In △abc, c=28, m∠b=92°, and a=38. find b.

=48.0

Step-by-step explanation:

In this problem we can use the cosine formula to find b.

b²=a²+c²-2acCosB

Where a, b and c are the sides of the triangle.

Substituting with the values from the question gives:

b²=28²+28²-2×38×28×Cos 92

b²=2302.26

b=√2302.26

=47.98

The side b=48.0 to the nearest tenth.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

step-by-step explanation: