10 months ago

Which of the following numbers is closest to 4? A. V13 B. √18 C. √15 D. √19

Mathematics

1 answer:

vovikov84 [41]10 months ago

4 0

Answer: C $\sqrt 15$

Step-by-step explanation:

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2 years ago

When e = 4, f = 2, and g = 8If e varies jointly with f and g, what is the constant of variation?

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Step-by-step explanation:

Joint variation problem solve using the equation y = kxz.

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e=kfg

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2 years ago

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Anuta_ua [19.1K]

Answer:

$\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}$

Step-by-step explanation:

Given

$\sin(105^o)$

Required

Solve

Using sine rule, we have:

$\sin(A + B) = \sin(A)\cos(B) + \sin(B)\cos(A)$

This gives:

$\sin(105^o) = \sin(60 + 45)$

So, we have:

$\sin(60 + 45) = \sin(60)\cos(45) + \sin(45)\cos(60)$

In radical forms, we have:

$\sin(60 + 45) = \frac{\sqrt 3}{2} * \frac{\sqrt 2}{2} + \frac{\sqrt 2}{2} * \frac{1}{2}$

$\sin(60 + 45) = \frac{\sqrt 6}{4} + \frac{\sqrt 2}{4}$

Take LCM

$\sin(60 + 45) = \frac{\sqrt 6 + \sqrt 2}{4}$

Rewrite as:

$\sin(60 + 45) = \frac{\sqrt 2 + \sqrt 6}{4}$

Hence:

$\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}$

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2 years ago

Which of the following numbers is closest to 4? A. V13 B. √18 C. √15 D. √19​

Which of the following numbers is closest to 4? A. V13 B. √18 C. √15 D. √19