Answer:
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
Step-by-step explanation:
The volume of the cylinder without the prism can be defined as the volume of the entire cylinder (), measured in cubic centimeters, minus the volume of the prism (), measured in cubic centimeters. That is:
(1)
(2)
Where:
- Diameter of the cylinder, measured in centimeters.
- Side of the square prism, measured in centimeters.
- Height of the square prism, measured in centimeters.
If we know that , and , then the volume of the cylinder without the prism is:
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
Answer:
k=14/5
Problem:
Three points have coordinates A (0 , 7) , B (8 , 3) and C (3k , k)
Find the value of the constant k for which C lies on the line that passes through A and B
Step-by-step explanation:
The slope of a line containing points (a,b) and (c,d) is found by computing (b-d)/(a-c). This is just the change in y divided by the change in x.
The slope of a line containing points (0,7) and (8,3) is (7-3)/(0-8)=4/-8=-1/2.
The slope of a line containing points (0,7) and (3k,k) and (8,3) is still -1/2 because it doesn't matter what two points on a line you use to calculate the slope. The slope will remain the same no matter the pair of points on the line you choose for it's calculation.
So lets pretend the question is now find the point (3k,k) such that a line with slope -1/2 goes through (3k,k) and (0,7).
We want to solve the equation:
(k-7)/(3k-0)=-1/2
Simplify denominator
(k-7)/(3k)=-1/2
Cross multiple
(k-7)(2)=(-1)(3k)
Distribute or multiply
2k-14=-3k
Subtract 2k on both sides
-14=-5k
Divide both sufes by -5
-14/-5=k
Simplifying fraction
14/5=k
Answer:
w =
Step-by-step explanation:
p = 2l + 2w Subtract 2l from both sides of the equation
p - 2l = 2p Divide both sides by 2
= w
The original number is 600 - 500 = 100. The new dot is on 100.