Answer:
Volume of cylinder = 360.010cubic inches
Step-by-step explanation:
Volume of a cone
V = πr^2h/3
V - volume
π - pie
r - radius
h - height
Given
V = 120 inches cubic
π - 3.142
120 = 3.142 * r^2 * h/3
120 = 3.142r^2h/3
120 = 3.142/3 * r^2h
120 = 1.0473r^2h
r^2h = 120 / 1.0473
= 114.580
Make h the subject of the formula
h = 114.580 / r^2
Gotten the value for h, substitute h into the formula for volume of a cylinder
Since the cone and the cylinder has the same base and height
V = πr^2h
h = 114.580/r^2
π - 3.142
V = 3.142 * r^2 * (114.580/r^2)
V = 3.142 * r^2 * 114.580/r^2
r^2 divides r^2
V = 3.142 * 114.580
V = 360.010 cubic inches
Answer:
34
Step-by-step explanation:
We start by working out the slope. The slope is change in y over change in x, so (66-58)/(-56)-(-42) is the slope here. 66-58 is 8, and -56-(-42) is -14. -8/14=-4/7. The equation of a line in slope-intercept form is y=mx+b where b is the y intercept and m is the slope. Since the slope is -4/7, then y=-4/7x+b. We then insert any x and y pair into this equation and solve for b, the y intercept to get it. (We can do ANY pair) So, 50=(-4/7)(-28)+b.
: 50=16+b
: 50-16=b
: 34=b
So, in conclusion, the y intercept is 34. Hope this helps!
Answer:
A maybe?
Step-by-step explanation:
by looking at the graph you can see there are two points with one being at (0, 3) (given) and the other being at (1, 1) (by looking at the graph). You can use the slope formula (y2 - y1) / (x2 - x1) which gives you the slope.
Plug Values In:
(1-3) / (1-0) = -2/1 = -2
slope of f(x) = -2
slope of g(x) = -7 (slope-intercept form y=mx+b where m is the slope and b is the y-intercept)
I'm honestly not quite sure what it means by greater than since technically the slope of f(x) is greater than the slope of g(x) but does it mean how much it's changing by in which case the sign doesn't matter. Although I'm just going to assume it purely means the value in which case A is true.
Donell practiced 7 hours and Marcus practiced 4
The slope would be:
-5--3/3-1
-2/2
-1
Slope = -1
