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

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

x-3y=4

step-by-step e