What is the length of bc? if your answer is not an integer, leave it in simplest radical form?

Step-by-step explanation:

We are given a right angled triangle ABC with the side AC 12 feet long while the measure of the angle B is 45 degrees.

We are to find the length of the side BC. For that, we can use the sine function:

Since sin 45 is equal to so we can substitute this value instead to get the answer in simple radical form.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.