Answer:
3.2 ft
Step-by-step explanation:
The initial distance from the base of the ladder to the wall is:
[tex]20^2=16^2+d^2\\d=12\ ft[/tex]
After moving the ladder, the distance from the base to the wall is 12 - 2x while the height of the ladder is 16 + x. The distance x is given by:
[tex]20^2 = (12-2x)^2+(16+x)^2\\400 = 144-48x+4x^2+256+32x+x^2\\5x^2-16x=0\\5x=16\\x=3.2\ ft[/tex]
Therefore, the top of the ladder is 3.2 ft higher now.
Answer:
3.2ft higher
Step-by-step explanation:
Use the fraction bar interactive tool to find the lowest common denominator before subtracting 2 3 from 5 6 . What is the lowest common denominator? Rewrite the difference as a sum of the fractions using the lowest common denominator. What is the answer?
Answer:
What is the lowest common denominator?
✔ 6
Rewrite the difference as a sum of the fractions using the lowest common denominator.
✔ 5/6 + (–4/6)
What is the answer?
✔ 1/6
Step-by-step explanation:
Fractions can be combined by taking their LCMs
The lowest common denominator is 6The new expression is [tex]\mathbf{-\frac{4}{6} + \frac{5}{6}}[/tex]The numbers are given as:
[tex]\mathbf{\frac{2}{3}\ and\ \frac{5}{6}}[/tex]
The denominators are 3 and 6.
Factor both numbers;
[tex]\mathbf{3 = 1\times 3}[/tex]
[tex]\mathbf{6 = 1 \times 2 \times 3}[/tex]
So, the LCM is:
[tex]\mathbf{LCM = 1 \times 2 \times 3}[/tex]
[tex]\mathbf{LCM = 6}[/tex]
The lowest common denominator is 6
The expression is represented as:
[tex]\mathbf{ - \frac{2}{3}\ + \ \frac{5}{6}}[/tex]
Rewrite as:
[tex]\mathbf{ - \frac{2}{3}\ + \ \frac{5}{6} = -\frac{4}{6} + \frac{5}{6}}[/tex]
Hence, the new expression is [tex]\mathbf{-\frac{4}{6} + \frac{5}{6}}[/tex]
Read more about fractions at:
https://brainly.com/question/6201432
what is the range of h?
Answer:
C -3, -2 ,2, 4
Step-by-step explanation:
The range is the output values, or the y values
-3, -2 ,2, 4 are the output values
EASY multiple choice question for y’all mathy people! Easy points. Question in photo.
Answer:
B
Step-by-step explanation:
Sofi is competing in a long jump competition. His first jump is 5.25 m. Your best jump is 8% more than this. However, his best jump is 10% lower than the winning jump. Calculate the length of the winning jump.
Answer: 6.3 m
Step-by-step explanation:
"8% more" = 1.08 (which is 1+0.08). "10% less" = 0.90 (which is 1-0.10).
first = 5.25
her_best = 1.08*first
her_best = 0.90*winning
Substitute to determine the winning jump's length.
winning = 1.08*5.25/0.90 = 6.3
So, the winning jump was 6.3 meters.
Find the median for the data set. 9, 14, 11, 8, 3, 15*
Your answer
Answer:
10
Step-by-step explanation:
Align the data from smallest to largest
3,8,9, 11, 14, 15*
The median is the middle number
3,8,9, 11, 14, 15*
It would be between the 9 and 11 since there is an even number of numbers
(9+11)/2 = 20/2 = 10
The median is 10
Solution:
Arranging the data in ascending order:
3,8,9,11,14,15
N(total number of items)=6
Median=(N+1/2) th item
=(6+1/2)th item
=(7/2)th item
=3.5th item.
Again,Median=3rd item+4th item/2
=9+11/2
= 20/2
=10
Median =10
Hope it helps...
PLEASE HELP!!!!! Chloe stops for lunch in a town that has no meal tax. She has $20 and tips 15%. Select all the prices of meals she could buy. $18.50 $16.25 $15.75 $17.45 $15.95
Answer:
$16.25 $15.95 $15.75
Step-by-step explanation:
because a 15% tip is $3.00
The Taylor family's pancake recipe uses 2 teaspoons of baking powder for every 1/3 of a teaspoon of salt. How much baking powder would they need if they used 1 teaspoon of salt?
Answer:
6 teaspoons
Step-by-step explanation:
2 teaspoons = 1/3 tsp of salt
6 teaspoons = 1 tsp of salt
This was done by multiplying 2 by 3 since 3 thirds (3/3) make one whole.
So if 2 teaspoons are used for 1/3 teaspoon of salt, 4 teaspoons would be used for 2/3 teaspoon of salt and 6 teaspoons would be used for 1 teaspoon of salt.
Solve for n.
