Answer:
θ ≈ 36.03°
Step-by-step explanation:
We can use tangent (opposite side / adjacent side) for this question:
tan (θ) = 8 / 11
θ = tan⁻¹ (8/11)
θ = 36.02737339
θ ≈ 36.03°
Given :
Ruth wants to buy a skateboard for $44.
She has $100 in her account. She spent $11.36 to buy stationary.
She also wants to buy some comic books for $3.72 each.
To Find :
The maximum number of comic books, n, that Ruth can buy so that she has enough money left to buy the skateboard.
Solution :
Money left after buying skateboard and stationary is :
Money left = $(100 - 11.36 - 44)
Money left = $44.64
Number of comic she can buy is :

Therefore, she can buy a maximum of 12 books.
Hence, this is the required solution.
Answer:
The value of x = 100 ft^3/ day
Step-by-step explanation:
We need to look at what amount of water comes in and what amount of water leaves
What comes in: x ft^3/ day
What leaves : 500x ft^3/ day
We start with 146 000 ft^3
Water in tank = what we start with + what comes in - what leaves
water in tank = 146000 + x*d - 500*d where d is the number of days
After 365 days , the tank has 0 ft^3 of water
0 = 146000 + x*365 - 500*365
Multiply
0 = 146000 + 365x - 182500
Combine like terms
0 = -36500+365x
Add 36500 to each side
36500 = 36500-36500+365x
36500 = 365x
Divide by 365
36500/365 = 365x/365
100=x
The value of x = 100