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2 years ago

12

A zoo has 5 Emperor penguins. The Emperor penguins make up 30%, percent of all the penguins at the zoo. How many penguins live a

t the zoo

1 answer:

Maurinko [17]2 years ago

7 0

Answer:

50

Step-by-step explanation:

this can be solved by ratio 15/x = 30/100. Cross multiply and solve for x. The answer is 50.

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2 years ago

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Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

$\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta$

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

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$\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta$

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

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$\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta$

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