9n − 7 = 3 + 8n − 2
n =
Answer:
[tex] \boxed{n = 8} [/tex]
Step-by-step explanation:
[tex] = > 9n - 7 = 3 + 8n - 2 \\ \\ = > 9n - 7 = 8n + 3 - 2 \\ \\ = > 9n - 8n = 1 + 7 \\ \\ = > n = 8[/tex]
Answer:
8
Step-by-step explanation:
9n - 7 = 3 + 8n - 2
Combine like factors.
9n - 7 = 8n + 1
Subtract 8n from both sides
n - 7 = 1
Add 7 to both sides.
n = 8
What is the common difference of 4, 10, 16, 20
Answer:
6 and 4
Step-by-step explanation:
4, 10, 16, 20
common difference:
10-4= 16-10= 6, 20-16 = 4
Since common difference is not equal this is not AP
Express 192 as the product of its prime factors write the prime factors in ascending order.
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
You are selling concessions at a local swim meet. Hot dogs are being sold for $1.00 and soda is being sold for $0.50. At the end of the day you made $150. Let x represent the number of hotdogs sold and y represent the number of and sodas sold at the swim meet.
-Using the Standard Form, identify the y-intercept of the graph and explain how the y-intercept relates to the number of hot dogs and sodas sold.
Answer:
Step-by-step explanation:
Let's set up an equation in standard form.
x + 0.5y = 150
0.5y = -x + 150
y = -2x + 300
The y-intercept is 300. This means that when 0 hot dogs were sold, 300 sodas were sold.
The height of a square pyramid is one half the length of each side. The volume of the pyramid is 2,304 in.3. What is the height of the pyramid?
Answer:
Step-by-step explanation:
by making the length an inequality x height will be 1.5x
Volume=1/3BA xh
X×X×1.5X 1/3=2304
0.5x3=2304
X³=2304÷0.5
X³=4608
X=³√4608
X=16.64cm
H=16.64x1.5=24.96cm
The height of the square pyramid is equal to 24.96 cm.
What is a square pyramid?A square pyramid in geometry is a pyramid with a square base. A right square pyramid is one in which the peak is perpendicular to and above the square's centre.
Given that the height of a square pyramid is one-half the length of each side. The volume of the pyramid is 2,304 cubic inches.
The height of the square pyramid will be calculated as,
Volume=1/3BA xh
X×X×1.5X 1/3=2304
0.5x3=2304
X³=2304÷0.5
X³=4608
X=³√4608
X=16.64cm
H=16.64x1.5=24.96 cm
Therefore, the height of the square pyramid is equal to 24.96 cm.
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Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of
this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
VX
O 7 cm and 2 cm
O 8 cm and 9 cm
Answer: D also, can i have brainliest?
solution:
The other 2 sides added have to be greater than 13
Option A: 5 + 8 = 13. 13 is not greater than 13 so it's not the answer.
B: 6 + 7 = 13. Same thing as option A
C: 7 + 2 = 9. 9 is less than 13 so not the answer.
D: 8 + 8 = 16. 16 is greater than 13 so D is the correct answer.
i did this question for my homework once
hope this helps!
Answer:
8 cm and 9 cm
Step-by-step explanation:
D
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Step-by-step explanation:
The answer is the first one because the slope is technically [tex]\frac{2}{1}[/tex]
Up 2 over 1
Since the slope is positive, the graph goes to the right.
(0, -6) is the y intercept because it intersects the y - axis.
Then you draw those two points and connect them.
Answer:
its A OwO
Step-by-step explanation:
39) Natural numbers that have 1 as the common number between them are called?
Answer:
I think they're called The Prime numbers.
Tell me if it's correct
Answer:
odd numbers
1,3,5,7,9,11.......
Step-by-step explanation:
I need answer please help
Answer:
Correct option is the third option:
6*3 - 4+3^2
Third option
[tex] 6(3)-4+3^2 [/tex]
Step-by-step explanation:
[tex]f(x) = 4 - {x}^{2} \\ \red{ \bold{ f(3) = 4 - {3}^{2} }} \\ \\
g(x) = 6x \\ \purple{ \bold{ g(3) = 6( 3)}} \\ \\
(g - f)(3) = g(3) - f(3) \\ (g - f)(3) = 6( 3) - ( 4 - {3}^{2}) \\ \orange {\boxed {\bold {(g - f)(3) = 6( 3) - 4 + {3}^{2}}}} \\ [/tex]
what is the range of the exponential function f(x)=-3^x+7
The answer is letter D
What is the inverse of the function f(x) = 2x – 10?
O h(x) = 2x - 5
O h(x) = 2x + 5
O h(x) = 1/2x -5
O h(x) = 1/2x + 5
Answer:
The answer would be D.
Step-by-step explanation:
Which expression is equivalent to 4(2n – 3)?
