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vesna_86 [32]
2 years ago
5

a window is shaped like a semicircle the base of the window has a diameter of 3 1/2 feet find the area of the window to the near

est tenth of a foot use 3.14 for pi
Mathematics
2 answers:
Fed [463]2 years ago
6 0
B=55/3*1/31=55/93=.591ft
Dmitry_Shevchenko [17]2 years ago
6 0
I’m going to change to decimals just because it’s easier for me but I’ll change it back.

The formula for area of a circle is pi times radius squared.

Pi is 3.14
Radius is 1.25 (3.5 divided by 2)
And square the radius which is 1.25 times 1.25 which is 6.25

Next multiply 6.25 by 3.14

The area of a full circle would be 19.625, however the window is a semicircle. So divide 19.625 by 2 which is 9.8125 and add a feet squared afterwards.

To convert back to fractions, round the decimal to the nearest hundredth, 9.81 and put it over 100

(9 81/100 ft squared is your full answer)
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2 years ago
The cake store is having a 25\%25%25, percent off sale on all of its cakes.
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7 0
2 years ago
1. Trapezoid BEAR has a height of 8.5 centimeters and parallel bases that measure 6.5 centimeters and 11.5 centimeters. To the n
e-lub [12.9K]
<h3>Given</h3>

1) Trapezoid BEAR with bases 11.5 and 6.5 and height 8.5, all in cm.

2) Regular pentagon PENTA with side lengths 9 m

<h3>Find</h3>

The area of each figure, rounded to the nearest integer

<h3>Solution</h3>

1) The area of a trapezoid is given by

... A = (1/2)(b1 +b2)h

... A = (1/2)(11.5 +6.5)·(8.5) = 76.5 ≈ 77

The area of BEAR is about 77 cm².

2) The conventional formula for the area of a regular polygon makes use of its perimeter and the length of the apothem. For an n-sided polygon with side length s, the perimeter is p = n·s. The length of the apothem is found using trigonometry to be a = (s/2)/tan(180°/n). Then the area is ...

... A = (1/2)ap

... A = (1/2)(s/(2tan(180°/n)))(ns)

... A = (n/4)s²/tan(180°/n)

We have a polygon with s=9 and n=5, so its area is

... A = (5/4)·9²/tan(36°) ≈ 139.36

The area of PENTA is about 139 m².

6 0
2 years ago
Your model locomotive is 16 inches long. It is an exact model of a locomotive that is 40 feet long. A window on the locomotive i
Rasek [7]
The locomotive is 40 ft long.
40 ft = 40 * 12 in. = 480 in.
The locomotive is 480 inches line.
The model is 16 inches long.
480/16 = 30
The real locomotive is 30 times longer than the model.
A window on the locomotive is 30 times wider than a window on the model.
6 0
2 years ago
Read 2 more answers
What is 4% of 50,000
tamaranim1 [39]
4% of 50000
(4/100) * 50000
2000
7 0
2 years ago
Read 2 more answers
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