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andrew11 [14]
3 years ago
15

Helppppp pleaseeeeeee.

Mathematics
1 answer:
nadya68 [22]3 years ago
7 0

The area of the figure which consist the two semicircles and one rectangle with 4×8 ft dimensions is 44.6 ft².

<h3>What is the area of a rectangle?</h3>

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

A=a\times b

Here, (a)is the length of rectangle and (b) is the width of the rectangle

The given figure is in two parts. It is made with 2 semicircles and 1 rectangle. The length of the rectangle part is 8 ft and width of it is 4 ft long. Thus, the area of this part is,

A_r=8\times4\\A_r=32\rm\; ft^2

There are two semicircles, which make one complete circle. Thus, the area of this two semicircle with radius 2 ft, is,

A_c=\pi \times2^2\\A_c=12.57\rm\; ft^2

Thus, the area of this composite figure is,

A=A_r+A_c\\A=32+12.57\\A=44.57\rm\; ft^2\\A=44.6\rm\;ft^2

Thus, the area of the figure which consist the two semicircles and one rectangle with 4×8 ft dimensions is 44.6 ft².

Learn more about the area of rectangle here;

brainly.com/question/11202023

#SPJ1

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Use the Venn diagram to list the set of elements of A ∩ B in roster form.
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Answer:

A. {e, h}

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In the Venn diagram given, the set of elements contained in the region where the circles representing A and B overlap are {e, h}.

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A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh
monitta

Answer:

The portion of the volume of the cup that is filled with water is \frac{1}{8}

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=6\ cm

h=12\ cm

substitute

V=\frac{1}{3}\pi (6)^{2}(12)

V=144\pi\ cm^{3}

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

so

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}

therefore

The portion of the volume of the cup that is filled with water is

\frac{1}{8}

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