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3 years ago

What is the degree measure of an arc 4 pi feet long in a circle radius of a 10 foot radius

1 answer:

5 0

Circumference = 2 pi r = 20 pi
corresponding to 360 degrees

so an arc of 4pi feet will have a degree measure of 5pi / 20pi * 360 = 1/4 * 360 = 90 degrees

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coldgirl [10]

The equation of the line in slope intercept form is y = 2x - 2.

<h3>How to find the equation of a line?</h3>

The equation of a line can be represented in different form such as slope intercept form, point slope form, standard form and general form.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

m = slope
b = y-intercept

Therefore, the slope of the line can be found as follows:

using (0, - 2)(2, 2)

m = 2 + 2 / 2 - 0

m = 4 / 2

m = 2

Therefore, the y-intercept can be solved as follows:

using (0, -2)

y = 2x + b

-2 = 2(0) + b

b = -2

Therefore, the equation is y = 2x - 2

learn more on equation of a line here: brainly.com/question/14200719

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8 0

2 years ago

Choose the correct description of the graph of the compound inequality x − 3 < −11 or x + 5 greater than or equal to 14.

adoni [48]

X - 3 < -11
x < -11 + 3
x < - 8

x + 5 > = 14
x > = 14 - 5
x > = 9

open circle on -8, shading to the left.....closed circle on 9, shading to the right

7 0

3 years ago

A population of rabbits oscillates 19 above and below average during the year, hitting the lowest value in january. the average

Helen [10]

Answer:

$p(t)=650+\frac{160}{12}t+19sin(\omega t)$

Step-by-step explanation:

The initial value of the population is 650

Each year the population increases 160

The population oscillates 19 above and below.

Due to this information you can assume that the function is:

$p(t)=650+\frac{160}{12}t+19sin(\omega t)$

where for t=0 p(t)=650

where t=12 160/12 (12) = 160

you can assume that the sinusoidal function has a period of one month. Thus, the population oscillates several times in one year with an amplitu of the oscillation of 19. The, w is:

$\omega (1)=2\pi\\\\\omega=2\pi$

4 0

3 years ago

Hiiiiii peoples<br><br> Solve the inequality 6x^2-x<2 please show all steps

Orlov [11]

Answer:(3x−2)⋅(2x+1)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

STEP

Equation at the end of step 1

((2•3x2) - x) - 2

STEP

Trying to factor by splitting the middle term

2.1 Factoring 6x2-x-2

The first term is, 6x2 its coefficient is 6 .

The middle term is, -x its coefficient is -1 .

The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 6 • -2 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -1 .

-12 + 1 = -11

-6 + 2 = -4

-4 + 3 = -1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 3

6x2 - 4x + 3x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (3x-2)

Add up the last 2 terms, pulling out common factors :

1 • (3x-2)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (3x-2)

Which is the desired factorization

Final result :

(3x - 2) • (2x + 1)

4 0

4 years ago

Kevin plans to put concrete on a rectangular portion of his driveway. The portion is 10 feet long and 3 inches high. The price o

olganol [36]

The answer is 6 feet

3 0

4 years ago