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2 years ago

Find the length of the arc. A. 15π mi B. 5400π mi C. 135π mi D. 125π16 mi

Mathematics

1 answer:

weqwewe [10]2 years ago

7 0

Answer:

A. 15π mi

Step-by-step explanation:

First find the circumference

C = 2*pi*r

C = 2 * pi*18

C = 36pi

The arc is 150 degrees

The fraction of the circle is

150/360 = 5/12

Multiply this by the circumference

5/12 * 36 pi

15 pi

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<h3>Question:</h3>

find the slope (-8,10) (8,15)

<h3>Answer:</h3>

m = $\frac{5}{16}$

<h3>Step-by-step explanation:</h3>

Use the slope formula $\frac{y2-y1}{x2-x1}$

(x2,y1) = (-8,10) , (x2,y2) = (8,15)

m = $\frac{15-10}{8-(-8)}$

m = $\frac{5}{16}$

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3 years ago

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3 years ago

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Describe how to evaluate the expression 3^2 + (21 - 9) X 6÷2. Can someone help me out, please? I'm having trouble, and my teache

mylen [45]

Answer:

$3^2+\left(21-9\right)\times \:6\div \:2=45$

Step-by-step explanation:

Given the expression

$3^2\:+\:\left(21\:-\:9\right)\:\times \:6\div 2$

Follow the PEMDAS order of operations

$3^2\:+\:\left(21\:-\:9\right)\:\times \:6\div 2$

calculate within parentheses $\:(21-9)=12$

$=3^2+12\times \:6\div \:2$

calculate exponents $3^2=9$

$=9+12\times \:6\div \:2$

Multiply and divide (left to right)

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Add and subtract (left to right) $12\times \:\:6\div \:\:2=36$

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Thus,

$3^2+\left(21-9\right)\times \:6\div \:2=45$

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