A trapezoid has base lengths of 20 units and 28 units. The area of the trapezoid is 408 square units. What is the height of the trapezoid?

Answers

Answer 1

Answer:

h = 17 units

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁ , b₂ the parallel bases

Here A = 408, b₁ = 20, b₂ = 28 , then

[tex]\frac{1}{2}[/tex] h (20 + 28) = 408 ( multiply both sides by 2 to clear the fraction )

48h = 816 ( divide both sides by 48 )

h = 17


Related Questions


Sam can make 15 pizzas in 2.5 hours. At this rate, how many could he make in an 8 hour work day? What is Sam´s rate per hour?

A copy machine makes 45 copies in 25 second. Find the unit rate of copied per second.

A sign in a store says 3 pens for $2.70. How much would 10 pens cost?

What is the unit price of 10 pounds of potatoes that cost $2.80?

Answers

Answer:

1) Sam makes 48 pizzas in 8 hours. Sam makes 6 pizzas per hour.

2) The machine makes 1.8 copies per second.

3) 10 pens cost $9.00

4) $0.28

Step-by-step explanation:

1)

[tex]\frac{15}{2.5} =\frac{x}{8} \\\\2.5x=120\\x=48[/tex]

[tex]\frac{15}{2.5} =\frac{x}{1} \\\\2.5x=15\\x=6[/tex]

2)

[tex]\frac{45}{25} =\frac{x}{1} \\\\25x=45\\x=1.8[/tex]

3)

[tex]\frac{3}{2.7} =\frac{10}{x} \\\\3x=27\\x=9[/tex]

4)

2.8/10 = 0.28

I need to know is One percent is greater than zero percent

Answers

Answer:

yes 1% is greater than 0% because 0 is nothing and 1 will always be greater than 0 unless there is something i dont know about UwU

Step-by-step explanation:

(13x-26) (5x+8) HELP

Answers

Answer:

x=11

Step-by-step explanation:

13×11+26=117

5×11+8=63

117+63=180

What is 62 remainder 3 as a whole number

Answers

Answer:

623

Step-by-step explanation:

Answer:

20 2/3

Step-by-step explanation:

PLEASE HELP ASAP!!

A square-based pyramid has a total surface area of 144 sq. meters. If the base length is 8 meters, what is the slant height of each of the triangular faces?

Answers

Answer:

Step-by-step explanation:

m

Find the value of x.
35°
B
40°
H
100°
A
D
F
х
60°
55°
E
x= [?]°

Answers

Answer:

25!

Step-by-step explanation:

The value of measure of arc FE is 25°.

What is a circle?

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

In the figure, GB and GD are the secants of the circle.

In circle, intercept two arcs such that the measure of the angle that the segments form is equal to one-half the difference of the measures of the intercepted arcs. Thus arc length can be found as

[tex]\frac{1}{2}(mBD-mFE)=m \angle BGD[/tex] -------- (1)

Here, BD = [tex]35+100[/tex]

⇒ [tex]135[/tex]

FE = [tex]x[/tex]

m∠BGD = 55°

Now, equation 1 becomes

⇒ [tex]\frac{1}{2}(135-x)=55[/tex]

⇒ [tex](135-x)=55(2)[/tex]

⇒ [tex]135-x=110[/tex]

⇒ [tex]x=135-110[/tex]

⇒ [tex]x=25[/tex]

Hence we can conclude that the value of measure of arc FE is 25°.

Learn more about circles here

https://brainly.com/question/2768531

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I need help on this for brainly

Answers

Answer:

d

Step-by-step explanation:

(7,1)

Competency: Write the linear equations Ax + By = C. Give the value of A,B, and C,.

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

y = - x + 4 ( add x to both sides )

x + y = 4

with A = 1, B = 1, C = 4

(2)

y = 5x + 7 ( subtract y from both sides )

0 = 5x - y + 7 ( subtract 7 from both sides )

- 7 = 5x - y , that is

5x - y = - 7

with A = 5, B = - 1, C = - 7

----------------------------------------------------------

(1)

2x + y = 9 ( subtract 2x from both sides )

y = - 2x + 9

with m = - 2, c = 9

(2)

5x + 2y = 7 ( subtract 5x from both sides )

2y = - 5x + 7 ( divide terms by 2 )

y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{7}{2}[/tex]

with m = - [tex]\frac{5}{2}[/tex] , c = [tex]\frac{7}{2}[/tex]

Do not give me any links or files.
Find the surface area of a sphere with radius 9 using the formula SA=4nr2
Leave answer in terms of n
A. 20 n units2
B. 25 n units2
C. 100 n units2

Answers

Answer:

972 u³

Step-by-step explanation:

The radius is 9 . We can use formula ,

⇒ V = 4/3 π r³

⇒ V = 4/3 × π × 9³

⇒ V = 4 × π × 81 × 3

⇒ V = 972 unit³

Solve for x.round to the nearest tenth. 70,6

Answers

Answer:

16.5

Step-by-step explanation:

Tan70°=x/6

x=6tan70°

=16.5

Ethan has partially filled the prism with 8 unit cubes.

A rectangular prism with length, height, and width of 3.
How many more cubes does he need to fill the prism completely?
10
15
19
21

Answers

Answer: is it c?

Step-by-step explanation:

Answer:

I think C is your answer.

Step-by-step explanation:

What point on the parabola y=3-x^2 is closest to the point ​(3​,3​)?

Answers

3+x-Y hope it helps :DD

ASAP HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!

Answers

Answer:

enlargement, greater than one

Step-by-step explanation:

it got bigger

Move the constant to the right.

