Answer:
x = 34.915°
Step-by-step explanation:
law of cosines
angle = arccos (b^2+c^2-a^2/2bc)
angle
The area is what is given. Find the base and height and multiply that. Since, you done that, you simplify if any fraction is there. Then, you have an answer!
Answer: 
Step-by-step explanation:
As per given , we have
n = 11

Since population standard deviation is missing, so we use t-test.
Critical t-value for 99% confidence :
[using two-tailed t-value table]
Confidence interval :

Hence, 99% confidence interval for the mean amount of time that students spend in the shower each day.= 
This is a proportion problem.
Let's make her Length x and her height 1/3 x.
1/3 x = 20 inches
x = 6 2/3 inches
Molly's height is 6 2/3 inches.
Check it.
6 2/3 x 3 = ? (change the mixed number to a fraction)
20/3 x 3 = ? (multiply)
60/3 = ? (divide)
20 inches. Yes, it checks.
Answer:
92.31 km
Step-by-step explanation:
Combined speed = 50+80
= 130 km/hour
Time = 100/130 = 10/13 hours to collide
Speed × time = distance
distance = 10/13 × 120
= 92.30769231 km