area = L x W
144 = 9 x X
144/9 = 16
so rectangle is 9 x 16
diagonal = Square root of 9^2 + 16^2
squareroot( 81 + 256) = sqrt(337) = 18.357 = 18.36 feet
Answer: n=4
Step-by-step explanation:
6n=24
24/6=4
n=4
Answer:
The angle of elevation is about 27°
Step-by-step explanation:
Let's view this case in the form of a right angled triangle. With the original height as the opposite side to the elevation angle and the shadow length as the adjacent side.
Let x represent the original height
2x is the length of shadow
And θ the angle of elevation
Applying trigonometry;
Tan θ = opposite/adjacent = original height/shadow length
Substituting the values;
Tan θ = x/2x
Tan θ = 1/2
θ = taninverse(1/2)
θ = 26.56505117707
θ ≈ 27°
Elevation angle is approximately 27°
-2x + 6 + 6x = 6 (2x - 3) <em>this is the equation</em>
-2x + 6 + 6x = 12x - 18 <em>distributive property has been applied</em>
4x + 6 = 12x - 18 <em>like terms have been added</em>
6 = 8x -18 <em>4x has been</em><em> </em><em>subtracted from both sides</em>
24 = 8x <em>-18 has been added to both sides</em>
3 = x <em>8 has been divided from both sides</em>
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I hope this helps! Let me know if I need to explain more or if I got something wrong. Have a nice day!
Answer:
1/64
Step-by-step explanation:
