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3 years ago

What is the answer to 4/3.8/3

Mathematics

1 answer:

kondor19780726 [428]3 years ago

4 0

$\frac{4}{3}\times \frac{8}{3}
\\= \frac{4\times8}{3\times3}
\\= \frac{32}{9}$

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Genrish500 [490]

Answer:

$\angle B = 60^o$

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Step-by-step explanation:

Given

$a= 15$

$\angle A = 30^o$

$\angle C = 90^o$

<em>See attachment for illustration</em>

Required

Solve the triangle

First, we calculate the measure of B

$\angle A + \angle B + \angle C = 180^o$ --- angles in a triangle

$30^o + \angle B + 90^o = 180^o$

Collect like terms

$\angle B = 180^o-90^o-30^o$

$\angle B = 60^o$

Solve for (c) using sine function

$\sin(30) = \frac{a}{c}$

Make c the subject

$c = \frac{a}{\sin(30)}$

Substitute known values

$c = \frac{10}{0.5}$

$c = 20$

Solve for (b) using Pythagoras

$c^2 = a^2 + b^2$

This gives:

$20^2 = 10^2 + b^2$

$400 = 100 + b^2$

Collect like terms

$b^2 =400 - 100$

$b^2 =300$

Take square roots

$b =17.3$

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