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elena-s [515]
3 years ago
7

∠A is an acute angle in a right triangle.

Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0
Cosine = adjacent / hypotenuse
So that means the adjacent side = 15 and the hypotenuse = 17
By Pythagorean Theorem, we know that
opposite^2 = hypotenuse^2 - adjacent^2
opposite^2 = 17^2 - 15^2
opposite^2 = 289 - 225
opposite^2 = 64
opposite side = 8

sine = opposite / hypotenuse
So,
sine A = 8 / 17


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Below is a diagram of Hillcrest High School. The english and math buildings are congruent rectangles. The art building is a squa
rusak2 [61]

Answer/Step-by-step explanation:

1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft

Thus:

4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718

Open the Parentheses

4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718

Combine like terms

42x - 2 = 1,718

42x = 1,718 + 2

42x = 1,720

x ≈ 41

2. Missing perimeter of Building = 2x + 2x + 4x - 6

Simplify

= 8x - 6

Plug in the value of x

= 8(41) - 6

= 322 ft

3. Area of English Building = length * width

= (4x - 6 + 2x)(3x)

Simplify

= (6x - 6)(3x)

Plug in the value of x

= (6(41) - 6)(3(41))

= (246 - 6)(123)

= (240)(123)

= 29,520 ft²

5 0
3 years ago
5) Narcy had 164 dodars to spend on 9 books. After
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation c
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Given:

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24% ammonia

Find:

Number of gallons of water to remove

Solution:

Let n = number of gallons needed to obtain 24% ammonia

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Question 2
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Answer:

answer J

Step-by-step explanation:

srry if im wrong  hope it helps:)

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When 3a? – 7a+ 6 is subtracted from 4a? - 3a +4,<br> the result is
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Step-by-step explanation:

(3a-7a+6)-(4a-3a+4)

(-4a+6)-(1a+4)

Add the remaining a's together, as well as the 6 and 4.

you get,

-3a+10

8 0
3 years ago
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