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3 years ago

7

8/180.0 i really need this anwser kid version for my kid pls and i would help but i also dont know

1 answer:

Alinara [238K]3 years ago

6 0

Hi, is this a fraction and are you asking for it to be simplified?

If so 8/180 simplifies to 2/45. If you're asking for 8 divided by 180, the answer is 0.04444444 or simply 0.0444... and rounded to the 100th place is 0.04

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3 years ago

Find all the missing dimensions when a=9, b=13, c=64°

DerKrebs [107]

Answer:

Part 1) $c=12.14\ units$

Part 2) $m\angle A=41.78^o$

Part 3) $m\angle B=74.22^o$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

$c^2=a^2+b^2-2(a)(b)cos(C)$

we have

$a=9\ units\\b=13\ units\\C=64^o$

substitute

$c^2=9^2+13^2-2(9)(13)cos(64^o)$

$c^2=81+169-234cos(64^o)$

$c^2=250-234cos(64^o)$

$c^2=147.4212$

$c=12.14\ units$

step 2

Find the measure of angle A

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{9}{sin(A)}=\frac{12.14}{sin(64^o)}$

solve for sin(A)

$sin(A)=\frac{sin(64^o)}{12.14}(9)$

$sin(A)=0.6663$

$m\angle A=sin^{-1}(0.6663)=41.78^o$

step 3

Find the measure of angle B

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

$m\angle A+m\angle B+m\angle C=180^o$

substitute the given values

$41.78^o+m\angle B+64^o=180^o$

$m\angle B+105.78^o=180^o$

$m\angle B=180^o-105.78^o$

$m\angle B=74.22^o$

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