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Digiron [165]
3 years ago
12

A circle with a radius of 3cm sits inside a 8cm*7cm rectangle. What is the area of the shaded region? Round your final answer to

the nearest hundredth.

Mathematics
2 answers:
Elanso [62]3 years ago
7 0

Answer:

27.73 cm squared

Step-by-step explanation:

In order to find the shaded region, we need to find the areas of the circle and the rectangle and then subtract the circle area from the rectangle area.

The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. Here, the length is l = 7 and the width is w = 8. Plug these in:

A = lw

A = 7 * 8 = 56 cm squared

The area of a circle is denoted by: A = πr², where r is the radius. Here, the radius is r = 3, so plug this in:

A = πr²

A = π * 3² = 9π ≈ 28.27 cm squared

Now subtract 28.27 from 56:

56 - 28.27 = 27.73

The answer is thus 27.73 cm squared.

timurjin [86]3 years ago
5 0

Answer:

27.73 cm squared

Step-by-step explanation:

The area of a circle is denoted by: A = πr², where r is the radius. Here, the radius is r = 3, so plug this in:

A = πr²

A = π * 3² = 9π ≈ 28.27 cm squared

Now subtract 28.27 from 56:

56 - 28.27 = 27.73

The answer is thus 27.73 cm squared.

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Ber [7]

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45^2 + 80^2 = c^2

2025 + 6400 = c^2

c^2 = 8425

c = √8425

c = 91.787

Rounded to the nearest foot = 92 feet

4 0
3 years ago
Find the slope <br> (-19,-6) (15,16)
Alex Ar [27]

Answer:

11/17

Step-by-step explanation:

slope between two points: slope = (y2 - y1) / (x2 - x1)

(x1, y1) = (-19, -6), (x2, y2) = (15, 16)

m = (16 - ( - 6)) / (15 - ( - 19))

refine

m = 11/17

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3 years ago
Three angles are in the ratio 2 : 3 : 5 The smallest angle is 50 degrees Work out the sizes of the other two angles
Oxana [17]
Since the smallest angle is 50 degrees, then divide 50 by 2 (because of the ratio) and you get 25. Now you can multiply 25 by 3 and 25 by 5 to get the remaining angles which would be 75 degrees and 125 degrees.
5 0
3 years ago
HELPPP!!! And explain please.
V125BC [204]

Answer:

After correcting error of Mia and solving the expression0.38 \times 3 \div(-1/20)\times5\div(-8) we get 14.25

Step-by-step explanation:

The given expression is:0.38 \times 3 \div(-1/20)\times5\div(-8)

First I solve the expression, and then will point the error

0.38 \times 3 \div(-1/20)\times5\div(-8)\\Converting \ \div \ sign \ into \ \times  the \  term \ is \ inverted\\=0.38 \times 3 \times(-20)\times5\times(-1/8)\\=0.38\times 3 \times-20\times5\times-1/8\\=1.14 \times-20\times5\times-1/8\\=-22.8\times5\times-1/8\\=-114\times-1/8\\=\frac{-114}{-8}\\=14.25

So, the mistake Mia did was when she inverted division sign into multiplication, she didn't invert the term next to division sign.

The step she did was: 0.38 \times 5 \times(1/20)\times3\times(-8)

While the correct step was: 0.38 \times 3 \times(-20)\times5\times(-1/8)

After correcting error of Mia and solving the expression0.38 \times 3 \div(-1/20)\times5\div(-8) we get 14.25

3 0
2 years ago
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gogolik [260]

Answer:

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4 0
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