Answer:

Step-by-step explanation:
Assuming that the function is

First, we need to remove the parenthesis. Once this is done, we get

Now that the parenthesis are gone, we can differentiate each term. To do this, we can use the power rule, which states

This gives us

The height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.
The situation forms a right angle triangle.
<h3>What is a right angle triangle?</h3>
A right angle triangle has one of its angles as 90 degrees. The sides can be found using trigonometric ratios.
Therefore, the hypotenuse of the right triangle formed is the length of the fiberboard.
The height of the ramp formed is the opposite side of the right triangle.
Hence,
sin 19° = opposite / hypotenuse
sin 19° = h / 27
cross multiply
h = 27 × sin 19°
h = 27 × 0.32556815445
h = 8.79034017034
h = 8.79 inches.
Therefore, the height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.
learn more on right triangle here: brainly.com/question/25566098
Answer:
Part 1) The length of the longest side of ∆ABC is 4 units
Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is 
Step-by-step explanation:
Part 1) Find the length of the longest side of ∆ABC
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
The ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
x ----> the length of the longest side of ∆ABC
y ----> the length of the longest side of ∆DEF
so

we have


substitute

solve for x


therefore
The length of the longest side of ∆ABC is 4 units
Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of ∆ABC
y ----> the area of ∆DEF

we have

so


therefore
The ratio of the area of ∆ABC to the area of ∆DEF is 
It’sa tbh dbheir f the t. t t t d d b. gbfndndn d dndnd. d dnd. f d
A. A= 4
b. b= 5.6
c. c=4
d. e= 3.2