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antiseptic1488 [7]
3 years ago
10

A given polygon has an area of 42 square feet. If the polygon is enlarged by a linear scale factor of 5, what is the area of the

new enlarged polygon
Mathematics
1 answer:
Fittoniya [83]3 years ago
5 0

Answer:

1050 ft²

Step-by-step explanation:

Enlarging the polygon by a factor of 5 has the effect of increasing the area by a factor of 5², that is 25

new area = 25 × 42 = 1050 ft²

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Solve the inequality for x. Show each step of the solution. 10x>8(3x-2)-12
Anettt [7]

Answer:

x < 2

Step-by-step explanation:

Given

10x > 8(3x - 2) - 12 ← distribute parenthesis on right side

10x > 24x - 16 - 12, that is

10x > 24x - 28 ( subtract 24x from both sides )

- 14x > - 28

Divide both sides by - 14, reversing the inequality symbol as a result of dividing by a negative quantity.

x < 2

8 0
3 years ago
How do you tell if it's possible to make a triangle out of these side lengths?<br> PLZ HELP!!!!!
Nastasia [14]

Answer:

A

Step-by-step explanation:

square root of 73 is about 8.5

square root of 10 is about 3. multiply by 3, you get 9.

square root of 7 is about 2.6. multiply by 5, you get 13.

when determining if you can make a triangle, if all variants of two sides can add up to be greater than the third side, you can make the triangle. so 8.5+9 > 13; 13+9 > 8.5; 13+8.5 > 9. this means it can make a triangle and all you have to do is order the sides.

8.5 is smallest which corresponds to angle c because it's opposite. 9 goes to angle a, then finally 13 goes to angle b. thus, angles c, a, b is the order.

side note: the smallest side length will always correspond with the smallest angle.

hope this helps :)

3 0
3 years ago
Isla flipped a coin 30 times. The coin landed heads up 9 times and tails up 21 times.
DedPeter [7]

A.) Either way the probability would be 1/2 because there are only 2 sides of a coin so fate decides on which side it will land on.


B.)Same as A

8 0
3 years ago
When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in i
poizon [28]

Answer:

96feet

Step-by-step explanation:

Given the height, in inches, of a spray of water is given by the equation ℎ(x)=160−16x^2

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To get the height of the spray 2 feet away from the sprinkler head, we will simply substitute x =2 into the function and et the height h as shown;

From the equation

ℎ(x)=160−16x^2

h(2) = 160-16(2)²

h(2) = 160-16(4)

h(2) = 160-64

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8 0
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valentinak56 [21]

Answer:

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$15.00 / $1.50 = 10

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