In the coordinate plane, what is the length of the line segment that connects points at (5,4) and (-3,-1)
1 answer:
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Answer:
The correct answer is the expression of the volume of the sphere is ×π×
and the expression of the volume of the leftover space is π×
×16 -
×π×
.
Step-by-step explanation:
Height of the given cylindrical can = 16 cms.
Diameter of the given cylindrical can = 16 cms.
Now a spherical ball just fits in this given cylindrical can. Thus the diameter of the ball is equal to the diameter of the can, equal to 16 cms.
Thus the expression of the volume of ball = ×π×
=
×π×
Expression of the volume of the cylindrical can is π×× h = π×
×16
Expression of the leftover volume would be volume of can minus volume of the ball = π××16 -
×π×
.
Answer:
i) The value of x is 3.
ii) TE = 20cm
RN = 20cm
Step-by-step explanation:
According to the properties of rectangles,
The diagonals of rectangles are equal and bisect each other at 90°.
As per this,
OR = OT
TE = 2OT
TE = 2(3x + 1)
= 6x + 2
= 6(3) + 2
= 18 + 2
= 20
RN = 2OR
RN = 2(2x + 4)
= 4x + 8
= 4(3) + 8
= 12 + 8
= 20