Answer:
17 rafts are needed for 136 people.
Step-by-step explanation:
Given:
Total number of people waiting for river raft ride = ?
Number of people the raft holds = 8
To Find:
The number of rafts needed =?
Solution:
Let X be the total number rafts needed to accommodate all the 136 people waiting for the River Raft ride.
So now X will be
X=
X=
X = 17
Basically each side of the triangle represents a square on each which then makes the hypotenuse the largest square. Now, the area of a square is formulated by (1 side)² . Pythagorean theorem says that the area of the largest square is the sum of the 2 smaller square which is why the formula is a² + b² = c².
See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer isthe hypotenuse is (3√2)/2
163.5 is how much higher the mountain is compared to new Orleans.
new Orleans is 0.5 meters below sea level, which makes it -0.5
163.5-0.5 is 163 meters