The same method of subtracting the amount of fabric used from the amount she started with to estimate the amount of fabric Gabby has left.
How to estimate the amount of fabric Gabby has left?To estimate the amount of fabric Gabby has left, we can subtract the amount of fabric she used from the amount she started with:
57878 - 3215215 ≈ -3157337
However, we can see that this result is negative, which doesn't make sense in the context of the problem. It's not possible for Gabby to have negative yards of fabric left.
It's likely that there was a mistake in the problem statement or in the numbers given. If the problem were corrected, we could use the same method of subtracting the amount of fabric used from the amount she started with to estimate the amount of fabric Gabby has left.
Learn more about subtracting
brainly.com/question/2346316
#SPJ11
The graph below shows segment FG and point P what is the first coordinate of point M
Note that the first coordinate of M is -1. (Option D)
Why is this so?
Given :- coordinates of F = (-4,-2) = (x1,y1)
coordinates of G = (2,-2) = (x2,y2)
coordinates of P = (2,-8) = (x3,y3)
and distance between point M and P is half of the distance between FG
To find :- first coordinate of point M
solution :- let the coordinate of M be (x4,y4)
as we know that distance between of the opposite point of parallel line segments are equal
so, second coordinate of M = -8
now by distance formula
FG = √(x2-x1)² + (y2-y1²)
= √[2-(-4)]² + [-2-(-2)]²
= √(2+4)² + (2-2)²
= √(6)² + (0)²
=√36
F G = 6
so, distance between point M and P = 1/2 × F G
= 1/2 × 6
= 3units
again, by distance formula
MP = √(x3-x⁴)² + (y3-y4)²
3 = √(2-x⁴)² + [-8-(-8)]²
squaring on both side
(3)² = (√(2-x⁴)² + [-8-(-8)]²)²
9 = (2-x⁴)² + [-8-(-8)]²
9 = (2-x⁴)²+(0)²
9 = (2-x⁴)²
√9 = 2-x⁴
3 = 2-x⁴
x⁴ = 2-3
x⁴ = -1
Hence the first coordinate of M is -1
Learn more about coordinate at:
https://brainly.com/question/16634867
#SPJ1
Full Question:
Although part of your question is missing, you might be referring to this full question:
Point M is located in the third quadrant.
The distance between point M and point P is half the distance between point F and point G.
• Segment MP is parallel to segment FG. What is the first coordinate of point M?
When are the lower and upper quartiles calculated by finding the average of two values
The lower and upper quartiles are calculated by finding the average of two values when there is an even number of data points in the dataset. Specifically, the lower quartile (Q1) is the average of the middle two values when the dataset is sorted in ascending order, and the upper quartile (Q3) is the average of the middle two values when the dataset is sorted in descending order.
When are the lower and upper quartiles calculated by finding the average of two values The lower and upper quartiles are values that divide a dataset into four equal parts. The lower quartile (Q1) marks the point below which the lowest 25% of the data falls, and the upper quartile (Q3) marks the point below which the highest 25% of the data falls. When there is an odd number of data points in the dataset, Q1 and Q3 are the median of the lower half and upper half of the dataset, respectively. However, when there is an even number of data points, there is no exact middle value, so the lower and upper quartiles are calculated by averaging the two values that fall in the middle. This ensures that Q1 and Q3 still divide the dataset into four equal parts.
Learn more about average
brainly.com/question/27646993
#SPJ11
After a teacher handed out
m packs of notebooks with c notebooks in each pack, he has 13 notebooks left. how many notebooks did he originally have?
The teacher originally had [tex]m*c + 13[/tex] notebooks.
How many notebooks the teacher originally had?If the teacher handed out m packs of notebooks with c notebooks in each pack, then the total number of notebooks that he gave out would be [tex]m*c[/tex].
If he gave out m packs of notebooks with c notebooks in each pack and has [tex]13[/tex] notebooks left, then the total number of notebooks he originally had would be:
[tex]m*c + 13[/tex]
Therefore, the expression for the total number of notebooks originally had by the teacher is [tex]m*c + 13[/tex].
