Answer:
the angle of elevation is 12.56°
Step-by-step explanation:
the height of the ramp represents the opposite side and the length of the ramp the hypotenuse
we see that it has (angle, hypotenuse, opposite)
well to start we have to know the relationship between angles, legs and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we choose the one with opposite and hypotenuse
sin α = o/h
sin α = 5ft / 23ft
sin α = 5/23
α = sin^-1 ( 5/23)
α = 12.56°
the angle of elevation is 12.56°
I hope this helps you
100+42+8
100+50
150
How much part can sally paint in an hour ?
a ÷ 7 = a/7
And what about Steve ?
a ÷ 9 = a/9
Where, a is the total area of the room.
So, let the time taken by both of them to paint the room together be 't'
So,
t(a/7 + a/9) = a
t(9a/63 + 7a/63) = a
t(16a/63) = a
t = 63/16 ≈ 4 hr
Let width = x ft then
2x + 2(2x) = 42
6x = 42
x = 7
so the width is 7 ft and length is 14 ft.
So the cost to build the pen = 14*1.25 + 14*1,25 + 7*2.50 + 7*2.50
= 70 answer
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Expression
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5x - 3x
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Substitute x = 2
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5 (2) - 3(2)
= 10 - 6
= 4
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Answer: 4
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