Given :
Hight of the van from the ground, h = 3 feet.
The ramp into the van makes a 12° angle with the ground.
To Find :
How long is the ramp.
Solution :
Let, length of ramp is l .
So, height of ramp in terms of length is given by :

Hence, this is the required solution.
For this problem, you would have to use a system of equations. Hope this helps!
You would get a total of you count them by pairing them up. The combos are as follows:
For your answer you can count a total
1,5
1,4
1,3
1,2
2,3
2,4
2,5
3,4
3,5
4,5
(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1
-4x - 6y = -24
4x - 3y = 6
You can cancel out the x values by adding the two equations together.
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2
Solve for x now...
4x - 3(2) = 6
4x - 6 = 6
4x = 12
x = 3
Check... (x = 3, y = 2)
2(3) + 3(2) = 12
6 + 6 = 12
12 = 12 <- this works!
4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!
Answer:
Step-by-step explanation:
Ashley's page count is ...
P = 10D
Carly's page count is ...
P = 8D +40
_____
The page count is the product of the pages per day and the number of days. Since Carly started with a page count of 40, that is added to the product.