Answer: Fourth option: y^2=9^2+19^2-2(9)(19) cos(41°)
The law of cosines to solve for one side is:
c^2=a^2+b^2-2ab cos C
We must know the other two sides (a and b) and the angle between these sides (angle C, the opposite to the side that we want to determine)
In this case c=y, a=9, b=19, and C=41°, then:
y^2=9^2+19^2-2(9)(19) cos (41°)
Answer:
Step-by-step explanation:
The 2 trains will pass each other in 2 hours because 80mph+60mph=140mph
You take 140x2=280
They will pass each other at 5:00
Answer:
The guaranteed mileage should be 31800 miles.
Step-by-step explanation:
Consider the provided information.
It is given that the normally distributed with a mean of 40,000 miles and a standard deviation of 4,000 miles. Also the company desires that no more than 2 percent of the tires will fail to meet the guaranteed mileage.
That means the p < 0.02
Now with the help of the table the respective Z-score value of p < 0.02 is -2.05
From the provided information mean and standard deviation is given as 
Now use the formula: 
Substitute the respective values in the above formula.




Hence, the guaranteed mileage should be 31800 miles.
Add all of the percents up and then divide by 3. You get 89.6%
Answer:
-5.65
Step-by-step explanation:
-4 1/4 - 1 2/5 = -5.65