Evaluate 7g + 18 if g = 21

1 answer:

s2008m [1.1K]3 years ago

7 0

The answer is 165 because 7g means 7xg and g=21 so you would do 7x21 which equals 147. Then you add 18 which equals 165.

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Sarah multiplied 4.16 and 1.83, as shown. But she forgot to put a decimal point in the answer. Complete the sentence below.

Gre4nikov [31]

Answer: The correct answer should be 7.6128

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8 0

4 years ago

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What is sin θ when sec θ = square root of 5? Rationalize the denominator if necessary.

alexandr1967 [171]

$\bf sec(\theta )=\sqrt{5}\implies \cfrac{1}{cos(\theta )}=\sqrt{5}\implies \cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{\sqrt{5}}}=cos(\theta )~\hfill \leftarrow \stackrel{\textit{let's find the}}{\textit{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}$

$\bf \pm\sqrt{(\sqrt{5})^2-1^2}=b\implies \pm\sqrt{5-1}=b\implies \pm\sqrt{4}=b\implies \pm 2=b \\\\[-0.35em] ~\dotfill\\\\ sin(\theta )=\pm\cfrac{\stackrel{opposite}{2}}{\stackrel{hypotenuse}{\sqrt{5}}}\implies \stackrel{\textit{rationalizing the denominator}}{\pm\cfrac{2}{\sqrt{5}}\cdot \cfrac{\sqrt{5}}{\sqrt{5}}\implies \pm\cfrac{2\sqrt{5}}{(\sqrt{5})^2}\implies \pm\cfrac{2\sqrt{5}}{5}}$