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podryga [215]
3 years ago
9

Given the height,h, and the volume v of a certain cylinder. Alex uses the formula

Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

A = 2/5

Step-by-step explanation:

r = sqrt(v) / (pi*h)

10 = sqrt(v) /(pi * h)

Solve for the volume by multiplying by pi * h on each side

10 * pi * h = sqrt(v)

Now square each side

(10*pi* h) ^2 = v


Now we have a second cylinder with a height that is 25 times the height of the other cylinder  but the same volume.  Solving for volume, we will multiply by

r = sqrt(v) / (pi*h)

r = sqrt(v) /(pi *25h)

r* pi * 25h = sqrt(v)

Now square each side

(r*pi*25h) ^2 = (sqrtv) ^2

(r*pi*25h)^2 = v

The problem states the the 2 cylinders have the same volume

(10 * pi * h) ^2 =  ( r * pi * 25h) ^2

Take the square root of each side

10*pi*h = r*pi * 25h

Divide each side by pi and h

10 = 25r

Divide by 25

10/25 =r

2/5 =r

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HI! I HAVE A TEST ON MONDAY AND IM TRYING TO STUDY, IM KINDA STUCK ON HOW TO DO THIS PROBLEM..
sergij07 [2.7K]

Answer: See below

Step-by-step explanation:

number of yellow pieces/number of blue pieces

= 14/24

= 7/12 --> 7 to 12 --> 7:12

The ratio that represents the number of yellow pieces to the total number of pieces is part-to-whole

number of yellow pieces/total number of pieces

= 14/100

= 7/50 --> 7 to 50 --> 7:50

The ratio that represents the number of blue pieces to the total number of pieces is part-to-whole

= 24/100

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8 0
2 years ago
Maria practiced for her piano recital each day for three days. the first day she practiced for 3/4 hour, the second day she prac
ZanzabumX [31]
To make this easier, we can convert the fractions into decimals. 3/4 is 0.75. 1 and 1/2 would be 1.50 and 2 and 1/4 would be 2.25. Now, let us to the subtraction in order for us to know the difference of each. So 1.50 minus 0.75 would be 0.75. And 2.25 minus 1.50 is also 0.75. 0.75 is 3/4 and this means that she increased 3/4 hour each day.
6 0
3 years ago
As part of his retirement strategy, John plans to invest $210,000 in two different funds. He projects that the moderately high r
Maslowich

Answer:

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

Step-by-step explanation:

Given John plans to invest $210,000 in two different funds. He projects that the moderately high risk investments should return, overtime 9% per year,while low risk investments should return about 4% per year.

He wants a supplemental income of$11,400 a year.

Let , he invested $x at 9% per year and $(210,000-x) at 4% per year.

interest=\frac{prt}{100}   p = principle , r = rate of interest and t = time

The interest earns at 9% per year= \frac{x\times 9\times 1}{100}

The interest earns at 4% per year=\frac{(210,00-x)\times 4 \times 1}{100}

According to the problem,

\frac{x\times 9\times 1}{100}+\frac{(210,00-x)\times 4 \times 1}{100}= 11400

\Leftrightarrow 9x+840000-4x=11400 \times 100

\Leftrightarrow 5x=1140000-840000

\Leftrightarrow x=\frac{300000}{5}

\Leftrightarrow x=60,000

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

7 0
2 years ago
17. Solve -46x + 3) = -12(x + 10).<br>O A. X = 2<br>O B. x = -5<br>O C. x = 5<br>O D. X = 9​
SCORPION-xisa [38]

Answer:

In this equation, the value of x is 9.

Step-by-step explanation:

-4(6x + 3) = -12(x + 10)

Distribute -4 to (6x + 3) and distribute -12 to (x + 10).

-24x - 12 = -12x - 120

Add 12x on both sides of the equation.

-12x - 12 = -120

Add 12 on both sides of the equation.

-12x = -108

Divide -12 on both sides of the equation.

x = 9

The value of x in this equation is 9.

3 0
3 years ago
Read 2 more answers
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