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MariettaO [177]
3 years ago
10

Solve s=πr^2+πrl for l

Mathematics
1 answer:
NemiM [27]3 years ago
5 0

Start with

S = \pi r^2 + \pi r l

Subtract \pi r^2 from both sides:

S - \pi r^2=\pi r l

Divide both sides by \pi r

\dfrac{S-\pi r^2}{\pi r}=l

And thus we solved the expression for l:

l=\dfrac{S-\pi r^2}{\pi r}

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The formula for the area of a trapezold with altitude k and bases m and n is A=k/2(m+n)
Ghella [55]

Answer:

m=\frac{2A-kn}{k}

Hence, option C is true.

Step-by-step explanation:

Given the expression

A=\frac{k}{2}\left(m+n\right)

Solving for 'm'

A=\frac{k}{2}\left(m+n\right)

Flip the equation

\frac{k}{2}\left(m+n\right)=A

Expanding by applying the distributive law: a\left(b+c\right)=ab+ac

\frac{1}{2}km+\frac{1}{2}kn=A

Add (-1)/2 × kn to both sides

\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A

simplify

\frac{1}{2}km=-\frac{1}{2}kn+A

Divide both sides by k/2

\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}

m=\frac{2A-kn}{k}

Therefore,

m=\frac{2A-kn}{k}

Hence, option C is true.

7 0
3 years ago
If a dice is rolled 18 times, how many times is the number 2 expected to come up? *
mart [117]

Answer:

the answer is B. 3 times

that's what I think

8 0
3 years ago
the area of a circle is 81 pi m^2. what is the circumference, in meters? express your answer in terms of pi.
mestny [16]
<h3>Answer:    18pi</h3>

============================================================

Explanation:

The area 81pi square meters leads to the radius 9 meters

Use the formula A = pi*r^2 to see why this is the case. You plug in A = 81pi and solve for r to get r = 9.

-----------------

Once you know the radius, you can determine the circumference C

C = 2*pi*r

C = 2*pi*9

C = 2*9*pi

C = 18pi

The circumference is the perimeter, or distance, around the circle.

8 0
3 years ago
Trying to understand this question
Varvara68 [4.7K]

Answer:

option 2 I think sorry if its incorrect

5 0
3 years ago
Will give brainliest!!!!!!!!!!!!!!!
Sati [7]
Perpendicular: slope is -3/2

Based on this I would already know the answer is A.
3 0
3 years ago
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