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Mariana [72]
4 years ago
6

HELP!

Mathematics
1 answer:
tigry1 [53]4 years ago
8 0

Answer:

b=40.01\ units

Step-by-step explanation:

we know that

Applying the law of sines

\frac{b}{sin(B)}=\frac{a}{sin(A)}

b=\frac{a}{sin(A)}(sin(B))

we have

a=25\ units

A=32.5\°

Find the measure of angle B

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

so

A+B+C=180\°

substitute the given values

32.5\°+B+26.8\°=180\°

B=180\°-59.3\°=120.7\°

Find the length side b

b=\frac{a}{sin(A)}(sin(B))

substitute the values

b=\frac{25}{sin(32.5\°)}(sin(120.7\°))

b=40.01\ units

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We can tell this because of the rule regarding factoring the difference of two perfect squares. When we have two squares being multiplied, we can use the following rule.

a^2 - b^2 = (a - b)(a + b)

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Step-by-step explanation:

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Step-by-step explanation:

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2. J

3. F

4. E

5. B

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