Answer:
C. 
Step-by-step explanation:
We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.
Law of cosines:
, where, a, b and c are sides opposite to angles A, B and C respectively.
Upon substituting our given values in law of cosines, we will get:








Now, we will use inverse cosine or arc-cos to solve for angle Z as:



Therefore, the measure of angle Z is approximately 51 degrees.
Answer:
1st pic: Answer is 3
2nd pic: Answer is 5
3rd pic: Answer 4
Step-by-step explanation:
Answer:
D) v = -2,000y + 20,000.
Step-by-step explanation:
The question gives a linear relationship between two quantities. This means that the relationship between the initial value of the car and the amount it depreciates each year is proportional, or constant. Since the value of the car decreases by 10% of its initial value each year, then each year the value will decrease by 10% of 20,000 or 0.10 x 20000 = $2,000. Since we know the value is decreasing each year, this amount would be subtracted from the initial value of $20,000. So, D) v = -2,000y + 20,000 would be the only equation that represents this scenario.
Answer:
f(2) = - 1 and f(4) = 3
Step-by-step explanation:
To evaluate f(2), substitute x = 2 into f(x), that is
f(2) = 2(2) - 5 = 4 - 5 = - 1
To evaluate f(4), substitute x = 4 into f(x)
f(4) = - 3(4) + 15 = - 12 + 15 = 3
75÷25%
25%=0.25
75÷0.25
=300
Your answer is 300