Find all the missing elements. A=109 C=13 b=6 B=? a=? c=?

Mathematics

1 answer:

sasho [114]3 years ago

7 0

Answer:

B = 58°
a = 6.6896
c = 1.5915

Step-by-step explanation:

Given two angles and the side between them, the first step must be to find the value of the third angle, the one opposite the given side. It will be ...

B = 180° -A -C = 180° -109° -13° = 58°

Using this information and the Law of Sines, you can find the remaining sides.

a/sin(A) = b/sin(B) = c/sin(C)

Then the missing sides are ...

a = b(sin(A)/sin(B)) = 6(sin(109°)/sin(58°)) ≈ 6.6896

c = b(sin(C)/sin(B)) = 6(sin(13°)/sin(58°)) ≈ 1.5915

The missing measures are ...

B = 58°

a = 6.6896

c = 1.5915

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Kazeer [188]

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3 years ago

Andrew can paint the neighbor's house 6 times as fast as The year and worked together, it took them 5 days. How long would it

Rina8888 [55]

Answer: $\dfrac{35}{6}\ \text{days},\ 35\ \text{days}$

Step-by-step explanation:

Given

Andrew can paint times faster than the other

Suppose the other person take 6x days

So, andrew takes only x days to paint alone

When they work together, it took them 5 days i.e.

$\Rightarrow \dfrac{1}{x}+\dfrac{1}{6x}=\dfrac{1}{5}\\\\\Rightarrow \dfrac{6+1}{6x}=\dfrac{1}{5}\\\\\Rightarrow x=\dfrac{35}{6}\ \text{days}$

So, time taken by the to finish individually is given by

$\Rightarrow \text{Andrew= }\dfrac{35}{6}\ \text{days}\\\\\Rightarrow \text{Other Person}=6\times \dfrac{35}{6}\\\\\Rightarrow \text{Other Person}=35\ \text{days}$