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3 years ago

5

The scale factor from a small triangle ABC to a large triangle XYZ is 5. How many times larger will the perimeter of triangle XY

Z be than
the perimeter of triangle ABC?

1 answer:

Nina [5.8K]3 years ago

4 0

Answer:

c- 5 times

Step-by-step explanation:

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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 <u>by a factor of 2</u>:

$A_{2}$ = 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.

<u>By factor 3:</u>

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

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

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.

<u>By factor 5</u>:

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

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

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

SOMEONE PLEASE HELP ME

soldier1979 [14.2K]

<h2>The power of 5 is 9, which is an odd number. Therefore, it is not a square number or a perfect square.</h2>

8 0

3 years ago

A seven digit telephone number is of the form ABC-DEFG. In one particular state, the

yKpoI14uk [10]

Answer:

Choice B. 5,114,880 (There's a digit missing in the problem.)

Step-by-step explanation:

You must see the number of choices you have for each digit. Then you multiply all those numbers of choices together.

There are 7 digits in the phone number, so you will be multiplying 7 numbers together.

_ * _ * _ * _ * _ * _ * _

First digit: any digit except 8 and 9.

Since you exclude 2 digits from the 10 possible digits, there are 8 choices left.

8 * _ * _ * _ * _ * _ * _

Second and third digits: any digit from 1 and 8.

Any digit from 1 to 8 means: 1, 2, 3, 4, 5, 6, 7, 8. That means there are 8 choices.

8 * 8 * 8 * _ * _ * _ * _

Last four digits: no restrictions (for now), so there are 10 choices for each digit. We will deal with the restriction of 4 equal digits below.

8 * 8 * 8 * 10 * 10 * 10 * 10

The product of the 7 numbers above is:

8 * 8 * 8 * 10 * 10 * 10 * 10 = 5,120,000

The last 4 digits cannot all be thee same. There are 10 ways they can all be the same: 0000, 1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999.

Each of the combinations of the first 3 digits cannot have 10 combinations of equal digits.

The number of combinations of the first 3 digits is: 8 * 8 * 8 = 512.

Each of these 512 combinations cannot have 10 combinations of equal digits for the last 4 digits. 512 * 10 = 5120.

We must subtract 5120 from 5,120,000 to find the final answer.

5,120,000 - 5120 = 5,114,880

6 0

2 years ago

Read 2 more answers

Find the difference between 75.291 an 56,487. Use (only one) distributive, associative, commutative or identity property.

Mekhanik [1.2K]

21.678 is the Answer because you need to comedian the numbers together

5 0

3 years ago

2/3x - 7 = 1/4 What is x?

EleoNora [17]

Answer:

87/8

Step-by-step explanation:

2/3x-7=1/4

2x/3-7=1/4

2x/3=1/4+7

2x/3=29/4

2x= 29/4×3

2x=29×3/4

2x=87/4

x=87/4/2

x=87/4×2

x=87/8

4 0

3 years ago