Answer:
29.74 degrees.
Step-by-step explanation:
Tan(theta) = opposite / adjcent.
opposite = 8
adjacent = 14
Tan(theta) = 8/14
Tan(theta) = 0.5714
theta = tan^-1(0.5714)
theta = 29.74 degrees
The rate of change for the graph would be the last option, 35. If you follow rise over run, you end up with a rise of 35 and a run of 1, or 35/1 which simplifies to 35.
I'm assuming the question is asking how tall the tree is if it has grown 2 3/4 inches.
The initial height of the tree is 74 3/8 inches and it grows 2 3/4 inches after six months. We can add these two numbers together to calculate the height of the tree now.

Since these are both mixed numbers, we must find a common denominator to add our fractions. 8 is the lowest common denominator for 4 and 8. So:

We can now add our whole numbers up (74 + 2) and add the numerators of the fractions together to get a single fraction (
).
74 + 2 = 76

Putting these two together, we get
, which is equal to
.
We can also turn this answer into an improper fraction. This is done by multiplying the whole number by the denominator and adding the numerator. So in this case:
77 x 8 = 616
616 + 1 = 617
The denominator stays the same, so our answer as an improper fraction would be
.
So the tree is
inches tall, or
inches tall.
A.) f(-0.5) = 4(-0.5) = -2
b.) f(0) = 5 - 0 = 5
c.) f(4) = |4| = 4
Answer: Yes
Step-by-step explanation:
5(-2) + 4(7) = 18
-10 + 28 = 18
28 - 10 =18
18=18