Answer: The length of 
is 30.
Step-by-step explanation:
-According to the figure, Δ
is congruent to Δ
.
So, if the length of 
is 30, then the length of is also 30, because 
.
Answer:
18.7
Step-by-step explanation:
Answer:
1 inch
Step-by-step explanation:
The formula for the volume of a cylinder:
V = πr²h, where r=radius and h = height
Using 7.1 for 'V' and 1.5 for 'r' (1/2 of the diameter), we can fill in the values and solve for 'h':
7.1 = π(1.5)²h or 7.1 = 7.065h
h = 1 inch
Answer:
Only C is a function
Step-by-step explanation:
To test whether a graph is a function you use the vertical line test.
If you can place a vertical line anywhere on the plane (in the domain of the "function" to be tested) and it intersects the curve at more than one point, the curve is not a function.
We see with A, wherever we put the vertical line it intersects twice.
With B, it intersects infinitely many times.
C is a function because wherever we put the vertical line, it only intersects once.
D is a function because it intersects twice providing we do not put it on the "tip" of the parabola.
The mathematical reasoning behind this is that a function must be well-defined, that is it must send every x-value to one specific y-value. There can be no confusion about where the function's input is going. If you look at graph B and I ask you what is f(3)? Is it 1? 2? 3? ... Who knows, it's not well-defined and so it's not a function. However if I ask you about C, whichever input value for x I give you, you can tell me to which y-value it gets mapped/sent to.
