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Softa [21]
3 years ago
7

0.55a - a I don’t understand how this comes out to -0.45a. Can someone explain?

Mathematics
2 answers:
Dmitry [639]3 years ago
8 0

Step-by-step explanation:

please give me brainlest

Black_prince [1.1K]3 years ago
5 0

Answer:

- 0.45a

Step-by-step explanation:

0.55a - a

O.55 - 1 = - 0.45

= - 0.45a

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

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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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