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:

The attached picture above have the process of answering the question.
Answer:
28m
Step-by-step explanation:
2x+x=42
3x=42
x=14
However, since the length of the rectangle is twice the width, we'll need to multiply it by 2.
So: 14 times 2=28
Answer:
Answer Below
Step-by-step explanation:
a. 2L+2W≥40
thats equal to 12+2W≥40 since it says the length is 6
That means 2W≥28
That means width ≥ 14
so the width can be 14 or greater
b. Smallest possible width is 14 because the inequality
Given:
Interest = 4,275
interest rate = 2.5%
term = 18 years
Principal = ?
Interest = Principal * interest rate * term
4,275 = P * 2.5% * 18
4,275/ (2.5% * 18) = P
4,275 / 0.45 = P
9,500 = P
Your mom deposited 9,500 when you were born.