Answer:
5.545
Step-by-step explanation:
This problem can be easily solved by using the law of cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.
in this case, the formula can be applied in the following way
a^2 = b^2 + c^2 - 2*b*c*cos(α)
Where
a,b,c are each of the sides of the triangle,
α is the angle between sides b and c
(See attached picture)
If we use the formula we get
a^2 = (9)^2 + (6)^2 - 2*(9)(6)*cos(37°)
a^2 = 81 + 36 - 86.2526
a^2 = 30.747
a = sqrt(30.747)
a = 5.545
You just have to find what x is. Pretend there isn't the signs and think of it as = signs. Then whatever u do on one side do it to all of them
Answer:
1/36
Step-by-step explanation:
Exponentiation: 1/6 ^ 2 = 12/62 = 1/36
ANSWER
1. 3391680
2. 3876
EXPLANATION
1. We want to find the value of:

This is called "12 permutation 7"
Permutation function is defined as follows:

Therefore, we have that:

2. We want to find:

This is called "19 combination 15"
Combination function is defined as:

Therefore, we have that: