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nevsk [136]
1 year ago
9

HELP ME PLEASE!!!!!!! 50 POINTS!!

Mathematics
1 answer:
garri49 [273]1 year ago
7 0

The scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.

<h3>What is the scale factor from rectangle Q to rectangle R?</h3>

In geometry, the scale factor is a ratio of the resulting length to the initial length. Since the area of the square is equal to the square of its side length, then the scale factor is equal to:

k² = A' / A

k = √(A' / A)

Where:

  • k - Scale factor
  • A' - Area of the rectangle R.
  • A - Area of the rectangle Q.

If we know that A = 2 and A' = 72, then the scale factor is:

k = √(72 / 2)

k = √36

k = 6

Then, the scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.

To learn more on scale factors: brainly.com/question/22312172

#SPJ1

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50 PTS ANSWER ALL &lt;3333333
11Alexandr11 [23.1K]

QUESTION 33

The length of the legs of the right triangle are given as,

6 centimeters and 8 centimeters.

The length of the hypotenuse can be found using the Pythagoras Theorem.

{h}^{2}  =  {6}^{2}  +  {8}^{2}

{h}^{2}  = 36+ 64

{h}^{2}  = 100

h =  \sqrt{100}

h = 10cm

Answer: C

QUESTION 34

The triangle has a hypotenuse of length, 55 inches and a leg of 33 inches.

The length of the other leg can be found using the Pythagoras Theorem,

{l}^{2}  +  {33}^{2}  =  {55}^{2}

{l}^{2}  =  {55}^{2}  -  {33}^{2}

{l}^{2}  = 1936

l =  \sqrt{1936}

l = 44cm

Answer:B

QUESTION 35.

We want to find the distance between,

(2,-1) and (-1,3).

Recall the distance formula,

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the values to get,

d=\sqrt{( - 1-2)^2+(3- - 1)^2}

d=\sqrt{( - 3)^2+(4)^2}

d=\sqrt{9+16}

d=\sqrt{25}

d = 5

Answer: 5 units.

QUESTION 36

We want to find the distance between,

(2,2) and (-3,-3).

We use the distance formula again,

d=\sqrt{( - 3-2)^2+( - 3- 2)^2}

d=\sqrt{( - 5)^2+( - 5)^2}

d=\sqrt{25+25}

d=\sqrt{50}

d=5\sqrt{2}

Answer: D

8 0
2 years ago
Read 2 more answers
A construction crew has just finished building a road. The crew worked for 4 2/7 days. If the road is 9 kilometers long, how man
Lana71 [14]
4 2/7 equals 30/7
30/7 divided by 9 equals 10/21
So the crew built 10/21 of a km everyday
4 0
3 years ago
Read 2 more answers
10 x 1/2+(-6)(-3) simplified in steps
miv72 [106K]

Answer:

23

Step-by-step explanation:

Remember PEMDAS/order of operations (Parentheses, exponent, multiplication, division, addition, subtraction)

10*1/2+(-6)(-3)

10*1/2+18

5+18

23

5 0
3 years ago
A man is 13 times as old as his son is. In 10 years he will be 3 times as old as his son is now. How old are they now?
valkas [14]

Answer:

the son is 2

man is 26

+10 yrs

son=12

man=36

Step-by-step explanation:

Let the son's age be x.

Then the father's age is 13x.

In ten years their ages will be (x+10) and (13x+10).

(13x+10)=3(x+10)

13x+10=3x+30

10x=20

x=2

The son is 2 years old.

3 0
2 years ago
Estimate 34,182-18,717 by first rounding each number to the nearest thousand.
tresset_1 [31]

Answer:

15,000

Step-by-step explanation:

First, round both the numbers:

34,182 rounds down to 34,000

18,717 rounds up to 19,000

Subtract you're two rounded numbers

34,000 - 19,000 = 15,000

6 0
3 years ago
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