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eduard
3 years ago
14

Is 5 in the solution set of x + 3 > 8? Explain

Mathematics
1 answer:
Arada [10]3 years ago
3 0

Answer:

yes

Step-by-step explanation:

x+3>8

-3

x>5

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Alex is creating an outdoor structure out of two 12 foot boards. The boards must have an angle of elevation
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Answer:

5.0 ft - 5.6 ft

Step-by-step explanation:

Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.

Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;

Tan α = opposite side length/adjacent length

Tan 40°= h/8

h= 8 tan 40° = 6.71 ft

Applying the cosine of an angle formula to find the length of the sliding side

Cosine β = adjacent length /hypotenuse

Cosine 40°= 8/ sliding side length

sliding side length = 8/cosine 40° =10.44 ft

Checking  the perimeter = 10.44 +8+6.71= 25.15 ft

This is more than the total lengths of the boards, so you need to adjust the height as;

24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft

h≤ 5.6 ft

6 0
2 years ago
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Hello

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Have a nice day


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7 0
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