To learn more about such notebook problems:
brainly.com/question/2150889
#SPJ11
Shen will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $40 and costs an additional $0.30 per mile driven. The second plan has no initial fee but costs $0.80 per mile driven.
If Shen drives fewer than 80 miles, the first plan will be cheaper. If he drives more than 80 miles, the second plan will be cheaper.
Let's denote the number of miles driven by "m".
Under the first plan, Shen will pay an initial fee of $40, and then an additional $0.30 for each mile driven. So the total cost, C1, can be expressed as:
C1 = 0.3m + 40
Under the second plan, Shen will not have to pay an initial fee, but he will be charged $0.80 for each mile driven. So the total cost, C2, can be expressed as:
C2 = 0.8m
To determine which plan is cheaper for a given number of miles driven, we can set the two expressions for cost equal to each other and solve for "m":
0.3m + 40 = 0.8m
Subtracting 0.3m from both sides, we get:
40 = 0.5m
Dividing both sides by 0.5, we get:
m = 80
So if Shen drives fewer than 80 miles, the first plan will be cheaper. If he drives more than 80 miles, the second plan will be cheaper.
It's worth noting that this assumes that Shen is only considering the cost of the rental when making his decision. If there are other factors he is considering, such as convenience or availability, he may choose a different plan even if it ends up being slightly more expensive.
To know more about cost, refer to the link below:
https://brainly.com/question/28598994#
#SPJ11
-1(x^2-4x+8)
Multiply
To multiply -1(x^2-4x+8), we need to distribute the -1 to each term inside the parentheses:
-1(x^2-4x+8) = -x^2 + 4x - 8
So, the product of -1 and the expression (x^2-4x+8) is -x^2 + 4x - 8.
Answer this question please ( Marking best answer brainiest )
A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The dice has eight sides, hence the theoretical probability of rolling a six is given as follows:
1/8 = 0.125 = 12.5%.
The experimental probabilities are obtained considering the trials, hence:
100 trials: 20/100 = 0.2 = 20%.400 trials: 44/400 = 0.11 = 11%.The more trials, the closer the experimental probability should be to the theoretical probability.
More can be learned about probability at https://brainly.com/question/24756209
#SPJ1
At a real estate agency, an agent sold a house for $315000. the commission rate is %6.5 for the real estate agency and the commission rate for the agent is %20 of the amount the real estate agency gets. how much did the agency make on the house? how much did the agent earn in commission?
part 2
the agent earned $ in commission.
If the commission rate is %6.5 for the real estate agency, the real estate agency made $20,475 on the house. The agent earned $4,095 in commission.
First, let's determine the commission earned by the real estate agency. To do this, we'll multiply the house price ($315,000) by the commission rate (6.5%).
$315,000 * 6.5% = $20,475
The real estate agency made $20,475 on the house.
Next, let's determine the commission earned by the agent. We'll multiply the commission earned by the real estate agency ($20,475) by the agent's commission rate (20%).
$20,475 * 20% = $4,095
The agent earned $4,095 in commission.
So, the real estate agency made $20,475 on the house, and the agent earned $4,095 in commission.
More on real estate: https://brainly.com/question/24038809
#SPJ11
Layla got a new job through the Manchester Temporary Services. The job pays $53. 5K per year and the agency fee is equal to 32% of one month’s pay. How much must Layla pay the agency?
Layla must pay the agency a fee of $1,426.67 for their services in helping her secure her new job.
One month's pay = Annual salary / 12 months
One month's pay = $53,500 / 12
One month's pay = $4,458.33
Next, we need to determine the agency fee, which is equal to 32% of one month's pay:
Agency fee = 32% x One month's pay
Agency fee = 0.32 x $4,458.33
Agency fee = $1,426.67
Therefore, Layla must pay the agency a fee of $1,426.67 for their services in helping her secure her new job. Layla's agency fee is determined by taking 32% of her monthly pay, which is approximately $4,458.33. This results in a fee of approximately $1,426.67 that Layla must pay to the agency.
