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vekshin1
2 years ago
14

Find the length of the missing side. triangle with an 8 inch side and 12 inch side with a right angle 8.9 in. 104 in. 4 in 14.4

in
Mathematics
1 answer:
Mamont248 [21]2 years ago
4 0

Given:

In a triangle, length of one side is 8 inches and length of another side is 12 inches, and an angle is a right angle.

To find:

The length of the missing side.

Solution:

In a right angle triangle,

Hypotenuse^2=Perpendicular^2+Base^2

Suppose the measures of sides adjacent to the right angle are 8 inches and 12 inches.  

Substituting Perpendicular = 8 inches and Base = 12 inches, we get

Hypotenuse^2=8^2+12^2

Hypotenuse^2=64+144

Hypotenuse^2=208

Taking square root on both sides, we get

Hypotenuse=\sqrt{208}

Hypotenuse=14.422205

Hypotenuse\approx 14.4

The length of the missing side is 14.4 inches. Therefore, the correct option is D.

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12:45Answer:

Part A: 9 hours 45 minutes

Part B: $126.1575

Step-by-step explanation:

Part A,

From 7:45 to 12:15 is 4 hours and 30 minutes

From 12:45 which he clocked back in to 6:00 is 5 hours and 15 minutes.

4 hours and 30 minutes plus 5 hours and 15 minutes = 9 hours and 45 minutes.

Part B, 9 hours and 45 minutes can be represented as 9.45

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15.35 x 9.45 = 126.1575

Therefor he earned 126.15.

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3 years ago
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3 years ago
a storage room measures 20 feet by 15 feet. the floor is covered by tiles that cost $7.50 per square foot. what will be the cost
Sidana [21]

Answer: $2250

Step-by-step explanation:

<u>Given information</u>

Dimension of the room = 20 feet × 15 feet

Cost of tiles = $7.50 / ft²

<u>Derived formula from the given information</u>

Total cost = Floor area × Cost of tiles

<u>Substitute values into the formula</u>

Total cost = Floor area × Cost of tiles

Total cost = (20 × 15) × (7.5)

<u>Simplify by multiplication</u>

Total cost = 300 × (7.5)

\Large\boxed{Total~cost~=~2250~Dollars}

Hope this helps!! :)

Please let me know if you have any questions

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2 years ago
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Morgarella [4.7K]

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A triangle has a hypotenuse of 2.9ft and a leg of 2.6ft. Find the smallest angle.
OleMash [197]

Answer:

 Lowest angle of the triangle with hypotenuse of 2.9ft and a leg of 2.6ft is   26.29°.

Explanation:

 A triangle has a hypotenuse of 2.9ft and a leg of 2.6ft

 We  have smallest angle = Angle C

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So lowest angle of the triangle with hypotenuse of 2.9ft and a leg of 2.6ft is   26.29°.

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