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Paha777 [63]
1 year ago
14

Challenge Yossi used to have a square garage with 246 ft of floor space. recently built an addition to it. The garage is still a

​ square, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?
Mathematics
1 answer:
irina [24]1 year ago
4 0

Considering the perimeter of a square, it is found that:

  • The length of one side of the garage​ originally was of 61.5 ft.
  • The length of one side of the garage​ now is of 92.25 ft.
  • The percent increase in the length of one​ side was of 50%.

<h3>What is the perimeter of a square?</h3>

The perimeter of a square of side length s is given by four times the length, that is:

P = 4s.

Before the change, the perimeter was of 246 ft, hence:

4s = 246

s = 246/4

s = 61.5.

The length of one side of the garage​ originally was of 61.5 ft.

After that, the perimeter increased by 50%, hence:

P = 246 x 1.5 = 369.

4s = 369

s = 369/4

s = 92.25.

The length of one side of the garage​ now is of 92.25 ft.

The percent increase is the increase divided by the initial value, hence:

(92.25 - 61.5)/61.5 = 50%.

The percent increase in the length of one​ side was of 50%.

More can be learned about the perimeter of a square at brainly.com/question/10489198
#SPJ1

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3 years ago
Use △XYZ, in which ∠X is a right angle and tanY=815.
Neporo4naja [7]

Answer:

8/17

Step-by-step explanation:

The correct and complete question is:

<em>Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?</em>

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tan(Y) = opposite/adjacent

From the graph and the question:

tan(Y) = XZ/XY = 8/15

Then:

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XZ² + XY² = YZ²

8² + 15² = YZ²

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From definition:

sin(Y) = opposite/hypotenuse

From the graph:

sin(Y) = XZ/YZ

sin(Y)= 8/17

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Answer: Choice A

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==============================================

Explanation:

Congruent triangles are identical copies of one another. This means the corresponding pieces must be the same.

It's like saying two houses are identical, so that means the all the various parts (eg: front door, windows, etc) must be identical. If let's say the two front doors were different, then the houses wouldn't be completely identical.

Going back to the triangles, we know that the sides are congruent by the tickmarks

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That takes care of the first part of choice A.

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