Answer: His total rental cost will be $164.75.
Step-by-step explanation:
Since we have given that
Cost of per day = $30
Cost of per mile after the first 100 miles = $0.65
According to question, he was travelling 215 miles in 3 days.
So, it becomes,

Hence, his total rental cost will be $164.75.
Answer:
The larger acute angle is equal to 50.8 degrees.
Step-by-step explanation:
Let's solve for both of the acute angles for the purpose of checking our work at the end with angle A being the top angle and angle B being the one on the base of the triangle (that's not the 90 degrees one). Determining whether to use sin/cos/tan comes from SOH-CAH-TOA.
A = cos^-1 (2√6/2√15)
However, you need to move the radical out of the denominator by multiplying √15 to the numerator and denominator. You should come up with (2√90)/30. So,
A = cos^-1 (2√90/30) = 50.768 degrees.
B = sin^-1 (2√90/30) = 39.231 degrees.
Now, we can check the work by adding the 2 angles to 90 and, if it comes to 180, it's right.
cos^-1 (2√90/30) + sin^-1 (2√90/30) + 90 = 180.
If you have any questions on where I got a formula or any step, feel free to ask in the comments!
X-intercept is 0
Y-intercept is —4
Answer with Step-by-step explanation:
The basic water balance dictates that "Amount of water flowing into the basin should be equal to the amount of water flowing out of it".
Mathematically

where
P = precipitation
I = Infiltration losses in the basin
E = Evapotranspiration
Q = is outflow from the basin
Applying the given values we get

Part b)
From the above equation we get

The evaporation in cubic meters per year is

Answer:
The angle that is supplementary to angle ∠ Z2 is 136°
Step-by-step explanation:
Given as :
∠ Z2 = 44
Let The supplementary to ∠ Z2 = ∠x
∵ For Supplementary angle , measure of Two angles = 180°
Or, ∠x + ∠ Z2 = 180°
Or, ∠x + 44° = 180°
Or, ∠x = 180° - 44°
So, ∠x = 136°
Hence The angle that is supplementary to angle ∠ Z2 is 136° Answer