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3 years ago

What is the distributive property of the equation 5b plus 7b plus 10

Mathematics

1 answer:

gtnhenbr [62]3 years ago

7 0

12b+10 is the answer

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What is 378 times by 9

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The answer for 378 x 9 = 3402

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3 years ago

write a formula that describes the value of an initial investment of $100 that loses value at a rate of 8% per year compounded c

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Answer:

$A = 100(.92)^{t}$

Step-by-step explanation:

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3 years ago

Given f (x) = 6 (1- x), what is the value of f (-5)?

natta225 [31]

Answer: 36

Step-by-step explanation:

1) substitute x for 6

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3 years ago

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Find the length of the arc and express your answer as a fraction times pie

Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

Hence, the length of the arc, s, is 3π units.

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1 year ago

What is the answer to this problem 90-40.74

Rashid [163]

49.26 because 90-40.74=49.26

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3 years ago

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