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lana66690 [7]
3 years ago
15

PLEASE HELP!!!

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

Answer:

Area of the other polygon = 4 in.²

Step-by-step explanation:

Area of the bigger polygon : Area of the smaller polygon = square of the side length of the bigger polygon : square of the corresponding side length of the smaller polygon

Let "x" represent the area of the smaller polygon

Thus, we have:

100/x = 20²/4²

100/x = 400/16

100/x = 25

Cross multiply

25x = 100

Divide both sides by 25

25x/25 = 100/25

x = 4

Area of the other polygon = 4 in.²

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What is the volume of this shape?
jenyasd209 [6]
Answer:
600 ft cubed
Step-by-step explanation:
Triangle volume formula V = 1/2(l*w*h)
1/2(4*12*9) = 216 ft cubed

Formula for rectangular prism V = (l*w*h)
(4*16*6) = 384 ft cubed

Adding the values: 600 ft
6 0
2 years ago
What is the place value of the 4 in 4.09?
MaRussiya [10]

Answer:

B: Ones.

Step-by-step explanation:

Because this number is 4.09, and the decimal is right next to the 4, that means that it is in the ones place. Decimals are always adjacent on the right to the ones place.

5 0
3 years ago
A company has two packaging machines in a unit, each with a different daily capacity. The capacity of machine 1 is defined by th
ollegr [7]

Total capacity = sum of the individual production capacities.

Here,

Total capacity = sum of f(m) = (m + 4)^2 + 100  and g(m) = (m + 12)^2 − 50.

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We must expand the binomial squares in order to combine like terms:

 m^2 + 8 m + 16 + 100

+m^2 + 24m + 144 - 50

---------------------------------

Then f(m) + g(m) = 2m^2 + 32m + 160 + 50  

      f(m) + g(m)   = 2m^2 + 32m + 210, where m is the number of

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6 0
3 years ago
6 - 2x = 6x - 10x + 4
yarga [219]

6 - 2x = 6x - 10x + 4

6 - 2x =  - 4x + 4

6 =  - 4x + 4 + 2x

6 =  - 2x + 4

- 2x + 4 = 6

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x =  \frac{ \:  \:  \: 2}{ - 2}

x =  - 1

Therefore , the value of x = -1

6 0
3 years ago
The hypotenuse of a right triangle measures 11 cm and one of its legs measures 1 cm. Find the measure of the other leg. If neces
goblinko [34]

Answer:

10.9 is the length of the other leg

Step-by-step explanation:

use the reverse Pythagorean therm

the square root of 11(squared) - 1(squared) = 10.9

5 0
2 years ago
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