3x + 87
− 12 = 0



3x + 87
=

Answers

Answer:

3x+87=12

This is the answer

Answer:

dtcttr57uhiiiiiiiioii

Find the area of the sector. Use 3.14 for the value of 5. Round your answer to the nearest tenth.

Answers

Answer:

12.56m^2

Step-by-step explanation:

a = piR^2

The area of a sector of a given circle is 37.7 m².

Given that, the radius of a circle=4 m and the central angle of a circle=270°.

What is the formula to find the area of a sector?

The area of a sector is the space inside the section of the circle created by two radii and an arc. It is a fraction of the area of the entire circle.

The formula to find the area of a sector is θ/360°(πr²).

Where r is the radius of the circle and θ is the angle of the sector.

Now, area=270°/360°(3.14×4×4)=37.68≈37.7 m².

Therefore, the area of a sector of a given circle is 37.7 m².

To learn more about the area of a sector visit:

https://brainly.com/question/7512468.

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Which sport has the smallest median height?

Answers

Answer:

baseball

Step-by-step explanation:

Answer:

baseball

Step-by-step explanation:

Look at the graph for baseball.  Notice how the median, represented by the vertical line inside the box, is the one farthest to the left of center.  This makes it the smallest median height (about 72.5 inches).

A kangaroo hops 2 kilometers in 4 minutes. How far can the Kangaroo hop in 10 minutes?

Answers

Answer:

5 km

Step-by-step explanation:

10/4 = 2.5

2 x 2.5 = 5

Answer:

5 Kilometers

Step-by-step explanation:

Simply divide 2 by 4 and multiply the number you get by 10.

4(a + -5) in expanded form?

Answers

Answer: a+-5 x 4 (I THINK)

Step-by-step explanation:

Write the equation of the circle with a center of (-5, 3) and a radius of 4.
A
(x + 5)2 + (y - 3)2 = 4
B
(x - 5)2 + (y + 3)2 = 4
(X - 5)2 + (y + 3)2 = 16
D
(x + 5)2 + (y - 3)2 = 16

Answers

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 5, 3 ) and r = 4 , then

(x - (- 5))² + (y - 3)² = 4² , that is

(x + 5)² + (y - 3)² = 16 → D

EMERGENCY!!!!!!!! I need help right now please

Answers

Answer:

50 Degrees

Step-by-step explanation:

Since they already have 40 degrees for you, and a little square means a right angle (90 Degrees), then 40 + 90 is 130. The interior angles of a triangle always add up to 180, so 180 - 130 is 50. The answer is therefore 50 degrees.

Triangle ABC is dilated using D as the center of dilation with a scale factor of 1/3

Answers

Answer:

The middle also 9 -8 = 1

Step-by-step explanation:

Help I will mark brain list.

Answers

Answer: the area equals 580

Step-by-step explanation: the area is length times height times width and it all equals to 580

hope this helps

What y’all think helps guysss!!!:((((

Answers

Answer:

pretty sure it's a yes

Step-by-step explanation:

Did it on khan a few months ago

sorry if I made it wrong, my memory isn't too well right now

Answer:

Yes.

Step-by-step explanation: Figure B is just a larger scale of figure A.

Concept 9.3: Find the value of x in the circle.

Answers

Answer:

x=4.5

Step-by-step explanation:

MAB=MBC

AB=BC

3x+2=5x-7

7+2=5x-3x

9=2x

x=9/2

x=4.5

hope it helps..

have a great day!!

Answer:

x = 4.5

Step-by-step explanation:

here's your solution

=> AB = BC. ( both arc are equal )

=> 3x + 2 = 5x - 7

=> 3x - 5x = - 7 - 2

=> - 2x = - 9

=> x = 9/2

=> x = 4.5

hope it helps

A town has a population of 17000 and grows at 4% every year. What will be the population after 5 years, to the nearest whole number

Answers

Answer:

20400

Step-by-step explanation:

Solve m+18+23=71

PLZZZZZ I NEED THE ANSER PLZZZ

Answers

Answer:

m + 18 + 23 = 71

m + 41 = 71

m = 71 - 41

m = 30

Answer:

30

Step-by-step explanation:

m+18+23=71

m+41=71

m=71-41

m=30

What type of association is shown in the scatterplot?
A) positive linear association
B) negative linear association
C) positive nonlinear association
D) no association

Answers

Answer:

D

Step-by-step explanation:

I am positive

Answer:

No association

Step-by-step explanation:

As the dots are randomly dotted across the graph, there is no association.

A piece of stone art is shaped like a sphere with a radius of 4 feet. What is the volume of this sphere? Let π≈3.14
π

3.14
. Round the answer to the nearest tenth.

Answers

Answer:

267.9 feet^3

Step-by-step explanation:

V = 4/3πr^3

4/3 * 3.14 * 4^3 = 267.946666

If you spin the spinner two times, how many possible outcomes are there?

Answers

Answer:

1 Answer. The chance of anding on A for one spin is 90+45360=38. So the probability of that happening twice in a row is 38×38=964.

Step-by-step explanation:

38x38=974 !!!!!!!!!!!!!!

Look at these numbers 11, 11 , 7 , 18 , 8 what is the correct way to put them in order so you can find the median

Answers

Answer:

7, 8, 11, 11, 18

Step-by-step explanation:

The order you put them in is from least to greatest:

7, 8, 11, 11, 18

There, you can find the median to be 11

Answer:

It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list. To find the mean, add up all the values in the set. Then divide the sum by how many values there are. That is the mean.

Step-by-step explanation:

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