Learn more about salary questions here, https://brainly.com/question/24988098
#SPJ11
PLEASE HELP WILL MARK BRANLIEST!!!
The customer can choose from 21 different gifts if they want to order only 1 item, 138 different gifts if they want to order 2 items of different kinds, and 280 different gifts if they want to order 3 items of different kinds.
To find the different number of gifts, we use the fundamental counting principle, which states that the total number of ways to choose a sequence of items is equal to the product of the number of choices available for each item.
⇒ If a customer wants to order only 1 item, they can choose from:
10 varieties of "greeting-cards"
4 types of "fruit-baskets"
7 flower arrangements
So, total number of different gifts that can be created is: 10 + 4 + 7 = 21.
⇒ If a customer wants to order 2 items of different kinds, they can choose from:
10 varieties of greeting-cards and 4 types of fruit baskets :
(10 × 4 = 40 choices)
10 varieties of greeting cards and 7 flower arrangements :
(10 × 7 = 70 choices)
4 types of fruit-baskets and 7 flower arrangements :
(4 × 7 = 28 choices)
So, number of different gifts that can be created is: 40 + 70 + 28 = 138.
⇒ If a customer wants to order 3 items of different kinds, they can choose from:
10 varieties of greeting cards, 4 types of fruit baskets, and 7 flower arrangements (10 × 4 × 7 = 280 choices),
So, the total number of different gifts that can be created is : 280.
Learn more about Fundamental Counting Principle here
https://brainly.com/question/28384306
#SPJ1
Please Help Fast!!!!!!!!!!!!!!!!!!!!!!!!!
The number of solutions that are there for the pair of equations for lines Q and S is zero solution (no solution) because the lines are parallel with no point of intersection.
What is no solution?In Mathematics and Geometry, no solution is sometimes referred to as zero solution, and an equation is said to have no solution when the left hand side and right hand side of the equation are not the same or equal.
This ultimately implies that, a system of equations would have no solution when the line representing each of the equations are parallel lines and have the same slope i.e both sides of the equal sign are the same and the variables cancel out.
Read more on equation and no solution here: brainly.com/question/4110837
#SPJ1
Quinn is a budding fashion designer known for incorporating geometry into her creations. Her newest design is a simple black blouse patterned with same-size right triangles in different funky colors. The longer leg of each right triangle will be twice as long as the shorter leg, and the hypotenuse of each triangle will be 6 inches long. To the nearest tenth of an inch, what will be the length of the shorter leg of each triangle?
To the nearest tenth of an inch, the length of the shorter leg of each right triangle will be 2.7 inches.
What is the triangle?A triangle is a polygon with three sides and three angles. The sum of the three angles in a triangle always adds up to 180 degrees. There are many different types of triangles, including equilateral triangles (where all three sides are equal in length and all three angles are 60 degrees), isosceles triangles (where two sides are equal in length and two angles are equal in measure), and scalene triangles (where no sides are equal in length and no angles are equal in measure).
According to the given informationLet x be the length of the shorter leg of each right triangle. Then, the longer leg will be twice as long, so its length will be 2x. Using the Pythagorean theorem, we can write:
x² + (2x)² = 6²
Simplifying and solving for x, we get:
x² + 4x² = 36
5x² = 36
x² = 7.2
x ≈ 2.7
Therefore, to the nearest tenth of an inch, the length of the shorter leg of each right triangle will be 2.7 inches.
To know more about triangles visit:
brainly.com/question/30599944
#SPJ1
Which expression represents the surface area of the prism?
