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slamgirl [31]
3 years ago
15

Given V = 2πr2h, solve for h

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0
V=2*pi*r*2*h
V=(4*pi*r)*h
V/(4*pi*r)=h
so h=V/(4*pi*r)
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Please can someone help me with this question
sasho [114]

<em>Answer:</em>

<em>r = -</em>\frac{6a}{1-5m^2}<em />

<em>Step-by-step explanation:</em>

<em>Rewrite the equation as </em>\sqrt{x} 6a+r/5r<em>  = m</em>

<em>Remove the radical on the left side of the equation by squaring both sides of the equation.</em>

<em>(</em>\sqrt{\frac{6a+r}{5r} )^{2}<em> = m^2</em>

<em>Then, you simplify each of the equation. </em>

<em>Rewrite: (</em>\sqrt{\frac{6a+r}{5r} )^{2}<em> as </em>\frac{6a+r}{5r} = m^{2}<em />

<em>Remove any parentheses if needed.</em>

<em>Solve for r. </em>

<em>Multiply each term by r and simplify."</em>

<em>Multiply both sides of the equation by  5.</em>

<em>6a+r= m^2r⋅(5)</em>

<em>Remove parentheses.</em>

<em>Move 5   to the left of (m ^2)  r </em>

<em>6a+r=5m^2)r</em>

<em>Subtract  5m^2)r  from both sides of the equation.</em>

<em>6a+r-5m^2)r=0</em>

<em>Subtract  6a  from both sides of the equation.</em>

<em>r-5m^2)r=-6a</em>

<em>Factor  r out of  r-5m^2)r  </em>

<em>r(1-5m^2)=-6a</em>

Divide each term by 1-5m^2 and simplify.

r = - \frac{6a}{1-5m^2}

There you go, hope this helps!

4 0
3 years ago
Is this correct btw I put 1400​
Oxana [17]

Answer: Yes

Step-by-step explanation: The answer of 1400 is correct.

What I did is I found the area of the figure assuming it was a rectangle, then I subtracted the corners that were removed.

1800 - 150 - 100 - 150 = 1400

5 0
3 years ago
Read 2 more answers
Let the function f(x) have the form f(x) = Acos(x-C). To produce a graph that
Gala2k [10]

Answer:

A has to be 2

Step-by-step explanation:

In the expression f(x)=A*cos(x-C), the multiplicative factor A represents what is called the "amplitude of the wave-shaped function that you obtain as the graph. Such amplitude is understood as half of the crest-to-through distance of the wavy curve.

From the drawing, the crest is at y=2 and the through at y=-2 (a distance of 4 units) therefore the value of A should be half of that distance: 4/2 = 2

6 0
3 years ago
Read 2 more answers
A gym has three trainers, Aldo, Bertha, and Coco, who each have 1/3 of the new members. A person who trains with Aldo has a 60%
GarryVolchara [31]

Answer:

1/10

Step-by-step explanation:

P(a successful member

had Bertha as her trainer)  = P(Bertha being you trainer) x P(being successful if

                                                trained by Bertha)

                                             = 1/3 x 30/100

                                             = 30/300

                                             = 1/10

8 0
3 years ago
A moving truck is rented at $1,000 per day plus a charge per hour of use. The moving truck was used for 9 hours one day, and the
Advocard [28]
1000 is our constant because the truck was only used one day. We also know they charge a certain amount per hour, but we do not know how much. In this case they charged that amount 9 times because the truck was used for 9 hours. The total of the constant plus the 9hour fee is 2700 dollars:

1000(1) + 9x = 2700

The reason we multiply 1000 by 1, is because we only used the truck for one day.

Solve for x

9x = 2700 - 1000 = 1700

X = 1700/9 = 188.88

The hourly fee is $188.88
The question is asking for an equation for hours of use though, so the answer is

1000(1) + 9(188.88) = C

C represents cost or charge.
4 0
3 years ago
Read 2 more answers
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