2n - 3. ___
2n – 11. 9
n-3
Solution,
4(2n-3)
=4*2n-4*3
=8n-12
hope it helps
Good luck on your assignment
Answer:
[tex]= 8n - 12 \\ [/tex]
Step-by-step explanation:
[tex]4(2n - 3) \\ 4 \times 2n - 4 \times 3 \\ = 8n - 12[/tex]
hope this helps
brainliest appreciate
good luck! have a nice day!
how to solve 56 x 12 using a area model
Answer:
well your answer is 778 but I forgot how to use an area model
Step-by-step explanation:
The function fox) = x + 22x + 58 is translated 4 units to the right and 16 units up. What is the vertex form of the new
function?
x (x - 11)2 + 58
(r+ 22)2 – 121
(x + 7)2 - 47
(x-15)2 + 94
Intro
7
Done
Answer:
Step-by-stfffffffffffffffffffffffffffffffffffffffffffffffffffffep explanation:
POSSIBLE POINTS 100
A bank pays 3% annual simple interest on CDs (certificates of deposit) of $25,000. The Branson family
invests in 3 of the $25,000 CDs. How much interest does the family make in one year?
O A $22.50
OB $22,500.00
OC $2,250.00
OD $225.00
Answer:
Total interest in 1 year = $2,250
Step-by-step explanation:
Given:
Rate of simple interest = 3% = 0.03
Amount of investment = $25,000
Number of investment = 3
Find:
Total interest in 1 year .
Computation:
Simple interest = Amount of investment × Rate of simple interest
Simple interest = $25,000 × 0.03
Simple interest = $750
Total interest in 1 year = Simple interest × Number of investment
Total interest in 1 year = $750 × 3
Total interest in 1 year = $2,250
4y+2x=-7, solve for y, with proper steps. I WILL GIVE BRAINLIEST.
Answer:
4y = -7-2x
y = -7-2x/4
now give suitable value for x (Example 3)
Answer:
[tex]y=-\frac{1}{2} x-\frac{7}{4}[/tex]
Step-by-step explanation:
[tex]4y+2x=-7[/tex]
Subtract [tex]2x[/tex] from both sides of the equation.
[tex]4y+2x-2x=-7-2x[/tex]
[tex]4y=-7-2x[/tex]
Divide by 4 on both sides of the equation.
[tex]\frac{4y}{4} =\frac{-7-2x}{4}[/tex]
[tex]y=\frac{-2x-7}{4}[/tex]
Simplify the equation.
[tex]y=-\frac{1}{2} x-\frac{7}{4}[/tex]
Please do 69 and 70 quick please
I just have the answer of the 70.
it is 10560
Answer:
69 is 1/3 and 70 is 10560
Step-by-step explanation:
What is the difference of (-3.4x+4.7)-(3+2.9x)?
-0.5x+1.7
O -6.3x-1.7
0 -0.5x-1.7
O -6.3x+1.7
please help
Answer:
option 4
Step-by-step explanation:
-3.4x + 4.7 - (3 + 2.9x) = -3.4x + 4.7 - 3 - 2.9x (combine like terms)
= -3.4x - 2.9x + 4.7 - 3
= - 6.3x + 1.7
If two number have same sign, add and put the common sign for the answer.
If two numbers have different sign, subtract and the answer will have the sign of the bigger number
A group of students was asked, "How many hours did you watch television last week?" Here are their responses.
16, 11, 7, 18, 19, 5
Find the mean number of hours for these students.
If necessary, round your answer to the nearest tenth.
Step-by-step explanation:
Mean = 16 + 11 + 7 + 18 + 19 + 5 / 6
Mean = 76 / 6
Mean = 12.66
What is the solution to the inequality +4 50?
Answer:
d<-1.75
Step-by-step explanation:
I've ordered this shed. It is 2 meters wide, 3.25 meters long and 2 meters tall to the roof line. From the roof line to the peak is 0.8 meters high. I would like a 2nd floor or loft to increase the storage space. Please calculate the total amount of storage.
Answer:
18.2 cubic meters.
Step-by-step explanation:
From the measurements they give us, we assume that the shed has the shape of a rectangular prism, however, to calculate the amount of storage, we must calculate the volume.
The volume would be:
V = height * width * length
According to the statement height = 2, width = 2 and length = 3.25
V = 2 * 2 * 3.25
V = 13
That is, the volume of the shed is 13 cubic meters, but then they mention that the roof line to the peak is 0.8 meters high, which means that the volume can increase, the new volume would be changing the height = 2 + 0.8 = 2.8, the other values remain the same:
V = 2.8 * 2 * 3.25
V = 18.2
That is to say that when adding that part, the volume that is to say total amount of storage is 18.2 cubic meters.
Find the inverse function of h(x)=-2/3x+6
Answer:
-3/2 (x - 6)
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
I NEED HELP. THIS IS ABOUT SCATTER PLOTS PLEASE PROVIDE AN EXPLANATION!!
Answer:
A
Step-by-step explanation:
we know that the plot decreases from left to right so the slope is negative. that eliminates choices b and d. we also know that they y-intercept is between 5 and 8. that eliminates c.
hope this helps
