The area of a trapezoid is bounded by the lines y = x, y = 10, y = 5, and the y− axis is 37.5 square units.
What is the area of the trapezium?A trapezium is a quadrilateral having two opposite sides parallel.
The area of a trapezium is equal to;
[tex]\rm Area =\dfrac{1}{2} \times \text{Distance between the parallel sides} \times \text{Sum of the parallel sides}[/tex]
The trapezoid is bounded by the lines y = x, y = 10, y = 5, and the y− axis.
The vertices are at (0,10), (10,10),(5,5) and (0,5)
You need to find the area of the rectangle (0,10) (10,5) (0,5) and (5,5)
The lengths are 5, 5,5,5.
The area of the legs is = 5 × 5 =25
The area is;
[tex]\rm Area =\dfrac{1}{2} \times \text{Distance between the parallel sides} \times \text{Sum of the parallel sides}\\\\Area =\dfrac{1}{2} \times 5 \times 5\\\\Area =12.5[/tex]
And the right triangle (10,5),(5,5), and (10,10) the right angle is at (10,5)
the two legs are lengths 5 and 5
so together they are 25 +12.5=37.5 square units.
Hence, the area of a trapezoid is bounded by the lines y = x, y = 10, y = 5, and the y− axis is 37.5 square units.
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If it takes 2/3 hours to paint 2/5 room how many hours does it take to paint one room
Step-by-step explanation:
2/3 hours for 2/5 room.
that means
5×2/3 = 10/3 hours for 5×2/5 = 2 rooms
and then 1 room in 10/3 / 2 = 5/3 hours
can i get some help please the ordered pair (__ __) represents the cost of 6 pounds of noodles
Pounds of noodles is along the bottom which is the X value. The cost is on the side which is the y value.
6 pounds would be the x, find the cost on the graph, which is shown but the dot, 15
answer : (6,15)
Can someone help with this?
Answer:
4 < n < 130.
Step-by-step explanation:
n is a positive integer
n^100 > 2^200
2^2*100 = 2^200
4 ^100 = 2^200
So n > 4
(130n)^50 > n^100
130^50 * n^50 > n^100
130^50 > n^50
130 >n
so n < 130.
witch value from the set {3,8,9,14} makes the euation true 2n-5=
The value from the set {3,8,9,14} makes the equation 2n - 5 = 11 true is n = 8
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
2n - 5 = 11
When n = 3:
2(3) - 5 = 1 ≠ 11
When n = 8:
2(8) - 5 = 11
When n = 9:
2(9) - 5 = 13
When n = 14:
2(14) - 5 = 23
The value from the set {3,8,9,14} makes the equation 2n - 5 = 11 true is n = 8
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Sabine rode on a passenger train for 480 miles between 10:30 A.M. and 6:30 P.M. to visit
a friend in a different city.
Part A
Calculate the train's average speed while Sabine was riding.
Answer
miles per hour
Answer:
60
Step-by-step explanation:
630 minus 1030 is 8 hours
480 divided by 8 is 60
A polygon is graphed in the coordinate plane. The coordinates of the polygon's vertices are listed.
(2, 2)
(-6, 5)
(-6, -4)
(0,0)
which graph shows the polygon?
The coordinates (2, 2),(-6, 5),(-6, -4),(0,0) are well defined in the Graph 4.
The correct option is (D)
What is a Graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
Given Coordinates are: (2, 2),(-6, 5),(-6, -4),(0,0)
The above coordinates are well defined in the Graph 4.
Hence, the correct graph is (d)
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rek is attending a four-year college. His tuition for one year derek is attending a four year college.his tuition for one year is $12,400 and his family is going to contribute $4,120.
w much does Derek need to save each month his junior and senior year of high school (two full years) to pay for the first year at
four-year college?
A. $516.67
B. $345.00
C. $172.50
D. $258.34
use the diagram below to solve for x
Answer:
see the attachment!
#CarryOnLearning
What is the most prescise classification of this shape?
Answer:
the answer for this question isnparallelogram
Answer:
Parallelogram
Step-by-step explanation:
6.) A voicemail system password is 1 letter
followed by a 3-digit number less than 600.
How many different voicemail passwords are
possible?
Answer:
15600
Step-by-step explanation:
26 x 6 x 10 x 10 = 15600
There are 15600 different possible choices of voicemail passwords.
What is a permutation?A permutation is defined as a mathematical process which determines the number of different arrangements in a set of objects when the order of the sequential arrangements.
According to the fundamental counting principle, there are 26 choices of letters and 600 different digits of numbers,
So, the Count of possibilities as
⇒ 26 x 600
⇒ 15600
Hence, there are 15600 different possible choices of voicemail passwords.
HELP ME PLS!!!!!!!!!!!!!!!! I NEED HELP ASAP CUZ I NEED TO GO SOMEWHERE!
Answer:
D 2,5
Step-by-step explanation:
have a good day and don't copy me
does someone mind helping me with this question? Thank you!
Answer:
I dont mind :D These were my favorite! They are actually really simple. Dont overthink it. It even gave you a hint!
