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3 years ago

Given Circle B where r = 2, determine the circumference.

Mathematics

1 answer:

kvv77 [185]3 years ago

5 0

Answer:

12.56

Step-by-step explanation:

Double the radius to get the diameter, 2 * 2 = 4

Multiply diameter x pi, 4 * 3.14 = 12.56

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6. Solve the problem.

Assoli18 [71]

Answer: 32

Step-by-step explanation:

we have in this case right triangle with a leg equal to 24 and a hypotenuse equal to 40

c^2=a^2+b^2

40^2=24^2+b^2

b^2=1600-576=1024

b=sqrt1024=32

4 0

4 years ago

Find the average rate of change of f ( x ) = 3 x 2 − 9 on the interval [ 2 , b ] . Your answer will be an expression involving b

iVinArrow [24]

Answer:

$m = 3b+6$

Step-by-step explanation:

Given

$f(x)=3x^2 - 9$

Required

The average rate over $[2,b]$

Average rate (m) is calculated using:

$m = \frac{f(b) - f(a)}{b - a}$

Where

$[a,b] = [2,b]$

So, we have:

$m = \frac{f(b) - f(2)}{b - 2}$

Calculate f(b) and f(2)

$f(x)=3x^2 - 9$

$f(b)=3b^2 - 9$

$f(2)=3*2^2 - 9 = 12 - 9 = 3$

So, we have:

$m = \frac{f(b) - f(2)}{b - 2}$

$m = \frac{3b^2 - 9 - 3}{b - 2}$

$m = \frac{3b^2 - 12}{b - 2}$

Expand the numerator

$m = \frac{3b^2 + 6b-6b-12}{b - 2}$

Factorize

$m = \frac{b(3b + 6)-2(3b+6)}{b - 2}$

Factor out 3b + 6

$m = \frac{(b -2)(3b+6)}{b - 2}$

Cancel out b - 2

$m = 3b+6$

4 0

3 years ago

What is the value of the expression when y= 22?<br> Needa answer asap

Nikitich [7]

Answer:

y=22/1

Step-by-step explanation:

8 0

3 years ago

Add 80 percent of 300 plus 3/4 of 28 plus .9 of 180 <br><br><br> help .

Bogdan [553]

Answer:

423

Step-by-step explanation:

240+21+162

6 0

3 years ago

Read 2 more answers

Solving systems of equations by substitution

SashulF [63]

Equation 1) 2x - 3y = -1
Equation 2) y = x -1

Rearrange equation 2 so that x and y are on the same side. To do so, you subtract x from both sides.

2) -x + y = -1
1) 2x - 3y = -1

Multiply ALL of equation 2 by 2.

2) 2(-x + y = -1)

Simplify.

2) -2x + 2y = -1
1) 2x - 3y = -1

Add equations together.

-y = 0

So, y = 0

Plug in 0 for y in the first equation.

2x - 3y = -1

2x - 3(0) = -1

Simplify.

2x - 0 = -1

2x = -1

Divide both sides by 2.

x = -1/2

(-1/2 , 0)

~Hope I helped!~

5 0

3 years ago