5 - x - x = - 1
5 + -2x = - 1
-5 -5
-2x = -6
divided by 2 on both sides
x = 3
P=2(L+W)
114=2(2x-3+x)
114=4x-6+2x
114=6x-6
120=6x
x=20
width=20
L=2x-3
L=2(20)-3
L=40-3
L=37
length=37
Answer:
question (1)
height of building = 308 ft
question (2)
cos 67.11 = 7/18
Explanation:
question (1)
Taking a look at the triangle, we can see that it is a right-angled triangle. This means that we can apply the special trigonometric identities.
The one we will use here is:
tan Θ = opposite / adjacent
where:
Θ = 72
the opposite side is the height of the building
the adjacent side = 100 ft
Substitute to get the height as follows:
tan(72) = height / 100
height = tan(72)*100 = 307.76 which is approximately 308 ft
question (2):
We are given that:
cos Θ = 7/18
therefore:
Θ = cos^-1(7/18)
Θ = 67.114
approximating to the nearest tenth, we would find that:
Θ = 67.11°
Hope this helps :)
He drank 48 quarts
the formula to get that answer is multiply the volume value by 4.
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