It says a^2 + b^2 = c^2
We can substitute what we do have which is a = 10 and c = 15
10^2 + b^2 = 15^2
Now we square it
100 + b^2 = 225
Next, all we have to do is subtract the 100 from our answer so 225-100 which is 125, so b has to be 125!!! Because 125 + 100 is 225 :D
Step-by-step explanation:
The length of "b" using Pythagoras Theorem.
Solution:[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {10}^{2} + {b}^{2} = {15}^{2} [/tex]
[tex]b = {15}^{2} - {10}^{2} [/tex]
[tex] {b}^{2} = 125[/tex]
[tex]b = \sqrt{125} [/tex]
[tex]b = 11.18033989[/tex]
[tex]b = 11.2 \: (nearest \: tenth)[/tex]
Therefore, the length of "b" is 11.2
A spool with 18 feet of ribbon will be cut into 8-inch segments. how many 8-inch segments can be cut from the spool of ribbon?
Answer:
27
Step-by-step explanation:
First, we convert 18 ft to inches.
18 × 12 in. = 216 in.
Now we divide 18 ft written as 216 in. by 8 in.
216 in. / 8 in. = 27
Answer: 27
The circumference of a circle is 24 feet. What is the approximate length of the radius? Round to the nearest tenth
circumference= 24 feet
to find:the radius of the circle.
solution:[tex]c = 2\pi \: r[/tex]
[tex]r = \frac{c}{2\pi} [/tex]
[tex]r = \frac{24}{2 \times \pi} [/tex]
[tex]r = 3.81972[/tex]
[tex]r = 3.8 \: ft[/tex]
therefore, the radius of the circle is 3.8 feet.
Answer:
3.80
Step-by-step explanation:
The circumference has /pi and diameter
lets just say pi is 3.14
24/3.14 = 7.64
that means the diameter is 7.64
Radius is half, or 1/2 of the diameter
7.64/2 = 3.82
radius = 3.82
3.82 rounded is 3.8
Expand and simplify (5x+2)(2x+3)
Answer:
10ˣ² +19ˣ + 6
Step-by-step explanation:
5ˣ(2x + 3) + 2 (2x + 3 )
10x² + 15x + 2(2x + 3 )
10x² + 15x + 4x + 6
= 10x² + 19x + 6
the measure of ∠ABD is (0.18x+54)° and the measure of ∠CBD is (0.07x+39)°. find the value of x.
Answer:
x = 348
Step-by-step explanation:
From the given we can tell it a supplementary angle.
Don't know what supplementary angle is?
Supplementary angle are angles that :
Equal 180 °
Solve:
Since,
∠ABD is (0.18x+54)°
∠CBD is (0.07x+39)°
Thus,
(0.18x+54) + 0.07x + 39 = 180
Group likes terms:
0.25x + 54 + 39 = 180
0.25 + 93 = 180
Subtract 93 from both sides
0.25x = 87
x = 348
Check Answer:
0.18(348) + 54 + 0.07(348) + 39
= 180
What is the volume?
8 in
8 in
8 in
cubic inches
What is the missing angle? (Please use image attached)
Answer:
56
Step-by-step explanation:
Since vertical angles are equal, we know the two angles labeled are equal.
We can then set up an equation to get
[tex]19x-28=9x+52.[/tex]
Subtracting [tex]9x[/tex] from both sides to isolate the variable gives us
[tex]10x-28=52[/tex].
Then, adding [tex]28[/tex] to both sides gives
[tex]10x=80,[/tex]
and dividing both sides by 10 gives
[tex]x=8.[/tex]
Now, we can find the measure of [tex]9x+52[/tex] by plugging what we found for [tex]x[/tex] in:
[tex]9(x)+52=9(8)+52=72+52=124.[/tex]
Since the angles ? and 9x+52 make up a line, they are supplementary. Therefore, we have
[tex]?=180-(9x+52)=180-124=\boxed{56}.[/tex]
What is the slope of a line parallel to the line whose equation is x+2y=-14x+2y=−14. Fully simplify your answer.
Answer:
x+2y=-14x+2y=-14
x+14x+2y-2y=-14
15x+0=-14
15x=-14
15x/15=-14/15=-7/5
x=7/5.
Step-by-step explanation:
Before you start calculating the following . You need to group like terms .Also when you are moving the numbers to the other side and it is negative you need to change it to positive . Also when you are changing it to the other side and it is positive you need to change it to negative.Thank you for the question
please help with the picture below
What value of X will make line 1 parallel to line 2
A. 32
B.58
C.72
D.148
Answer:
Step-by-step explanation:
Remark
The angles are marked as alternate interior angles. To be parallel, they must be equal. In other words x - 20 must equal 52. That's all you have to do. Just equate the 2 givens and solve.
Givens
x - 20 is one angle
52 is the other.
Solution
x - 20 = 52 Add 20 to both sides.
x - 20 + 20 = 52 +20 Combine
x = 72
Answer: C
$3000 principal earning 5%, compounded semi-annually, after 20 years.
Answer:
$ 8055.19
Step-by-step explanation:
interest per period .05 /2 = .025
periods = 20 * 2 = 40 periods
3000 ( 1+.025)^40 =
pls help (it is for a frend)
Answer:
76.02%
Step-by-step explanation:
Took the test
Mark brainliest :)
Which expression represents “12 less than the product of n and 5”?
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Which expression represents "12 less than the product of n and 5"?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
12-5n
[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]
First of all, the "product" indicates that you multiply these numbers.
Here we are asked to multiply a number n times 5. This can be written as follows:
[tex]\red{\textsf{\textbf{5n}}}[/tex]
Now, "12 less" indicates that we subtract 12 from something; in this case, this "something" is 5n:
[tex]\red{\textsf{\textbf{\underline{\underline{12-5n}}}}[/tex]
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Giveing 15 points.Use the rectangle to find the measure of the following angles measure ane BAC=25
1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.
2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.
3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.
4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.
5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.
6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.
I Need help Really bad
Answer:
7776π in³
Step-by-step explanation:
You are given the area of the sphere, so you can use the area formula to find its radius. Then the volume formula can be used to find the volume.
__
radiusThe area of the sphere is given by the formula ...
A = 4πr²
Solving for r, we find ...
A/(4π) = r²
√(A/(4π)) = r = √(1296π/(4π)) = √324 = 18
The radius of the sphere is 18 inches.
__
volumeThe volume formula is ...
V = 4/3πr³
Using the found radius, we find the volume to be ...
V = 4/3π(18 in)³ = 4/3(5832)π in³
V = 7776π in³
Jada recorded the heights of the plants she's growing in her garden. This line plot shows what she recorded.
How much taller is one of the tallest plants than one of the shortest plants?
The tallest plant is [tex]1 \dfrac{3}{4}\ inches[/tex] timed taller than the shortest plant.
What is graphical analysis?The finding of the conclusion by reading the data on the graph is termed as the graphical analysis.
Given:
The line plot below shows the heights of flowers in a garden.
To Find:
How much taller is the tallest flower than the shortest flower?
The solution will be:
Knowing that each dot represents it's heights.
Let's makes a table:
[tex]6 \dfrac{1}{2} =OO[/tex]
[tex]6 \dfrac{3}{4} = O[/tex]
7 ⇒ ОООО
[tex]7 \dfrac{1}{4} == > OOOOOO[/tex]
[tex]7 \dfrac{1}{2} = OOOO[/tex]
[tex]7 \dfrac{3}{4} = OO[/tex]
8 ⇒ none
[tex]8 \dfrac{ 1}{4} = O[/tex]
[tex]8 \dfrac{1}{2}[/tex] ⇒ none
It's also given that the tallest flower and the shortest flower.
Which is:
Smallest → [tex]6 \dfrac{1}{2}[/tex]
Tallest → [tex]8 \dfrac{1}{4}[/tex]
Now all we have to do is subtract tallest flower from the shortest flower.
[tex]8 \dfrac{ 1}{4} - 6\dfrac{ 1}{2}[/tex]
Break off 1 from 8 : 8 1/4 = 7 5/4
Now we have:
[tex]7 \dfrac{5}{4} - 6\dfrac{ 1}{2}[/tex]
Subtract whole number: 7 - 6 = 1
Combine fraction:
[tex]\dfrac{5}{4} - \dfrac{1}{2} = \dfrac{3}{4}[/tex]
[tex]=1 + \dfrac{3}{4}[/tex]
Hence the tallest plant is [tex]1 \dfrac{3}{4}\ inches[/tex] timed taller than the shortest plant.
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Can somebody please help
Answer:
It is the third one.
Step-by-step explanation:
h=V/πr² because when you transpose for h, you will be dividing both sides by πr², leaving you with h on one side, and V/πr² on the other. I don't know if this is detailed enough.
x^8+x^4+1−(24)(7)−45 simplify
[tex] {x}^{8} + {x}^{4} + 1 - (24)(7) - 45[/tex]
to find:the simplest form.
solution:[tex] {x}^{8} + {x}^{4} + 1 - (24)(7) - 45[/tex]
[tex] = {x}^{8} + {x}^{4} + 1 - 168 + - 45[/tex]
[tex] = ( {x}^{8} ) + ( {x}^{4} ) + (1 + - 168 + - 45)[/tex]
[tex] = {x}^{8} + {x}^{4} - 212[/tex]
4 Write a recursive formula for the sequence below.
f(1) = 3, f(2) = 7, f(3)=11, f(4)=15
Answer:
aₙ = aₙ₋₁ + 4
Step-by-step explanation:
Finding the common difference (d) :
d = f(2) - f(1)d = 7 - 3d = 4Hence, the recursive formula :
aₙ = aₙ₋₁ + 4y²+y-20 can sb answer this
Answer:
STEP ONE.
Use the sum-product solution.
y² + y - 20
y² + 5y - 4y - 20
STEP TWO.
Common factors from the pairs.
y² + 5y - 4y - 20
y (y + 5) - 4 (y + 5)
STEP THREE.
Rewrite in factored form.
y (y + 5) - 4 (y + 5)
(y - 4) (y + 5)
SOLUTION
(y - 4) (y + 5)
Step-by-step explanation:
hope this helped !! good luck and make sure to always stay safe and happy !
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