C=10 & P=5
3C+4P=50
C+P=15
Solve
3C+4P=50
3C+3P=45
Subtract
P=5
Substitute in equation 2
C+P=15
C+5=15
C=10
By definition, the pitch of a roof is its vertical rise divided (In this case is 7 feet) by its horizontal measurement, which is called "Run" (42 feet). Therefore, you can calculate the pitch of this roof (P) by applying the following steps:
P=Tan^-1(Rise/Run) Rise=7 feet
Run=42 feet
When you substitute these values into the formula P=Tan^-1(Rise/Run), you obtain:
P=Tan^-1(Rise/Run)
P=Tan^-1(7/42) P=9.46º
<span>What is the pitch of the roof?
</span>
The answer is: The pitch of the roof is 9.46º.
Explanation:
Saving is an exercise in deferred gratification. Willingness to defer immediate gratification in favor of a long-term goal is a mark of character.
By elimination:
y = 3x - 1
y = 2x + 2
Subtract the second equation from the first
0 = x - 1
y = 2x + 2
Subtract the first equation from the second
0 = x - 1
y = x + 3
Subtract the first equation from the second again
0 = x - 1
y = 4
Subtract x from both sides of the first equation
- x = - 1
y = 4
Divide the first equation by (-1)
x = 1
y = 4
<h3>
So, the solution is x = 1 and y = 4 {or: (1, 4)}</h3>
Answer:
21 Feet Long
Step-by-step explanation:
You just reverse how you find a percentage.
1) 40 / 100 = .40
2) .40 * 15 = 6
3) 6 + 15 = 21
I did it this way because I need to find what 40% is to 15. But the trailer isn't 40% of the truck, it's 40% longer than the truck. So, we must add those 2 numbers together getting 21 Ft.