Find a. Round to the nearest tenth.

Mathematics

1 answer:

Kazeer [188]3 years ago

6 0

9514 1404 393

Answer:

21.8 cm

Step-by-step explanation:

A useful way to write the Law of Sines relation when solving for side lengths is ...

a/sin(A) = b/sin(B)

Then the solution for 'a' is found by multiplying by sin(A):

a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)

We need to know the angle A. Its value is ...

A = 180° -75° -31.8° = 73.2°

Then the desired length is ...

a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)

a ≈ 21.8 cm

_____

I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.

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<h3>Which number has the value of the 8 is ten times greater than the value of the 8 in 8304?</h3>

It follows from the task content that the number which satisfies the condition that, the value of its 8 is ten times greater than the value of the 8 in 8304 is to be determined.

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