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
Answer:
Your answer is 2.042
Step-by-step explanation:
If you want it simplified you can change it to
2.0/2.04.
Answer:
x = - 12, y = - 9
Step-by-step explanation:
Given
- 4 + 3i - x + yi = 8 - 6i
Simplify left side by collecting like terms and equate like coefficients with the terms on the right side, that is
- 4 - x + i(3 + y) = 8 - 6i, thus
3 + y = - 6 ( subtract 3 from both sides ) ← equating imaginary parts
y = - 9, then
- 4 - x = 8 ( add 4 from both sides ) ← equating real parts
- x = 12 ( multiply both sides by - 1 )
x = - 12
I believe the answer is D :)
D is the right option. 3 and 17 make 20. Difference is 17- 3= 14.