Area = [radius^2 * 5 * sine (360/5)] / 2
area = [64 * 5 * 0.95106] / 2
area =
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152.1696
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Answer:
Step-by-step explanation:
To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.
a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:
we can substitute the value of sec(θ) in this equation:
and solve for for cos(θ)
side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by
b) since right triangle is mentioned in the question. We can use:
we know the value of cos(θ)=1\52. and by comparing the two. we can say that:
- length of the adjacent side = 1
- length of the hypotenuse = 52
we can find the third side using the Pythagoras theorem.
- length of the opposite side = √(2703) ≈ 51.9904
we can find the sin(θ) using this side:
and since
336+247=583miles
charlotte-chicago
charlotte-ohio=336
ohio- Chicago-247
so charlotte-chicago=583miles
Answer:
x = 3
Step-by-step explanation:
10x + 1 = 12x - 5
Subtract 1 from each side
10x = 12x - 6
Subtract 12x from each side
-2x = -6
Divided by -2
x = 3