Choose 1 answer:
Choose 1 answer:
(Choice A)
2
⋅
6
+
12
+
8
+
8
2⋅6+12+8+82, dot, 6, plus, 12, plus, 8, plus, 8
A
2
⋅
6
+
12
+
8
+
8
2⋅6+12+8+82, dot, 6, plus, 12, plus, 8, plus, 8
(Choice B)
2
⋅
3
+
3
⋅
8
2⋅3+3⋅82, dot, 3, plus, 3, dot, 8
B
2
⋅
3
+
3
⋅
8
2⋅3+3⋅82, dot, 3, plus, 3, dot, 8
(Choice C)
3
+
3
+
12
+
8
+
8
3+3+12+8+83, plus, 3, plus, 12, plus, 8, plus, 8
C
3
+
3
+
12
+
8
+
8
3+3+12+8+83, plus, 3, plus, 12, plus, 8, plus, 8
(Choice D)
12
+
12
+
12
+
3
+
3
12+12+12+3+312, plus, 12, plus, 12, plus, 3, plus, 3
D
12
+
12
+
12
+
3
+
3
12+12+12+3+3
Options A and C are ruled out because they don't even represent legitimate expressions for a prism's surface area. [tex]12 + 12 + 12 + 3 + 3.[/tex]Thus, option D is correct.
What is the surface area of the prism?The expression that represents the surface area of the prism depends on the dimensions of the prism. However, we can use the formula for the surface area of a rectangular prism, which is:
Surface Area [tex]= 2lw + 2lh + 2wh[/tex]
where l is the length, w is the width, and h is the height of the prism.
Looking at the answer choices:
A)[tex]2.6 + 12 + 8 + 8 = 28.6[/tex]
B)[tex]2.3 + 3.8 = 6.1[/tex]
C)[tex]3 + 3 + 12 + 8 + 8 = 34[/tex]
D)[tex]12 + 12 + 12 + 3 + 3 = 42[/tex]
We can eliminate options A and C because they are not even valid expressions for the surface area of a prism.
Option B is a valid expression for the surface area, but it is not simplified.
Option D is also a valid expression for the surface area, and it is simplified.
Therefore, the answer is (D) [tex]12 + 12 + 12 + 3 + 3.[/tex]
Learn more about prism here:
https://brainly.com/question/29722724
#SPJ1
Vanessa's team played 8 games of basketball. During those 8 games her team's score was: 68, 76, 63, 58, 64, 75, 78 and 78.
What is the mean absolute deviation?
Please help!! Please answer it correctly too!!!! Whoever gets it correct gets brainliest!! and then I will give them 154 points!!!! please!!
The mean absolute deviation is 6.25.
To find the mean absolute deviation (MAD), we first need to find the mean of the scores:
Mean = (68 + 76 + 63 + 58 + 64 + 75 + 78 + 78) / 8 = 69.5
Next, we need to find the absolute deviation of each score from the mean. The absolute deviation is the absolute value of the difference between the score and the mean.
For example, the absolute deviation of the first score (68) is:
|68 - 69.5| = 1.5
We can calculate the absolute deviation for each score:
|68 - 69.5| = 1.5
|76 - 69.5| = 6.5
|63 - 69.5| = 6.5
|58 - 69.5| = 11.5
|64 - 69.5| = 5.5
|75 - 69.5| = 5.5
|78 - 69.5| = 8.5
|78 - 69.5| = 8.5
To find the MAD, we take the average of the absolute deviations:
MAD = (1.5 + 6.5 + 6.5 + 11.5 + 5.5 + 5.5 + 8.5 + 8.5) / 8 = 6.25
Therefore, the mean absolute deviation is 6.25.
To learn more about mean absolute deviation, click here:
https://brainly.com/question/10528201
#SPJ11
24. Anna, Berta, Charlie, David and Elisa baked biscuits at the weekend. Anna baked 24, Berta
25, Charlie 26, David 27 and Elisa 28 biscuits. By the end of the weekend one of the children had
twice as many, one 3 times, one 4 times, one 5 times and one 6 times as many biscuits as on
Saturday. Who baked the most biscuits on Saturday?
(A) Anna (8) Berta (C) Charlie (D) David (E) Elisa
At the end of the weekend, Elisa had the most biscuits (168). So, the answer is (E) Elisa baked the most biscuits on Saturday.
To determine who baked the most biscuits on Saturday, we need to calculate how many biscuits each child had at the end of the weekend.
Anna had 24 biscuits, Berta had 25, Charlie had 26, David had 27, and Elisa had 28.
Let's start with the child who had twice as many biscuits as on Saturday. We can divide their total number of biscuits by 2 to get the number they had on Saturday.
