The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.
We want angle x, which is opposite the side of length 39.
Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x
or 1521 = 3481 + 1296 - 2(36)(59) cos x
Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x
-3256 = -4248cos x
-3256
Then: cosx = --------------- = 0.766
-4248
Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)
Answer:
Its b.
Step-by-step explanation:
m < 3 = m < 4 (vertical angles)
m < 1 = m < 5 ( alternate angles)
Therefore the triangles are similar.
Answer:
The probability of selecting a class that runs between 50.2550.25 and 51.2551.25 minutes is 0.10
Step-by-step explanation:
The Uniform Distribution, also known as Rectangular Distribution, is a type of Continuous Probability Distribution. It has a continuous random variable restricted to a finite interval and its probability function has a constant density during this interval.
The formula of probability if given by:
f(x)=
In this exercise a= 46.0 and b= 56.0
The probability of selecting a class that runs between 50.2550.25 and 51.2551.25 minutes is:
Answer:
Linear
Step-by-step explanation:
Answer:
1)y=-3+5x
2)y=5/2-1/2x
Step-by-step explanation:
for both equations
1) get your y by it self (subtract -5x and your new equation is now -y=-5x+3)
2)(reminder y can't be negative if it is negative) then you divide by -1 of both sides
3) your equation should now be y=5x-3
