4 years ago

A ratio comparing a number to 100

1 answer:

5 0

"Percent" - For details read the explanation given below.

percentages compare numbers in the numerator to 100 and the ratio that compares a number to 100 is logically called percent.

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Betty's bakery bakes white bread and brown bread. The loaves of bread are then stored in a store room that can house only 900 lo

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How many solutions does the equation sin(4x)= 3/4?

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$sin(4x)= \dfrac{3}{4}$

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<span>Since sin is a periodic function, add the periodicity.
</span>
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$

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Verify the identity below with work and/ or explanation. 2gh/sin^2θ = 2gh sec^2θ/sec^2θ-1 Thanks!

Orlov [11]

Answer:

identify is verified, see work below.

Step-by-step explanation:

Verify following identity

2gh/sin^2θ = 2gh sec^2θ/sec^2θ-1

use identity 1+tan^2(θ) = sec^2(θ) on denominator of right-hand-side

right-hand side

= 2gh sec^2(θ) / (sec^2(θ)-1)

= 2gh sec^2(θ) / (tan^2(θ))

= 2gh sec^2(θ) * (cos^2(θ) / sin^2(θ) ) [note: sec^2(θ) = 1/cos^2(θ)]

= 2gh * 1 / sin^2(θ)

= 2gh / sin^2(θ)

= left-hand side

Therefore identify is verified.

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4 years ago