According to the information given, the ramp would be 50 feet high. (However, that seems really high. Did you type your problem correctly?)
If you draw a picture, you will see that you can set up a cosine ratio to solve this problem. With a 30 degree angle of depression, the angle we are going to use 60 degrees.
We can set up the following equation:
cos(60) = x / 100
0.5 = x / 100
50 = x
Since sale is 40% so the price is 60%
61*(60%) = 36.6
the tax is 5%
so the price after tax is: 36.6 * (1 +5%) = $38.43
Answer:

Step-by-step explanation:
Given:
The expression in radical form is given as:

We need to express this in fractional exponent form.
We know that,

Also, 
Now, clubbing both the properties of square root function, we can rewrite the given expression as:

So, the given expression in fractional exponents form is
.
Answer:
1
Step-by-step explanation:
m [slope] = ∆y/∆x = y₂-y₁/x₂-x₁
m [slope] = 9 - 6 / 4 - 1 = 3 / 3 = 1
The equation for this relationship is
y = x + 5
Answer:
Step-by-step explanation:
<u>Plug in x = -4 and find the value:</u>
- f(-4) = 3*(-4)² - 7(-4) - 32
- f(-4) = 48 + 28 - 32
- f(-4) = 44