Answer:
32.78
Step-by-step explanation:
Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.
Let's find a and b.
Finding a:
Reference angle = 30°
Opp = 12 ft
Adj = a
Using trigonometric ratio formula, we have:
tan(30) = 12/a
Multiply both sides by a
a*tan(30) = 12
Divide both sides by tan(30)
a = 12/tan(30)
a = 20.78 (nearest hundredth)
Finding b:
Reference angle = 45°
Opp = 12 ft
Adj = b
Using trigonometric ratio formula, we have:
tan(45) = 12/b
Multiply both sides by a
b*tan(45) = 12
Divide both sides by tan(45)
b = 12/tan(45)
a = 12
Length of AC = 20.78 + 12 = 32.78
For this case we have the following function:
Where,
g: number of gallons of gas
M (g): number of miles that Danny's truck travels
We know that the maximum capacity is 20 gallons of gas.
Therefore, the maximum distance the truck can travel is given by:
Thus, the domain of the function is:
The range of the function is:
Answer:
A domain and range that are reasonable for the function are:
D. D: 0 ≤ g ≤ 20
R: 0 ≤ M (g) ≤ 340
Well 40 times 6 is 240 which means that you don't have to round.
This is just like working with money in a bank account
that's earning 12% interest.
If the population is 422,000 today, and
' n ' is the number of years after today,
then
Population = 422,000 (1.12)ⁿ .
