Cries In didn’t pay attention in class in my lower grades

Mathematics

1 answer:

seraphim [82]3 years ago

4 0

Answer:

a. 32

b. 48

Step-by-step explanation:

Forty percent of the 80 birds were robins.

a. How many of the birds were robins?

b. How many of the birds were not robins?
___________________
Forty percent of the 80 birds that were robins = 40%/100%

To find how many of the birds were robins, use part/whole = part/whole

40%/100% = ?/80

This will tell us how many exact robins were there

To solve, multiply 80 by 40 and then divide all by 100

80 x 40 ÷ 100 = 32

so 32 of the birds were robins

now for b since 32 of the birds were robins out of 80 birds, subtract 32 from 80.

80 - 32 = 48

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Korvikt [17]

Answer:

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Step-by-step explanation:

How are tangents and secants related to sines and cosines?

$\displaystyle \tan{x} = \frac{\sin{x}}{\cos{x}}$ .

$\displaystyle \sec{x} = \frac{1}{\cos{x}}$ .

Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, $\sin^{2}{x} = 1 - \cos^{2}{x}$ . Therefore, for the square of tangents,

$\displaystyle \tan^{2}{x} = \frac{\sin^{2}{x}}{\cos^{2}{x}} = \frac{1 - \cos^{2}{x}}{\cos^{2}{x}}$ .

This equation will thus become:

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To simplify the calculations, replace all $\cos^{2}{x}$ with another variable. For example, let $u = \cos^{2}{x}$ . Keep in mind that $0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1$ .