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QveST [7]
3 years ago
8

Solve the following triangle completely.

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

The answers is below in bold.

Step-by-step explanation:

(a) A = 180 - 25.6 - 124.4 = 30 degrees.

Next use the Sine Rule:

b / sin B = c / sin C

b / sin 25.6 = 39.2/sin 124.4

b = (39.2 * sin 25.6) / sin 124.4

b = 20.53 m.

Also

a / sin A = c / sin C

a / sin 30 = 39.2 / sin 124.4

a =  (39.2 * sin 30 / sin 124.4

a = 23.75 m.

b). This is solved in a similar way to (a).

First find angle C  using the sine rule.

Then you will know angle A  from the 180 degree Rule.

Then you can find the length of  a using the Sine Rule.

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Write 45/72 in the simplest form
Oliga [24]
Hi! 

In my opinion, the easiest way to solve a problem like this is to find the greatest common factor (GCF) of the numerator and denominator and then divide both numbers by the GCF. 

So first we need to find the factors of 45 and 72 and find the factor that has the most value that the two numbers both have. 

45: 1, 3, 5, 9, 15, and 45

72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

It looks like the GCF is 9. Now we have to divide 45 and 72 by 9. 

45 ÷ 9 = 5

72 ÷ 9 = 8

So the correct answer should be:

\frac{45}{72} =  \frac{5}{8}

Hope this helps :)
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Is −4[3(x−7)] and 6(14−2x) equiviant
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