What is the answer?
Answers
Answer:
5
Step-by-step explanation:
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the absolute value of a number is always positive. Therefore you cannot have an absolute value equal to a negative number.
the answer would be "no solution"
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Final answer:
To find the volume of a cone and a cylinder with the same base and height, use the formulas for volume of a cone and volume of a cylinder. Solve for r^2 * h in the cone's volume formula, then use this value in the cylinder's volume formula.
Explanation:
To find the volume of the cylinder with the same base and height as the given cone, we need to know the formula for the volume of a cone and the formula for the volume of a cylinder. The volume of a cone is given by the formula V = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height of the cone. Since the cone has a volume of 15π cubic meters, we can set up the equation 15π = 1/3 * π * r^2 * h and solve for r^2 * h. Once we have r^2 * h, we can use the formula for the volume of a cylinder, V = π * r^2 * h, to calculate the volume of the cylinder.
, let's solve the equation 15π = 1/3 * π * r^2 * h for r^2 * h:
15π = 1/3 * π * r^2 * h
Multiplying both sides of the equation by 3, we get:
45π = π * r^2 * h
Canceling out the π on both sides of the equation, we get:
45 = r^2 * h
Now we have r^2 * h, which is 45. Let's plug this value into the formula for the volume of a cylinder, V = π * r^2 * h:
V = π * 45
So the volume of the cylinder with the same base and height as the given cone is 45π cubic meters.
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The lines represented by the equations y=1/2x-1 and y+4=-1/2(x-2) are neither parallel nor perpendicular.
What is an equation?
An equation is slope-interceptthat shows the relationship between two or more numbers and variables.
The first equation y=1/2x-1 is already in the slope intercept form. The slope is, 1/2, and the y-intercept is -1.
The second equation y+4=-1/2(x-2)
From this equation, the slope is -1/2 and the y-ina tercept is -3.
When two lines ara e parallel, they have the same slope. one has slope of 1/2 and the other has slope of -1/2 thus these are not the same our lines are not parallel.
When lines are perpendicular, the slope of one is the negative reciprocal of the other which is not satisfied in the given equations.
Thus, we conclude that the lines represented by the equations y=1/2x-1 and y+4=-1/2(x-2) are neither parallel nor perpendicular.
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The first equation,
The second equation requires rearranging.
From this equation, we can see that the slope is -1/2 and the y-intercept is -3.
When lines are parallel, they have the same slope. This is not the case with these lines because one has slope of 1/2 and the other has slope of -1/2. Since these are not the same our lines are not parallel.
When lines are perpendicular, the slope of one is the negative reciprocal of the other. That is, if one had slope 2, the other would have slope -1/2. This also is not the case in this problem.
Thus, we conclude that the lines are neither parallel nor perpendicular.
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Answer: 320,172 views
Step-by-step explanation: To figure this out first multiply 50,600 by .36, finding out what the 36% increase is, the get the answer which is 68,816. Then you continue and do that six more times to get the answer of 320,172.45573 which rounded is 320,172 views.
A. 125 cu. units
B. 72s cu units
C. 365 cu. units
D. 108 cu. units
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The value of volume of the sphere shown with a radius of 3 is,
⇒ 36π units³
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Since, We know that;
volume of the sphere is,
V = 4/3π × r³
Here, We have;
r = 3
Hence, We get;
V = 4/3π × 3 × 3 × 3
= 4/3π × 27
=36π
Thus, The value of volume of the sphere shown with a radius of 3 is,
⇒ 36π units³
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