If we try this calculation for each child, we find that only Elisa's total number of biscuits (28) is evenly divisible by 2. Therefore, Elisa must be the child who had twice as many biscuits as on Saturday, meaning she had 14 biscuits on Saturday.
We can use a similar process to determine how many biscuits each child had on Saturday:
- The child who had three times as many biscuits as on Saturday must have had a total of 42 biscuits, which means they had 14 biscuits on Saturday.
- The child who had four times as many biscuits as on Saturday must have had a total of 56 biscuits, which means they had 14 biscuits on Saturday.
- The child who had five times as many biscuits as on Saturday must have had a total of 70 biscuits, which means they had 14 biscuits on Saturday.
- The child who had six times as many biscuits as on Saturday must have had a total of 84 biscuits, which means they had 14 biscuits on Saturday.
Now we can add up the number of biscuits each child had on Saturday:
- Anna had 24 biscuits.
- Berta had 25 biscuits.
- Charlie had 26 biscuits.
- David had 27 biscuits.
- Elisa had 14 biscuits.
Therefore, David baked the most biscuits on Saturday with 27.
To determine who baked the most biscuits on Saturday, we need to consider the information given about the multiplication factors (twice, 3 times, 4 times, 5 times, and 6 times) and the initial number of biscuits baked by each child.
1. Anna baked 24 biscuits.
2. Berta baked 25 biscuits.
3. Charlie baked 26 biscuits.
4. David baked 27 biscuits.
5. Elisa baked 28 biscuits.
Now, let's apply the multiplication factors and see which child had the most biscuits at the end of the weekend:
1. Anna: 24 x 2 = 48
2. Berta: 25 x 3 = 75
3. Charlie: 26 x 4 = 104
4. David: 27 x 5 = 135
5. Elisa: 28 x 6 = 168
At the end of the weekend, Elisa had the most biscuits (168). So, the answer is (E) Elisa baked the most biscuits on Saturday.
To know more about "Factors" refer here:
https://brainly.com/question/12344287#
#SPJ11
The outside of a closed glass display case measures 22" x 15" x 12". The glass is half inch thick. How much air is contained in the case
The volume of the air in the container is: 3,585.125 in³
What is the Volume of the Box?The volume of a box or cuboid is given by the formula:
V = L * W * H
Where:
L is length
W is width
H is height
We are given the external dimensions as:
Length = 22 inches
Width = 15 inches
Height = 12 inches
Since the glass is 1/2 inch thick, then the interior dimensions are:
New length = 22 - 1/2 = 21.5 inches
New Width = 15 - 1/2 = 14.5 inches
New height = 12 - 1/2 = 11.5 inches
Thus:
Volume of air in container = 21.5 * 14.5 * 11.5
= 3,585.125 in³
Read more about Volume of Box at: https://brainly.com/question/463363
#SPJ1
Please help with these Please explain if possibile
By using Pythagoras' theorem, triangle 3 and 4 is a right triangle, and others are not.
What is the triangle?
A triangle is a three-sided polygon with three vertices. The angle produced within the triangle is 180 degrees.
What is right-angled triangle?
A right-angled triangle is one with one of its interior angles equal to 90 degrees, or any angle is a right angle.
According to the given information:
The Pythagorean theorem states that " In a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides"
Let's check fig (3)
[tex]15^{2} =12^{2} +9^{2}[/tex]
225 = 144 + 81
225 = 225
both sides are equal, Therefore it is a right-angled triangle.
Let's check fig (4)
[tex]48.5^{2}=39^{2}+32.5^{2}[/tex]
2352.25 = 1521 + 1056.25
2352.25 ≠ 2577.25
Both sides are not equal, Therefore it is not a right-angled triangle.
Let's check fig (5)
[tex]11^{2}=9^{2}+\sqrt{115} ^{2}[/tex]
121 = 81 + 115
121 ≠ 196
Both sides are not equal, Therefore it is not a right-angled triangle.
Let's check fig (6)
[tex]16^{2} = 10^{2} + (2\sqrt{39}) ^{2}[/tex]
256 = 100 + 156
256 = 256
both sides are equal, Therefore it is a right-angled triangle.
