For this case we can model the problem as a rectangle triangle.
We have the angle between the base and the hypotenuse of the triangle.
We have the height of the triangle.
We want to calculate the base of the triangle.
For this, we use the following trigonometric relationship:

Clearing x we have:
Answer:
the shortest horizontal distance that the ramp can span is:
x = 24.02 feet
Answer:
(a) II 1/1, 1/2, 1/3, 1/4, 1/5 I 2/1, 2/2, 2/3, 2/4, 2/5 I 3/1, 3/2, 3/3, 3/4, 3/5 I 4/1, 4/2, 4/3, 4/4, 4/5 I 5/1, 5/2, 5/3, 5/4, 5/5 II
(b) 9/25
(c) You would expect 2 more because 9 out of 25 you should get a 4, and the math is, 100 / 24 = 4 I 9 x 4 = 36.
Step-by-step explanation:
I took the K12 test, and don't copy paste this answer pls.
Answer:
<em>The residual value when x=2 is </em><em>-1</em>
Step-by-step explanation:
The difference between the observed value of the dependent variable and the predicted value is called the residual (e). Every data point has one residual. Lesser the residual value, better the best fit line is.
Mathematically,

Here from the graph,
the observed value is 2, so y=1
the predicted value is 0.5(2)+1 = 1+1 = 2, so 
Putting the values,

Answer:
1/5k-2/3j and -2/3j+1/5k
Step-by-step explanation:
This is because the sign of both of the terms stay the same and the fractions and variables stay the same for each term as well.