The volume of the given shape will be equal to V=2827.42 cubic inches.
<h3>What is volume?</h3>
The volume is defined as the space occupied by the object in the three-dimensional plane. It requires three coordinates to find the volume of any object.
Here it is given in the question that:-
Radius of the semicircle=12 inches
Height of the cylinder =13 inches.
Now the volume will be calculated as:-
Total volume of the figure will be the sum of the Volume of the semicircle and the Volume of the cylinder.
= 2πr³+πr²l
= 2xπx(6)³+πx(6)²x13
=1357.16+1470.26
=2827.42 Cubic inches
Hence the volume of the given shape will be equal to V=2827.42 cubic inches.
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a. use the month for x
Income
point (1,1500) (2 3500)
slope (y2-y1)/(x2-x1) =(3500-1500)/(2-1)=2000
y-y1=m(x-x1)
y-1500 = 2000(x-1)
y-1500=2000x-2000
y = 2000x-500
Expenses
point (1,21400) (2 18800)
slope (y2-y1)/(x2-x1) =(18800-21400)/(2-1)=-2600
y-y1=m(x-x1)
y-21400 = -2600(x-1)
y-21400=-2600x+2600
y = -2600x+24000
b 2000x-500=-2600x+24000
add 2600x to each side
4600x -500 = 24000
add 500 to each side
4600x = 24500
divide by 4600
x=5.326 months
Solve the system by graphing
{2x - 4y = -4 -4y = -2x-4 y = 1/2x +1 slope is 1/2 y intercept 1
{3x - y = 4 -y =-3x +4 y = 3x-4 slope is 3 y intercept is -4
this one you have to do cannot graph here the solution is x=2, y=2
Classify the system without graphing
{y = 12 - 5x
{x - 4y = -6
independent system
dependent system is the same line and has infinite solutions
inconsistent system has no solutions (parallel lines)
Answer:
Hello Love! Answer: 1, 2
Step-by-step explanation:
dilating by 1/2 is just a fancy way of saying divide the coordinates by 2 so 2÷2 = 1 and 4 ÷ 2 = 2
Hope this helps! Was doing this is math this week!
7x^2 - 3x^2 = 4x^2
-2x+4X=4X
5+ 10 = 15
4x^2 + 4x + 15
Answer:
3.14*9^2*12/3=
Step-by-step explanation:
V=π*r^2*h/3
3