Answer:
r = 13
Step-by-step explanation:
Hypotenuse is the side opposite to 90 degree angle, so hypotenuse is r.
Also, with respect to the angle given, the side "12" is the opposite.
So we have opposite side to angle and we need hypotenuse. Which trigonometric ratio related opposite with hypotenuse? It is SINE.
So we can write:

Rounded to nearest whole number, r = 13
Answer:
2 
Step-by-step explanation:
First, we will turn 5 2/5 into an improper fraction:
5 * 5 = 25 + 2 = 27/5
So they worked for 27/5 days.
We want to divide the days worked by the distance to get the unit rate of distance per day:

So our answer is 2 
Hope this helps, have a great day! :D
Solving the given inequality for d, we get...
6d + 15 < 50
6d + 15-15 < 50-15 <<-- subtract 15 from both sides
6d < 35
6d/6 < 35/6 <<--- divide both sides by 6
d < 5.83
Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}
The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all
The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days
Any larger value of d is not allowed as it would make the total cost go over $50
Notice how I'm rounding down regardless how close 5.83 is to 6
If each week the tank decreased by 3 inches, in 2 weeks it would be 6 in, 3 weeks is 9 in, 4 weeks would be 12 in, and 5 weeks would be 15 in.
180 - 79
101 degrees is the answer