Hence figure 3 and 6 is right angle triangle, others are not.
To know more about Triangles visit: https://brainly.com/question/5372699
#SPJ1
Find the slope of the line represented by the data below
Answer:
m = -3
Step-by-step explanation:
We Know
Slope = rise/run or (y2 - y1) / (x2 - x1)
Pick 2 points (0,15) (2,9)
We see the y decrease by 6, and the x increase by 2, so the slope is
m = -6/2 = -3
So, the slope of the line representing the data is -3.
algebra 2 PLEASE if you know
The system of inequalities that has a solution set that is a line is [x + y ≥ 3; x + y ≤ 3]; option A
What is a system of inequalities?A system of inequalities is a set of two or more inequalities that are solved simultaneously to find the values of variables that satisfy all the inequalities in the system.
Considering the given system of inequalities:
The system of inequalities that has a solution set that is a line is:
[x + y = 3;]
This is because the solution set of this equation is a line with slope -1 passing through the point (3, 0) and (0, 3).
Therefore, the system of inequalities [x + y ≥ 3; x + y ≤ 3] has a solution set that is a line.
Learn more about inequalities at: https://brainly.com/question/24372553
#SPJ1
1,2 2.1 2.2 2.3 20 Tilly wants to deposit money into her banking account at FNB bank: R3,50 + R1,00 per R100 is charged for an over the counter deposit. When an own ATM is used for deposits, R1,00 per R100 (First 2 free per month) is charged and for ATM withdrawals at own bank R6,50 +R1,00 per R100 is charged Determine the service fee which Tilly will incur, when: R700 is deposited over the counter? R700 was deposited as follows: R100 on Monday, R200 on Tuesday, and (3) R400 on Saturday during the first week of the month. R500 is withdrawn at an ATM? (2) (2) [14]
Service fee for the over the counter deposit of R700: R10.50
Service fee for the ATM withdrawal of R500: R11.50
To determine the service fee that Tilly will incur for the given transactions,
Over the Counter Deposit of R700:
Tilly is depositing R700, the fee will be:
Fee = R3.50 + (R1.00 per R100) x (R700 / R100)
= R3.50 + R7.00
= R10.50
Therefore, the service fee for the over the counter deposit of R700 is R10.50.
ATM Withdrawal of R500:
The fee for an ATM withdrawal at own bank is calculated as R6.50 + R1.00 per R100.
Since Tilly is withdrawing R500, the fee will be:
Fee = R6.50 + (R1.00 per R100) x (R500 / R100)
= R6.50 + R5.00
= R11.50
Therefore, the service fee for the ATM withdrawal of R500 is R11.50.
Learn more about Service fee here:
https://brainly.com/question/15306481
#SPJ1
(please help no links please)
the unit cube is divided into identical rectangular prisms. what is the volume of one of the identical prisms?
The volume of the unit cube is 1 cubic unit, and since it is divided into identical rectangular prisms, each of those prisms has the same volume. Therefore, the volume of one of the identical prisms is also 1 cubic unit.
What is the volume of one of the identical rectangular prisms obtained by dividing a unit cube?A unit cube has side lengths of 1 unit each, so its volume is simply 1 cubic unit. When the unit cube is divided into identical rectangular prisms, it means that each rectangular prism has the same volume as the unit cube, which is 1 cubic unit. Therefore, the volume of one of the identical prisms is 1 cubic unit.Learn more about unit cube
brainly.com/question/25411421
#SPJ11
All juniors and seniors at a high school were surveyed about whether they had ever had a summer job. This graph shows the data from the survey. PART A Based on the graph, what is the total number of students who were surveyed?
The total number of students who were surveyed is 575
The graph likely displays a horizontal axis and a vertical axis.
In this graph, the horizontal axis may indicate two categories, such as "juniors" and "seniors," and the vertical axis shows the number of students in each category who responded "yes," "no," or "not sure."
