Answer:
12.73 Degrees
Step-by-step explanation:
I'm going to assume some things. The height of the truck is not changing, i.e. the distance and length of the ramp are but the height stays the same.
We draw our right triangle, see photo*
We really only care about finding out what side a is so

So, since I stated that height did not change, the same process just using 32 for the hypotenuse.

Answer:
The given parameters are:
Circle X
Radius = r
Circle Y
Radius = s
Step-by-step explanation:
Answer:
k=-15
Step-by-step explanation:
Answer:
One bucket of popcorn: 6$
One box of candy: $3.75
2 buckets of popcorn: $12
3 boxes of candy: $11.25
2 buckets of popcorn and 3 boxes of candy: $23.25
Step-by-step explanation:
We can find the cost of one bucket of popcorn and one box of candy using a system of equations

We can use the elimination method and thus multiply the second equation by -4:

We can plug C into the second equation to find P:

Thus, the cost of two buckets of popcorn is 6 * 2 = $12
And the cost of three boxes of candy is 3.75 * 3 = $11.25
And the cost of both two buckets of popcorn and three boxes of candy is (6*2) + (3*3.75) = 12 + 11.25 = $23.25
Answer:
30 units
Step-by-step explanation:
If point G is on line segment FH, then point G lies between points F and H.
Segment Addition Postulate states that given 2 points F and H, a third point G lies on the line segment FH if and only if the distances between the points satisfy the equation FG + GH = FH.
By segment addition postulate,

Given
FH = 4x,
GH = x,
FG = 2x + 10,
then
