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12345 [234]
3 years ago
7

Is the following equation true or false? Explain your reasoning. (x + 8)2 = x2 + 64

Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0

Answer:

False

Step-by-step explanation:

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Hello!


To find the value of b, we need to use the Law of Sines. The law states,

sin A / a = sin B / b = sin C / c.


We are given these values: sin A = 55 degrees, side a = 8 cm, sin C = 82 degrees.


Since angle B is not given, we have to find it ourselves. We can find the measure of angle B by subtracting both the given angle values from 180 degrees because every triangle is equal to 180 degrees.


180 - 55 - 82 = 43 | The measure of sin B = 43 degrees.


sin (55) / 8 = sin (43) / b (multiply both sides by b)

0.10239... · b = 0.68199... (divide both sides by 0.10239...)

c = 6.6607...


The measure of side b is equal to about 6.7 centimeters.

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I think it is 3.5

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