Answer: 41.1
Step-by-step explanation:
To find the value of x, we need to use SOH-CAH-TOA. SOH-CAH-TOA is since, cosine, and tangent. The O, A, H stands for opposite, adjacent, and hypotenuse respectively.
Looking at the figure, we see 47°. The labelled angles are adjacent and the hypotenuse. Therefore, we use CAH or cosine.
[multiply both sides by x]
[divide both sides by cos(47)]

When we plug that into a calculator, we get x=41.1.
Answer:0
Step-by-step explanation:
Find the middle of the 2 numbers
Answer:
The decrease was $1755.
At the end of the year, he had $6045 in his account.
Step-by-step explanation:
Start with $7800.
Decrease of 22.5% of $7800.
22.5% of $7800 =
= $1755
The decrease was $1755.
$7800 - $1755 = $6045
At the end of the year, he had $6045 in his account.
Answer:
38.60 mph
Step-by-step explanation:
Average speed = total distance / total time
44 mph = (70 mi + 60 mi) / t
t = 2.95 hr
The time spent during the first 70 miles is:
d = rt
70 mi = (50 mph) t
t = 1.4 hr
So the time spent during the last 60 miles is:
t = 2.95 hr − 1.4 hr
t = 1.55 hr
So the average speed during the last 60 miles is:
d = rt
60 mi = r (1.55 hr)
r = 38.60 mph