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2 years ago

6

The local newspaper has letters to the editor from 80 people. If this number represents 5 % of all of the newspaper's readers,

how many readers does the newspaper have?

1 answer:

Elden [556K]2 years ago

8 0

Answer:

The newspaper has 1,600 readers.

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Vera_Pavlovna [14]

F(m) = 2.5 + 0.12m

if Natalie paid $6.82

6.82 = 2.5 + 0.12m
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2 years ago

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3 years ago

Find sin 2a and cot 2a:

geniusboy [140]

Answer:

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}$

Step-by-step explanation:

$\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\$

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}$

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2 years ago

What is p=2(e+w)for e solve for indicated variable?

vagabundo [1.1K]

$p=2(e+w) \\ p=2e+2w \ \ \ /-2w \\ p-2w=2e \ \ \ /:2 \\ \dfrac{p-2w}{2} =e \\ \dfrac{1}{2} (p-2w)=e \\ \dfrac{1}{2} p - w=e$

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2 years ago

Read 2 more answers