Find b, given that angle A= 50°, angle C=55°, a=30. (Round to the nearest hundredth.)

Step-by-step explanation:

Since we are given angles and sides, we can solve for what we are looking for by using the Law of Sines.  Since we are looking for side b, and we are given both side a and angle A, the Law of Sines for us looks like this:

Since b is our unknown, we need angle B in order to use the Law of Sines.  We know A and C, so we can find B by using the Triangle Angle-Sum Theorem:

180 - 50 - 55 = 75

Angle B = 75.  Therefore,

Cross multiply to solve for b:

30sin50 = bsin50 and

b = 37.83

no

step-by-step explanation:

answer

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629