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3 years ago

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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Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are

Galina-37 [17]

Answer:

$B' = (-3,6)$

Step-by-step explanation:

Given

$A(4,5)$

$B(0,5)$

$C(3,-1)$

Translation: 3 units left and 1 unit right

Required

Determine the new coordinates of B

Write out the coordinates of B

$x = 0$

$y = 5$

When a function is shifted to the left, we have to subtract the unit from the x value of the function;

Shifting by 3 units left, the new x becomes

$New\ x = 0 - 3$

$New\ x = -3$

When a function is shifted upward, we have to add the unit to the y value of the function;

Shifting by 1 unit up, the new y becomes

$New\ y = 5 + 1$

$New\ y = 6$

Hence, the new coordinates of B is

$B' = (-3,6)$

5 0

3 years ago

Let u = <-4, 1>, v = <-1, 6>. Find -2u + 4v

Maksim231197 [3]

Answer:

<4,22>.

Step-by-step explanation:

This question involves the concepts of addition and scalar multiplication of vectors. It is given that the vector u = <-4, 1> and v = <-1, 6>. To find -2u, simply multiply -2 with the elements of u. This will give:

-2u = <-4*-2, 1*-2> = <8, -2>.

Similarly:

4v = <-1*4, 6*4> = <-4, 24>.

Hence,

-2u + 4v = <8, -2> + <-4, 24> = <8-4, -2+24> = <4,22>.

So the correct answer is <4,22>!!!

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3 years ago

Last night at 8pm in Chicago, the temperature was 3 degrees Celsius. By 5am, it had dropped 5 degrees. What was the temperature

sattari [20]

Answer:

-2degrees

Step-by-step explanation:

(3 degrees Celsius - 5 degrees Celsius)= -2 degrees Celsius

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1 year ago

A. Which number is greater? 1/4 or 5/4 -3/4 or 5/8

Lilit [14]

Answer:

a. Which number is greater? 1/4 or 5/4 -3/4 or 5/8:

answer: 5/4

b. Which number is farther from 0? 1/4 or 5/4 -3/4 or 5/8:

answer: 5/4

c. Is the number that is farther from 0 always the greater number?:

answer: nah really.

A number can be further from zero but when it's a negative or positive. But negative value is less than zero.

${}^{ - } \infin \leqslant 0 \leqslant {}^{ + } \infin$

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2 years ago

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IgorLugansk [536]

Answer:

389

Step-by-step explanation:

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