Answer:
See below.
Step-by-step explanation:

Convert the cotangent to cosine over sine:

Use the cofunction identities. The cofunction identities are:

To convert this, factor out a negative one from the cosine and sine.

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

A-2b=-10
add 2b on both sides
a=2b-10
add 10 to both sides
a+10=2b
divide both sides by 2
a/2+10/2=a/2+5=b
b=5+a/2
Answer:
$6
Step-by-step explanation:
In order to find the amount of the tip that T.J. and Lindsey will leave for their waiter, you have to multiply the lunch cost for the percentage they want to leave as a tip for their waiter:
Lunch cost=$30
Percentage they want to leave as a tip= 20%
$30*20%=$6
According to this, the answer is that the amount of the tip is $6.
Answer:
n=13
Step-by-step explanation:
24=3(n-5)
24=3n-15
-3n=-24-15
-3n=-39
n=13