Answer:
The value of the car in very nice condition is $28,500.
Step-by-step explanation:
Consider the provided information.
In 1955 an antique car that originally cost 3,943 is valued at 64,125 if in excellent condition, winch is 2 1/4 times as much as a car in very nice condition.
The mixed fraction can be written as:

Let x is the value of car in very nice condition.



Hence, the value of the car in very nice condition is $28,500.
Answer:
:)
Step-by-step explanation:
For simplicity I will substitue
for β.

In the first step I used the identity
And I factored out 
Then it's just simple algebra to cancel till the 3rd step where we used another identity derived from the Pythagorean Theorem.

That's it!
Answer:
Step-by-step explanation:
76
Answer:
a. 1.25 laps per min
b. .8 min per lap
c. 17.6 minutes
Step-by-step explanation:
Answer:
50 degrees
Step-by-step explanation:
Okay! So first off, because this is NOT a right triangle, we can't use soh cah toa. That means we can either use the law of sines or the law of cosines.
Because we only have sides here and no angles, we are forced to use the law of cosines.
c^2 = a^2 + b^2 − 2ab cos(C)
c = 6
b = 7.5
a = 6.5
36 = 6.5^2 + 7.5^2 - 2(6.5)(7.5)cos(C)
36 = 98.5 - 97.5cos(C)
-62.5 = -97.5cos(C)
0.641 = cos(C)
angle C = cos^-1(0.641)
angle C = 50.13 which is around 50 degrees
Remember! A dumb thing i always used to do in geometry was use radians instead of degrees, be sure to use degrees here because you are looking for degrees. Radians are for things involving not degrees, but PI.