Answer:
6.25 feet.
Step-by-step explanation:
Let L be the length of the ramp in feet.
We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.
We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.
Upon substituting our given values in above formula we will get,
Therefore, the length of the ramp is 75 inches.
Let us convert the length of ramp in feet.
1 feet = 12 inches.
Therefore, the length of the ramp is 6.25 feet.
Check the forward differences of the sequence.
If 
, then let 
be the sequence of first-order differences of 
. That is, for n ≥ 1,
so that 
.
Let 
be the sequence of differences of ,
and we see that this is a constant sequence, 
. In other words, is an arithmetic sequence with common difference between terms of 2. That is,
and we can solve for 
in terms of 
:
and so on down to
We solve for 
in the same way.
Then
and so on down to
Answer:
Question 1: 15 cups
20% (pineapple juice) = 3 cups, 100/20=5, 5*3 = 15 cups
Question 2: 20 cups
25% (orange juice) + 5% = 30%
30% (orange juice) = 6 cups, 30/6=5%, 100/5=20
I can't explain the whole thing very clearly, but hope it helped
Answer:
10
Step-by-step explanation:
You have to go up 10 places to get from the first point to the second
You also have to go 1 place to the right
Since the slope is Y/X, the slope of this line is 10/1
