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
Answer:
2
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Even though we don't know the number yet, let's name this number "n".
8n + 3 = 6n + 19
8n + 3 - 6n = 6n + 19 - 6n
2n + 3 = 19
2n = 16
n = 16/2
n = 8
Our number is 8.
Note: This answer is 100% correct.
When i calculated it , it says 993.813
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