Answer:
Either d or b and b looks like it works hte best
Step-by-step explanation:
Answer:
81%
Step-by-step explanation:

First .... the limit of the given function is NOT EQUAL to 5 (it diverges so it has no limit). There is a typo. The 14 should be positive.

The precise definition of a limit is:

Given:

⇒ 
When ε = 0.1, δ = 0.1
When ε = 0.01, δ = 0.01
These numbers are "a" and "b".
Sum is 64, so
a+b=64
Difference is 42 so
a-b=42
So you've got:

When a+b=64 and a=53 you've got:
53+b=64
b=11
So these numbers is 53 and 11.
Answer:
The ramp should be 32.9 feet longer.
Step-by-step explanation:
When the ramp is at
to the ground, its length can be determined by applying the appropriate trigonometric function. Let the length be represented by l, so that;
Sin θ = 
Sin
= 
l = 
= 
= 33.0048
l = 33.0 feet
When the angle is reduced to
, the length of the ramp would be;
Sin θ = 
Sin
= 
l = 
= 
= 65.9152
l = 65.9 feet
Change in length of ramp = 65.9 - 33.0
= 32.9
The ramp should be 32.9 feet longer.