Answer:
Step-by-step explanation:
If the radius of a cylinder is increased by 20% and its height is decreased by 10%.
To find : What is the percentage change in the volume?
Solution :
Let r be the radius of cylinder is increased by 20%
i.e,
The old radius is 5 and new radius is 6.
Let h be the height of cylinder is increased by 10%
i.e,
The old height is 10 and new height is 11.
The volume of old cylinder with r=5 and h=10
The volume of new cylinder with r=6 and h=11
Volume change is
Percentage change is
Therefore, The percentage change in the volume is 6.4%.
4.0
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Answer:
• It is possible to divide the seventh graders into teams of equal sizes.
,
• 13 students should be on each team.
Explanation:
The seventh grade of Wilson consists of three classes; one with 28 students, one with 29, and one with 34. Therefore, the total number of students in seventh grade is:

He wants each team to have between 4 and 8 students.

Therefore:
• It is possible to divide the seventh graders into teams of equal sizes.
,
• 13 students should be on each team.
Answer:
A Rigid Motion is a transformation that preserves length (distance preserving) and angle measure (angle preserving). Another name for a rigid motion is an isometry. A direct isometry preserves distance and orientation. Translations and Rotations are direct isometries.
Step-by-step explanation:
Given data:
The first set of equations are x+y=4, and x=6.
The second set of equations are 3x-y=12 and y=-6.
The point of intersection of first set of te equations is,
6+y=4
y=-2
The first point is (6, -2).
The point of intersection of second set of te equations is,
3x-(-6)=12
3x+6=12
3x=6
x=2
The second point is (2, -6).
The equation of the line passing through (6, -2) and (2, -6) is,

Thus, the required equation of the line is y=x-8.
That means legthn+lgnth +width+width
that is the perimeter formula for a rectangle or the measure around a rectangle
it can be written as (l-legnth)
perimiter=2l+2w or
p=2l+2w or
p=2(l+w)