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sveta [45]
3 years ago
8

A trapezoid with an area of 166.75 in squared has a base that measures 21 in and 8 in. Find the height of the trapezoid.

Mathematics
2 answers:
Svetlanka [38]3 years ago
7 0

The formula to find the area of a trapezoid is

A=\frac{1}{2} h(a+b)

It has a base that measures 8 in = a

And the other side that is parallel to base is 21 in. = b

Let the height of the trapezoid = h

The trapezoid has an area of 166.75 in²

Substituting the values we get

\frac{1}{2}h(8+21)=166.75

14.5h = 166.75

Dividing by 14.5 on both sides we get

h = 11.5 in

The height of the trapezoid is 11.5 in.

Alex3 years ago
4 0
21+8=29/2=14.5
14.5x=166.75
11.5 is the height
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If aerts305 is 16 and his friend is 15 who’s older
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Step-by-step explanation:

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A rectangular pyramid measures three feet by four feet at the base, and has a height of seven feet. Find its volume. A. 21 ft3 B
sweet-ann [11.9K]

Answer:

C. 28 ft³

Step-by-step explanation:

The general formula for the volume of a pyramid:

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Since the base is a rectangle, we can find area using the formula:

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3 0
3 years ago
A kitchen sink has a volume of 1800 cubic inches.What is the volume of a similar sink that is larger by a scale factor of 2
bonufazy [111]

Answer:

14400 cubic inches.

Step-by-step explanation:

Let l, b and h are length, breadth and height of a cuboid respectively, then

V=l\times b\times h

If another cuboid is larger by a scale factor of k, then kl, kb and kh are length, breadth and height of new cuboid respectively.

V_1=kl\times kb\times kh

V_1=k^3(l\times b\times h)

V_1=k^3V       ...(i)

It is given that a kitchen sink has a volume of 1800 cubic inches and a similar sink is larger by a scale factor of 2.

Substitute k=2 and V=1800 in equation (i).

V_1=2^3(1800)

V_1=14400

Therefore, the volume of required sink is 14400 cubic inches.

7 0
3 years ago
Good afternoon, can you help me please
Alexus [3.1K]
It would just be 14-10 each week so 14-10 14-10 14-10 and so on
8 0
3 years ago
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