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3 years ago

How to simplify to create an equation

Mathematics

1 answer:

spin [16.1K]3 years ago

7 0

You want to distribute and then combine the like terms, as per order of operations. Start by multiplying the 2 by -n and -3, so you get -2n-6. Then distribute the -7 to the 5 and 2n, so you get -35-14n. Combine your n’s and constants, and get -16n-41

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Solve the variable 3/9=p/24 A:1/8 B:1/3 C:3 D:8

skelet666 [1.2K]

The answer is D: 8
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4 years ago

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3 years ago

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3 years ago

For a circle with a radius of 6 feet, what is the measurement of the central angle (in degrees) that intercepts an arc

geniusboy [140]

Answer: The central angle measures 135 degrees

Step-by-step explanation: We have been given an arc with length 9pi/2 feet and a radius of 6 feet. The arc is shown in the attached diagram (please see attachment). The central angle subtended by this arc is at point O and has been labeled angle X.

So if the diagram shows arc AB with length 9pi/2 and radius AO with length 6, we can use the formula to compute “Length of an arc” to arrive at the missing angle.

Length of an arc = X/360 x 2pi x radius

Substituting for the known values, our formula can now be re-written as

9pi/2 = X/360 x 2pi x6

By cross multiplication we now have

9pi/2pi x 6 = 2X/360

We simplify as much as possible by dividing all like terms, hence pi divides pi on the left side of the equation. Also 2 divides 360 on the right side of the equation.We now arrive at,

9/12 = X/180

Simplify even further and we have

3/4 = X/180

By cross multiplication we now have

(3 x 180)/4 = X

540/4 = X

135 = X

Therefore the central angle that intercepts the arc measures 135 degrees.

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4 years ago