In this case we know the three sides of the triangle, then this is a SSS triangle (Side Side Side). To solve this case, first we must use the Law of Cosines, applied to the opposite side to the angle we want to find.
We want to find angle W, and its opposite side is XV, then we apply the Law of Cosines to the side XV:
XV^2=XW^2+WV^2-2(XW)(WV)cos W
Replacing the known values:
116^2=96^2+89^2-2(96)(89)cos W
Solving for W
13,456=9,216+7,921-17,088 cos W
13,456=17,137-17,088 cos W
13,456-17,137=17,137-17,088 cos W-17,137
-3,681=-17,088 cos W
(-3,681)/(-17,088)=(-17,088 cos W)/(-17,088)
0.215414326=cos W
cos W = 0.215414326
Solving for W:
W= cos^(-1) 0.215414326
Using the calculator:
W=77.56016397°
Rounded to one decimal place:
W=77.6°
Answer: Third option 77.6°
Answer:
bro it does not make sence
Step-by-step explanation:
Given that a particular country has an estimated 4760 nuclear weapons out of an estimated total of 15350 nuclear weapons worldwide.
To find the percentage of the nuclear weapon owned by the country we have:
Therefore the country has 31.01% of the total nuclear weapons.
ANSWER:
31.01%
Answer:
There is insufficient evidence to support the claim.
Step-by-step explanation:
What we need to do is calculate the z factor and see whether or not we can refute the manufacturer's claim.
We have to:
z = (p - pm) / [pm * (1-pm) / n] ^ (1/2)
where p is the probability of the random sample, 13% or 0.13 and pm the probability per microwave maker, that is, 10% or 0.1. n sample size which is 57.
When replacing, we are left with:
z = (0.13 - 0.1) / [0.1 * (1-0.1) / 57] ^ (1/2)
z = 0.75
This value corresponds in the normal distribution to 0.7734 (attached image), this value is very large to refute the above, it must give a value less than 0.05 to be able to be refutable.
Therefore there is insufficient evidence to support the claim.
Answer:
I think it is 0.5
Step-by-step explanation: