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mihalych1998 [28]
2 years ago
8

Calculate the area of the quarter circle estimate using 3.14 for pi

Mathematics
1 answer:
mars1129 [50]2 years ago
6 0

The area of the quarter circle with radius 3ft is 7.065 ft^2

Area of a quarter circle is given by the formula:

Area = \frac{\pi r^2}{4}

Where r represents the radius of the circle

In the quarter circle shown, the radius, r = 3 feet

π  =  3.14

Substitute π = 3.14 and r = 3 into the formula Area = \frac{\pi r^2}{4}

Area = \frac{3.14 \times 3^2}{4}\\\\Area =   \frac{3.14 \times 9}{4}\\\\Area =  \frac{28.26}{4}\\\\Area = 7.065 ft^2

The area of the quarter circle with radius 3ft is 7.065 ft^2

Learn more here: brainly.com/question/25843249

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Classify the pair of angles. Then find the value of x.
sleet_krkn [62]

Answer:

3) x = 50, vertical angles.

4) x = 20, supplementary angles

5) x = 14, complimentary angles

Step-by-step explanation:

<h3>3)</h3>

<em>vertical angles.</em>

<em>vertical angles are equal.</em>

<em>so, you can make this equation:</em>

67 = x + 17

<em>subtract 17 from both sides of the equation</em>

67 - 17 = x + 17 - 17

67 - 17 = x

50 = x

<h3>4)</h3>

<em>supplementary angles</em>

<em>supplementary angles add up to 180</em>

<em>so, you can make this equation:</em>

7x + 40 = 180

<em>subtract 40 from both sides of the equation</em>

7x + 40 - 40 = 180 - 40

7x = 180 - 40

7x = 140

<em>divide both sides by 7</em>

7x/7 = 140/7

x = 140/7

x = 20

<h3>5)</h3>

<em>complimentary angles</em>

<em>complimentary angles add up to 90</em>

<em>so, you can make this equation:</em>

4x + 34 = 90

<em>subtract 34 from both sides of the equation</em>

4x + 34 - 34 = 90 - 34

4x = 90 - 34

4x = 56

<em>divide both sides by 4</em>

4x/4 = 56/4

x = 56/4

x = 14

8 0
2 years ago
Can you help me answer this
Ipatiy [6.2K]
2149 seats.  Since 2149 rounds down to 2100 at the nearest hundred, this is the greatest amount of seats possible in the stadium.  If there were 2150 seats, it would round to 2200 seats, so 2149 seats is the correct answer.

Hope this helps!
5 0
3 years ago
Factor 64x2 – 80xy + 25y2 using the binomial theorem.
Archy [21]

Answer:

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Step-by-step explanation:

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2 years ago
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What is the equation of the line that passes through the point (-4,8) and has a slope of -1/4
iragen [17]

Answer:

Step-by-step explanation:

When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.

It is given by:

                      $ (y - y_1) = m (x - x_1) $

where $m$ is the slope of the line and

           $ (x_1, y_1) $ is the point passing through it.

Here, $ m = \frac{-1}{4} $ and $ (x_1,y_1) = (-4,8) $

Substituting in the equation:

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$ \implies 4y - 32 = -x - 4 $

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3 0
2 years ago
 If a 10-pound sack of potatoes costs $6.55, how much would 1 pound cost? Round your answer to the nearest cent. 
Black_prince [1.1K]
\begin{array}{ccc}10\ lb&-&\$6.55\\\\1\ lb&-&\$ x\end{array}\ \ \ |cross\ multiply\\\\\\\\10\cdot x=1\cdot6.55\\\\10x=6.55\ \ \ \ |divide\ both\ sides\ by\ 10\\\\x=\frac{6.55}{10}\\\\x=0.65\underline{5}\approx\boxed{\$0.66}\\

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).

3 0
3 years ago
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