Answer:
sin^2(θ)+cos^2(θ)=1
Step-by-step explanation:
We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.
To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ
Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.
Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.
<h3>
Answer: 20% discount</h3>
Work Shown:
amount saved = 84-67.20 = 16.80 dollars
Divide this over the original larger price to get 16.80/84 = 0.20 = 20%
Note how 20% of 84 = 0.20*84 = 16.80 to help check the answer.
Or we can say 0.80*84 = 67.20 which also helps confirm the answer.
The 0.80 is from the fact that you save 20% but still have to pay the remaining 80%
Answer:
m=22.5
Step-by-step explanation:
m is proportional to n means there is some constant k such that:
m=kn
If m=5 when n=4 then we have the following equation to solve for our constant k:
5=k(4)
5=4k
Divide both sides by 4:
5/4 =k
So k=5/4 no matter what (m,n) pair they give you where the equation is m=kn.
m=(5/4)n
What is m when n=18?
m=(5/4)(18)
m=(5/2)(9)
m=45/2
m=22.5
Answer:
922
Step-by-step explanation:
(5x22)x2=220
(13x5)x2=130
(22x13)x2=572
220+130+572=922
