cylinder:
V = πr²h
V = 3.14(2)² * 3
V = 3.14(4) * 3
V = 3.14(12)
V = 37.7m³
rectangular prism:
V = lwh
V = (2.4)(9)(5)
V = 108m³
the entirety of the sculpture:
V = volume of cylinder + volume of rectangular prism
V = 37.7 + 108
<u>V = 145.7m³</u>
Answer:
The answer should be x - 36
Step-by-step explanation:
Answer:
70/5985
Step-by-step explanation:
We know that a quadrilateral needs to have four vertices (or points on the circle). There are always two ways to link the cross — horizontally or vertically. Using my limited knowledge of combinations, we know that choosing four points out of seven equals 35. Multiplying the two ways to connect those lines (again, horizontally and vertically) makes 35*2 = 70 "bow-tie quadrilaterals" that can be formed on the circle using four points. There are 5985 ways four chords can be chosen out of twenty-five chords because C(25,4) equals 5985, so the probability is 70/5985... and then we just need to simplify that fraction.
Answer:
The answer is 2.
2 since 6/4=3/2
Step-by-step explanation:
Since your relation is a direct variation then the points on your line are of the form y=kx where k is the constant of variation (also called constant of proportionality)
If y=kx then y/x=k.
So all the points in this relation since it is a direct variation will be equal to y-coordinate/x-coordinate.
So we are going to solve this proportion:
Again I put y/x from each point. They should have same ratio because this is a direct variation.
Cross multiply:
Divide boht sides by 6:
Answer:
y<= 3x-1
Step-by-step explanation:
When it comes about inequalities, keep in mind the following
the < sign means that the regions is under whatever is to other side, and the > means that the region is above whatever is on the other side of the sign
So, we see for the graphic that there is a region below a line, this suggests us that there is a < sign implied
The other thing is that there is a convention in math, is the line is graphed using a dashed line, it meas that it is not part of the region, if the line is graphed using a solid line (a continued line) then the line is inside the region, hence there is a = sign implied.
So the answer is y<= 3x-1
