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atroni [7]
3 years ago
9

Can someone help pls!!

Mathematics
2 answers:
makkiz [27]3 years ago
7 0

Answer:

C

Step-by-step explanation:

1) find the area of the square

A = side^2 = 14^2 = 196 cm^2

2) find the radius of the two semicircles

radius = side / 2 = 14 : 2 = 7 cm

3) find the areas of the two semicircles

A = radius^2 x 3,14 x 2 = 7^2 x 3,14 = 153.86 cm^2

4) find the area of the shaded region

196 - 153.86 = 42.14 cm^2

kari74 [83]3 years ago
5 0

Answer:

C) 42.14 cm²

Step-by-step explanation:

<u>Recall the area formulas for a square and circle:</u>

Area of square: A=s²

Area of circle: A=πr²

<u>Given:</u>

π=3.14

s=14

r=s/2=14/2=7

Therefore, the area of the square is A=14²=196 cm²

The area of the two semicircles is A=3.14(7)²=3.14(49)=153.86 cm²

Find the difference between the two areas to get the shaded area:

196 - 153.86 = 42.14

Therefore, the shaded area is 42.14 cm², making C the correct choice.

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Darius is a graphic designer he makes a sign for a company that has a width of 2 feet and a length of 2 feet 6 inches the compan
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Answer:

\frac{1}{3}

Step-by-step explanation:

Width of the sign made by Darius initially = 2 feet

Length of the sign = 2 feet 6 inches

Dimension of the flyer are 10 inches by 8 inches. Since, in original sign the measure of length is greater, therefore, the length of flyer is 10 inches and its width is 8 inches.

In order to find the scale factor we must convert the lengths and widths to same units. Lets convert the length and width of sign into inches.

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Now we can find the scale factor by either comparing the lengths or widths of both the designs. Scale factor will be equal to the ratio of corresponding lengths/widths.

So, the scale factor would be:

Length of Flyer : Length of Sign

= 10 inches : 30 inches

= 1 : 3

= \frac{1}{3}

This shows, the length of flyer is \frac{1}{3} times as that of the sign. So, the scale factor that Darius must use is \frac{1}{3}. The length and width of the flyer are \frac{1}{3} as that of the sign.

The same scale factor would result if we would have used the ratio of widths instead of the lengths.

Scale Factor = Width of Flyer : Width of sign

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Therefore, Darius must type the scale factor of \frac{1}{3} in his computer to get the size of the flyer.

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