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levacccp [35]
3 years ago
13

HELP DUE IN 10 MINS!

Mathematics
1 answer:
Scilla [17]3 years ago
3 0

Answer:

\checkmark \text{B. The area of the circle is } 729\pi,\\\checkmark \text{D. The arc length of the sector is } 12\pi

Step-by-step explanation:

Area of a circle with radius r: r^2\pi

Circumference of a sector with radius r: 2r\pi

Area of sector with angle \theta:  r^2\pi\cdot \frac{\theta}{360}.

Arc length of sector with angle \theta: 2r\pi\cdot \frac{\theta}{360}

Using these equations, we get the following information:

Area of circle: 27^2\pi=729\pi

Circumference of a circle: 2\cdot 27\cdot \pi=54\pi

Area of sector: 27^2\pi\cdot \frac{80}{360}=162\pi

Arc length of sector: 2\cdot 27\cdot \pi \cdot \frac{80}{360}=12\pi

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Use the substitution method to find the solution to the system of linear equations.
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What is the initial value, and what does it represent?
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A. The initial value is 100; it represents money left over from last year's fundraiser

Step-by-step explanation:

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3 years ago
Read 2 more answers
1) Find x, if 1/3 of x is 14
BartSMP [9]

"of" means multiply      and         "is" means equal

1. \frac{1}{3}x = 14

                                x = 14(3)      <em>multiply both sides by 3 to isolate "x"</em>

                                x = 42

2. \frac{1}{5}x = 14

                                x = 14(5)      <em>multiply both sides by 5 to isolate "x"</em>

                                x = 70

3. \frac{2}{5}x = 14

                                2x = 14(5)      <em>multiply both sides by 5 </em>

                                2x = 70

                                  x = 35         <em>divide both sides by 2 to isolate "x"</em>

4. \frac{7}{8}x = 14

                                7x = 14(8)      <em>multiply both sides by 8 </em>

                                7x = 112

                                  x = 16         <em>divide both sides by 7 to isolate "x"</em>

Answers: 42, 70, 35, 16

5 0
3 years ago
Round to the nearest...
skelet666 [1.2K]

15. 0.3478 becomes 0.3

16. 0.7553 becomes 0.76

17. 3.968 becomes 4

18. 164.9 becomes 160

8 0
3 years ago
Simplify 7 (2x + 4) + 14.
bearhunter [10]

Answer: 14x + 42

7(2x+4)+14

14x + 28 + 14

<u>14x + 42</u>

Step-by-step explanation:

6 0
3 years ago
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