The solution for proving the identity is as follows:
sin(2A) = sin(A + A)
As sin(a + b) = sinacosb + sinbcosa,
<span>sin(A + A) = sinAcosA + sinAcosA
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<span>Therefore, sin(2A) = 2sinAcosA
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Answer:
you need to rotate the shape to the right into the upper right hand section of the graph
We use the trigonometric function for this case. An escalator is an inclined path. We form a right triangle since we have given the value of the height. The height from the first floor to second floor is called the adjacent while the travelled distance of the people is called the hypothenuse. We use cosine function because we are given in terms of adjacent and hypothenuse. The ratio of cosine function is
cos x = a/h
where x is the angle
Solving for h,
h = a/(cos x) = 21/(cos 30) = 24.25 ft
Initial fee: $25
Per hour fee: $7
Your budget: $60
x = # of hours you can rent the surfboard
$25 + $7x ≤ $60
Subtract $25 from both sides.
$7x ≤ $35
Divide both sides by $7
x ≤ 5
You can rent the surfboard for less than or equal to 5 hours.
Answer:
18m
Step-by-step explanation:
113.04m/3.14 = 36m/4m = 9m*2 = 18m