1.5x will be the very answer
Andrew is wanting to build a slide for his daughter's tree house in the backyard. The tree house is approximately 5 feet off the ground and he wants the slide to have a 30 degree angle with the ground. He will need to by 10 ft of sliding board.
Answer:
8 times
Step-by-step explanation:
Given
The attached histogram
Required
The number of times the team gain at least 6 yards
From the question, the entry that fall in the category of at least 6 yards are:
,
and 
Their frequencies are:
5, 2 and 1 respectively
So, the number of times is:


Multiply each term by
b
and simplify.
a = cb
Rewrite the equation as
cb = a
Divide each term by
c
and simplify.
b = a/ c
First, rewrite the equation so that <em>y</em> is a function of <em>x</em> :

(If you were to plot the actual curve, you would have both
and
, but one curve is a reflection of the other, so the arc length for 1 ≤ <em>x</em> ≤ 8 would be the same on both curves. It doesn't matter which "half-curve" you choose to work with.)
The arc length is then given by the definite integral,

We have

Then in the integral,

Substitute

This transforms the integral to

and computing it is trivial:

We can simplify this further to
