Answer:
36 miles
Step-by-step explanation:
His entire journey, represented with a diagram, is in the shape of a right angle triangle.
We need to first find the hypotenuse of the triangle, then, add all the sides together:
hyp² = opp² + adj²
hyp² = 9² + 12²
hyp² = 81 + 144 = 225
Find the square root of both sides:
hyp = 15 miles
Therefore, adding the three sides together:
Total distance traveled = 9 + 12 + 15
Total distance traveled = 36 miles
He would ride 36 miles altogether.
Summary of even and odd functions
A function f is even if the graph of f is symmetric with respect to the y-axis. Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f.
A function f is odd if the graph of f is symmetric with respect to the origin. Algebraically, f is odd if and only if f(-x) = -f(x) for all x in the domain of f.
From the definition itself, we see how can we test if the functions are even or odd.
- First graph (to the left)
From the graph, we see that the function is symmetric with respect to the y-axis because the left side (x<0) is a reflection (along the y-axis) of the right side (x>0), so it is an even function.
- Second graph (to the right)
From the graph, we see that the function is symmetric with respect to the origin, the left side (x<0) is a reflection (along with the origin) of the side to the right (x>0), so it is an odd function.
- First function (to the left)
The function:
is an even function because we see that:
- Second function (to the right)
The function:
is an odd function because we see that:
Summary
We have the following results:
- First function (to the left): even
- Second graph (to the right): odd
- First function (to the left): even
- Second function (to the right): odd
Answer:
761 cubic feet.
Step-by-step explanation:
Your neighbor also has a swimming pool of the same shape as yours, but it is 75% the depth.
Then, if my swimming pool's depth is H, then my neighbor's pool will have depth .
So, if my swimming pool has dimensions L ft. by W ft. by H ft., then my neighbor's pool will have dimensions L ft by W ft. by 0.75H ft.
Now, given that the volume of my pool is 1015 cubic ft.
So, LWH = 1015 ......... (1)
Now, my neighbor's pool has volume V = 0.75LWH = 0.75(1015) = 761.25 cubic ft ≈ 761 cubic ft. {Round to the nearest whole number} (Answer)
{From equation (1)}