To find the total number of students surveyed, we need to look for the bar that represents the entire group of juniors and seniors. Typically, this bar will be labeled as "total," "all," or something similar. Once we locate this bar, we can add up the number of students represented by the bar. The value will be displayed on the vertical axis, and it should correspond to the sum of the bars for juniors and seniors separately.
=> 100 + 200 + 125 + 150 = 575
To know more about graph here
https://brainly.com/question/17267403
#SPJ1
Which of the following options doesn't have the same value as the others explain? 10/100, 10%, 1/10, 0.01
Answer:
it should be 1/10 if that helps you
Answer:
0.01 does not have the same value as the others.
Step-by-step explanation:
10/100, 10%, and 1/10 is all the same. 0.01 is NOT the same because it is equal to 1/100, or 1% while the others were all equal to 10%. To figure this out, you must multiply 0.01 by 100 (or move the decimal point one space to the right two times) and we will get 1. This means that 0.01 is 1% which is also equal to 1/100, therefore it does not obtain the same value as the others.
please help ASAP (can give brainliest)
Answer:
134° + (2x)° = 180°
(2x)° = 46°
x = 23
So angles 1, 2, 3, and 4 all measure 23°.
Use the image to determine the type of transformation shown.
Image of polygon ABCD and a second polygon A prime B prime C prime D prime below.
The type of transformation shown is a vertical transformation
Determining the type of transformation shown.In mathematics, a vertical translation refers to a transformation of a function or graph that involves moving it up or down along the y-axis without changing its vertical transformation.
From the attached figure, we can see that the polygons are moved up or down to map them to one another
This means that the transformation is a vertical transformation
Read more about transformation at
https://brainly.com/question/4289712
#SPJ1
Complete question
Use the image to determine the type of transformation shown.
Image of polygon ABCD and a second polygon A prime B prime C prime D prime below.
Vertical translation
Reflection across the x-axis
180° counterclockwise rotation
Horizontal translation
8. The scatter plot shows the relationship between the number
of chapters and the total number of pages for several books.
Use the trend line to predict how many pages would be in a
book with 19 chapters.
Pages
11
1220+----
1200
180+
160-
(140+
120-
100+
80
60+
40+
20+
Chapters
0 2
4 6 8 10 12 14 16 18 20
Answer: So, according to this prediction, a book with 19 chapters would have approximately 950 pages. However, keep in mind that this is just a prediction based on the trend line, and there may be some variability in the actual number of pages for a book with 19 chapters.
Step-by-step explanation:
Unfortunately, I cannot see the scatter plot you are referring to. However, I can explain how to use a trend line to predict the number of pages in a book with 19 chapters.
A trend line is a line that represents the general direction or tendency of the data in a scatter plot. To use a trend line to predict the number of pages in a book with 19 chapters, you would first need to determine the equation of the trend line.
This equation usually takes the form y = mx + b, where y is the dependent variable (in this case, the total number of pages), x is the independent variable (in this case, the number of chapters), m is the slope of the line, and b is the y-intercept (the value of y when x is 0).
Once you have the equation of the trend line, you can plug in the value x = 19 and solve for y to get the predicted number of pages in a book with 19 chapters.
For example, if the equation of the trend line is y = 50x + 200, then the predicted number of pages for a book with 19 chapters would be:
y = 50(19) + 200
y = 950
So, according to this prediction, a book with 19 chapters would have approximately 950 pages. However, keep in mind that this is just a prediction based on the trend line, and there may be some variability in the actual number of pages for a book with 19 chapters.
To know more about trend line refer here
https://brainly.com/question/22722918#
#SPJ11
According to "7-Year-Old Girl Gets New Hand from 3-D Printer," which is the best explanation of why Faith needs a prosthetic hand?
She needs extra help holding onto paper, bicycle handlebars, and other objects.
She has been waiting for the opportunity to design her own hand.
The waiting list was too long for other types of treatment.
She lost her left hand due to a condition at birth
Faith needs a prosthetic hand because she lost her left hand at birth and requires assistance holding objects.
