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Ilia_Sergeevich [38]
3 years ago
9

On a map, the length of a nature trail is 7.2 centimeters. If the scale is 1 centimeter to 25 kilometers, what is the actual len

gth of the trail? Round to the nearest tenth when necessary. HINT: Set up and solve as a proportion and find x
Mathematics
1 answer:
Lisa [10]3 years ago
7 0
A:b=c:d
7.2:x=1:25. If u see two ratios equal each other, the product of a and d is equal to the product of b and c. This means that (7.2 times 25) is equal to x. This equals 180=x. The actual distance of the trail of 180 km. Hope this helps!
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Answer:

even

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Answer:

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Step-by-step explanation:

Given

tan²θcos(2θ)

Required

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cos(A+A) = cosAcosA - sinAsinA

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By comparison

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Make sin²θ the subject of formula

sin²θ = 1 - cos²θ

Substitute sin²θ = 1 - cos²θ in equation 1

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cos(2θ) = 2cos²θ - 1

Substitute 2cos²θ - 1 for cos(2θ) in the given question

tan²θcos(2θ) becomes

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Open brackets

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------------------------

Simplify tan²θ

tan²θ = (tanθ)²

Recall that tanθ =  sinθ/cosθ

So, we have

tan²θ = (sinθ/cosθ)²

tan²θ = sin²θ/cos²θ

------------------------

Substitute sin²θ/cos²θ for tan²θ

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2cos²θ(sin²θ/cos²θ) - tan²θ

Open bracket (cos²θ will cancel out cos²θ) to give

2(sin²θ) - tan²θ

2sin²θ - tan²θ

Hence, the simplification of tan²θcos(2θ) is 2sin²θ - tan²θ

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