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VashaNatasha [74]
3 years ago
14

What is the perimeter of this triangle ⬆️​

Mathematics
1 answer:
kati45 [8]3 years ago
8 0

Answer:

36 km

Step-by-step explanation:

We can use the Pythagorean theorem to find a

a^2 +b^2 =c^2

a^2 +12^2 = 15^2

a^2 +144=225

Subtract 144 from each side

a^2 =225-144

a^2 =81

Taking the square root of each side

a = sqrt(81) = 9

Then we need to find the perimeter

a+12+15

9+12+15

36

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A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 50 ya
Zanzabum

Answer:

22.9 yards

Step-by-step explanation:

Since b² = a² - c² where a = vertex of major axis, 2a = 50 yards the length of the major axis. So , a = 50/2 = 25 yards. c = focus of chamber = 10 yards from center and b = vertex of minor axis.

So, b = ±√(a² - c²)

= ±√(25² - 10²)

= ±√(625 - 100)

= ±√525

= ±22.91 yards

≅ ± 22.9 yards

Since b = length of minor axis from center of chamber = 22.91 yards. So, he should build the whisper chamber 22.9 yards out from the center of the chamber.

7 0
3 years ago
Michael buys a computer that is on sale for 10% off the original price. The original price is $38 more than the sale price. What
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Answer:

380

Step-by-step explanation:

10%->38

100%-> 38÷10×100=380

6 0
3 years ago
Jose works at a restaurant. They earn 14.45 per hour plus a 8.50 each time someone signs up for the store's credit card.
lidiya [134]

m = money earned in one week

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7 0
3 years ago
Cam's tent (shown below) is a triangular prism. Find the surface area, including the floor, of his tent.
SVEN [57.7K]

The surface area of the tent is 21.4 m²

Step-by-step explanation:

To find the surface area of a prism you must calculate:

1. The perimeter of the base

2. The area of the base

3. The height of the prism

We have a triangular prism:

Its base is an equilateral triangle of side length 2 m and height 1.7 m

The height of the prism is 3 m

∵ The surface are of the prism is:

   S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the equilateral triangle = 3 × length of a side

∵ The length of the side = 2 m

∴ The perimeter of the base = 3 × 2 = 6 m

∵ The area of the triangle = \frac{1}{2} × base × height

∵ The length of the base of the triangle = 2 m

∵ The height of the triangle = 1.7 m

∴ The area of the base = \frac{1}{2} × 2 × 1.7 = 1.7 m²

∵ S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the base = 6 m

∵ The area of the base = 1.7 m²

∵ The height of the prism = 3 m

∴ S.A = 6 × 3 + 2 × 1.7

∴ S.A = 18 + 3.4

∴ S.A = 21.4 m²

The surface area of the tent is 21.4 m²

Learn more:

You can learn more about surface area of a solid in brainly.com/question/12613605

#LearnwithBrainly

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3 years ago
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Which of the numbered stones shown cannot be mapped to another with a rigid motion?​
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Answer:

7,8,11,12,13,14

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