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Gelneren [198K]

3 years ago

15

Please choose the answer that describes the scientific notation for 5,098,000. A. 5.098 × 75777 B. 5.098 × 108 C. 5.098 × 107 D.

5.098 × 106

1 answer:

BigorU [14]3 years ago

4 0

It is D, because 5.098 times 10 to the power of 6 does equal 5098000

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kvv77 [185]

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1 year ago

HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270

BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

$\large \boxed{sin \theta = tan \theta cos \theta} \\ \large \boxed{tan^{2} \theta + 1 = {sec}^{2} \theta}$

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$\large{ {4}^{2} + 1 = {sec}^{2} \theta } \\ \large{16 + 1 = {sec}^{2} \theta } \\ \large{ {sec}^{2} \theta = 17}$

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$\large \boxed{sec \theta = \frac{1}{cos \theta} } \\ \large \boxed{ {sec}^{2} \theta = \frac{1}{ {cos}^{2} \theta} }$

And thus,

$\large{ {cos}^{2} \theta = \frac{1}{17}} \\ \large{cos \theta = \frac{ \sqrt{1} }{ \sqrt{17} } } \\ \large{cos \theta = \frac{1}{ \sqrt{17} } \longrightarrow \frac{ \sqrt{17} }{17} }$

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Then use the Identity of sinθ = tanθcosθ to find the sinθ.

$\large{sin \theta = 4 \times ( - \frac{ \sqrt{17} }{17}) } \\ \large{sin \theta = - \frac{4 \sqrt{17} }{17} }$

Answer

sinθ = -4sqrt(17)/17 or A choice.

4 0

3 years ago

How do I write an algebraic equation for this word problem?

Doss [256]

Hi.

Please note that I haven't done much algebra.

4 more = 4 +

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So far we have 4 + 2n

Since it's an equation, we are going to know what it equals. In the problem, we find out that it's 11. So the equation looks like this:

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If this didn't work out, please let me know.

~

I believe n = 3.5

7 0

2 years ago