The speedometer needle in a car is 2.5 inches long. When accelerating from 0 to 60 miles per hour the needle
sweeps out an arc of 130°. What is the arc length traveled by the needle? Round your answer to the nearest
hundredth.

The arc length traveled by the needle is 7.0904

Step-by-step explanation:

Step 1

In the above question  are given that

The speedometer needle in a car is 2.5 inches long

The needle  sweeps out an arc of 130°.

Let r be the length of the speedometer needle,So

r=2.5

m∠C=130°

Step 2

The formula for determining the area of the sector is

A=*

Where,the central angle is m°

and The radius is r

Substituting the value of m and  r from the step 1  in the below equation we get

A=*

A= 0.3611**6.5=7.0904

Hence the value of the Area of the sector is = 7.0904

Step 3

So, the arc length traveled by the needle 7.0904

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)