Answer:
b. A = 71.6°; C = 45.40°; b =15.0
Step-by-step explanation:
The missing values can be found with the help of the Law of Cosine and properties of triangles:
Side b (Law of Cosine)



Angle A (Law of Cosine)





Angle C (Sum of internal angles in triangles)


Hence, the right answer is B.
Answer: The amount that Kristen would owe three months from now is $67.5
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or the current balance.
R represents interest rate
T represents the duration for which the account is overdue in years.
From the information given,
P = 1500
R = 18%
T = 3 months = 3/12 = 0.25 year
I = (1500 × 18 × 0.25)/100 = $67.5
So we know the tank already has 5 gallons and we need 9. This means we need 4 more gallons in order to fill up the tank.
If 1/4 gallon is being filled per minute we need to find out how many 1/4 gallons makes up 4 gallons in total.
4 of the 1/4 gallons makes up 1 whole gallon. So since we need 4 whole gallons we would need 16 of the 1/4 gallons.
This means that it will take 16 minutes for the tank to hold 9 gallons of water.
9/100, let me know if this helps.