Why does Faith need a prosthetic hand in "7-Year-Old Girl Gets New Hand from 3-D Printer"?According to the article "7-Year-Old Girl Gets New Hand from 3-D Printer," Faith is a young girl who was born with a condition that caused her to lose her left hand. As a result, she has difficulty holding onto objects such as paper and bicycle handlebars. Faith had been waiting for an opportunity to design her own prosthetic hand, but the waiting list for other types of treatment was too long. Fortunately, a team of students and educators at a local university were able to create a prosthetic hand for her using a 3-D printer. The new hand will allow Faith to have greater independence and mobility, and she is excited to be able to participate in activities she was previously unable to do. This story is an example of how technology can be used to improve the lives of individuals with disabilities and provide them with greater opportunities to participate fully in everyday life.
Learn more about prosthetic hand
brainly.com/question/28490285
#SPJ11
The perimeter of the rectangle below is 16 cm. What is the value of k? 5 cm kcm Not to scale
Answer:
3 cm.
Step-by-step explanation:
Let's use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.In this case, we have:P = 16 cm (given)
l = k cm (given)
w = 5 cm (given)Substituting these values into the formula, we get:
16 cm = 2(k cm) + 2(5 cm)
Simplifying, we get:
16 cm = 2k cm + 10 cm
Subtracting 10 cm from both sides, we get:6 cm = 2k cm
Dividing both sides by 2, we get:
3 cm = k
Therefore, the value of k is 3 cm.
Construct angle XYZ in which XY= 8.3 cm, YZ= 11.9 cm. ii, Construct M the midpoint of XZ where XYZ= 60o. iii, Measure YM.
i) The angle XYZ in which XY= 8.3 cm, YZ= 11.9 cm is constructed.
ii) M the midpoint of XZ where XYZ= 60 is constructed.
iii) The measure of YM is 6.3 cm
Firstly, you are asked to construct an angle XYZ where XY= 8.3 cm and YZ= 11.9 cm. To construct an angle, we need to follow a few steps.
Draw a line segment XY of length 8.3 cm.
At point Y, draw a ray YZ extending in the direction of Z.
Using a compass, draw an arc of radius 11.9 cm from point Y, intersecting the ray YZ at point Z.
The angle XYZ is the angle formed by the line segments XY and YZ.
Now, you need to construct the midpoint M of XZ. The midpoint of a line segment is the point that divides it into two equal parts. To construct the midpoint, we follow these steps:
Draw a line segment XZ joining points X and Z.
Using a compass, draw an arc of radius greater than half of XZ from point X.
Using the same radius, draw another arc from point Z intersecting the first arc at point P.
Draw a line through points X and P, and another line through points Z and P. These two lines will intersect at the midpoint M of line segment XZ.
Finally, you are asked to measure angle YM. To measure an angle, we use a protractor.
Draw a line segment YM.
Place the protractor at point Y with the base line of the protractor aligned with line segment YZ.
Read the angle measurement where line segment YM intersects the protractor.
To know more about angle here
https://brainly.com/question/4316040
#SPJ1
A cylinder has a height of 4 in and a base circumference of 12. What is the approximate volume of the cylinder? Round to the nearest whole number.
Answer: 48 inches
Step-by-step explanation:
Determine all of the characteristics of the hyperbola with equation:
(x+12)^2/36-(y-15)^2/100=1
The characteristics of the hyperbola with equation (x+12)²/36-(y-15)²/100=1 are:
Center: (-12, 15)Transverse axis length: 2a = 12Conjugate axis length: 2b = 20Distance from center to foci: c ≈ 11.66Foci: (-12, 26.66) and (-12, 3.34)Vertices: (-18, 15) and (-6, 15)How to explain the hyperbolaComparing the given equation with the standard form, we have:
(h, k) = (-12, 15)
a² = 36
b² = 100
Taking the square root of a² and b², we get:
a = 6
b = 10
c² = 36 + 100
c² = 136
c ≈ 11.66
The foci of the hyperbola are located at (-12, 15 + 11.66) and (-12, 15 - 11.66), which are approximately (-12, 26.66) and (-12, 3.34).
Learn more about hyperbola on
https://brainly.com/question/26250569
#SPJ1
