Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
<em />
Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
Answer: 12s+27j≤450
Step-by-step explanation:
From the question, we are informed that Jackie has a maximum of $450 to spend on shirts and jeans and that the shirts she wants to buy are $12 each, including tax while the jeans she wants to buy are $27 each, including tax.
The inequality that represents all possible combinations of s, the number of shirts, and j, pairs of jeans, Jackie can buy will be:
= 12s+27j≤450
Answer:
7033 / 10 000
Step-by-step explanation:
x = .70330
10 000 x = 7033.0 divide both sides by 10 000
x = 7033 / 10 000
Answer:
Albar sonic?
Step-by-step explanation:
My grandpa showed me a picture of a car that looked like this. He said it was a Albar sonic.
Answer:
We conclude that segment QR is the shortest.
Hence, option B is true.
Step-by-step explanation:
First, we need to determine the missing angle m∠R
Given the triangle Δ∠PQR
m∠P = 48°
m∠Q = 83°
m∠R = ?
We know the sum of angles of a triangle is 180°.
m∠P+m∠Q+m∠R = 180°
48°+83°+m∠R=180°
m∠R = 180° - 48° - 83°
m∠R = 49°
Thus, the value of m∠R = 49°
We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Here,
m∠P = 48° is the shortest angle.
As the side QR segment is opposite the smallest angle i.e. m∠P = 48°
Therefore, we conclude that segment QR is the shortest.
Hence, option B is true.
