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3 years ago

Use signed numbers to solve.

Mathematics

1 answer:

iogann1982 [59]3 years ago

4 0

You math question answer is going to be d.

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A cylinder has radius r and height h. A. How many times greater is the surface area of a cylinder when both dimensions are multi

Ierofanga [76]

Answer: A. Factor 2 => 4x greater

Factor 3 => 9x greater

Factor 5 => 25x greater

Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:

A = 2.π.r.h

A cylinder of radius r and height h has area:

$A_{1}$ = 2πrh

If multiply both dimensions by a factor of 2:

$A_{2}$ = 2.π.2r.2h

$A_{2}$ = 8πrh

Comparing $A_{1}$ to $A_{2}$ :

$\frac{A_{2}}{A_{1}}$ = $\frac{8.\pi.rh}{2.\pi.rh}$ = 4

Doubling radius and height creates a surface area of a cylinder 4 times greater.

By factor 3:

$A_{3} = 2.\pi.3r.3h$

$A_{3} = 18.\pi.r.h$

Comparing areas:

$\frac{A_{3}}{A_{1}}$ = $\frac{18.\pi.r.h}{2.\pi.r.h}$ = 9

Multiplying by 3, gives an area 9 times bigger.

By factor 5:

$A_{5} = 2.\pi.5r.5h$

$A_{5} = 50.\pi.r.h$

Comparing:

$\frac{A_{5}}{A_{1}}$ = $\frac{50.\pi.r.h}{2.\pi.r.h}$ = 25

The new area is 25 times greater.

B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.

3 0

3 years ago

3 times a number is 42 what is the number?

oksano4ka [1.4K]

the number would be 14.

in order for you to figure this out you divide.

42/3=14 and

14 * 3 = 42

hope this helps.

4 0

3 years ago

Read 2 more answers

A corporation has $125,00 in a bank account on march 1. On april 1, the amount of money in the account decreased by 8%. On may 1

seraphim [82]

Answer:

115,00 thats 8% decrease

7 0

3 years ago

Solve the following equation algebraically 4x^2 = 100

Licemer1 [7]

Answer:

x = ±5

Step-by-step explanation:

4x^2 = 100

Divide each side by 4

4/4x^2 = 100/4

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

7 0

3 years ago

Jorge received a 3.1% increase in his pay at work. If he now makes $8.00 per hour, how much was he making before his raise? (Rou

Blababa [14]

Answer:

$7.76

Step-by-step explanation:

Let x be the amount he was making before the raise.

He had an increase of 3.1% of x added to x which resulted in a new salary of $8.00 per hour.

Mathematically:

$(\frac{3.1}{100} * x) + x = 8\\\\0.031x + x = 8\\\\1.031x = 8\\\\=> x = 8 / 1.031$

x = $7.76

He was making $7.76 before the raise.

4 0

3 years ago