Work shown above! Answer would be C (3rd option)
What is the value of x?
2 answers:
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Answer:
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is ⇒ B
Step-by-step explanation:
In similar rectangles, their corresponding dimensions are proportional, which means =
, where L is the length and W is the width
∵ Rectangle ABCD is similar to rectangle MNOP
∴ Their dimensions are proportional
∵ The dimensions of rectangle ABCD are 6 m, 14 m
∴ L = 14 and W
= 6
∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m
∴ L = 10.5 and W
= 4.5
∵ The rectangle MNOP is the image of rectangle ABCD after dilation
→ To find the scale factor of dilation find the ratio between the
corresponding dimensions in the two rectangles (image/pre-image)
∵ =
=
∵ =
=
∴ The scale factor for the dilation is
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is
Answer:
41.67πunits³
Step-by-step explanation:
Since we are not asked what to find, we can as well look for the volume of the cone.
Find the diagram of the cone attached
Volume of the cone = 1/3πr²h
h is the height of the cone
r is the radius of the cone
Volume of the cone = 1/3π(5)²(5)
Volume of the cone= 1/3π(125)
Volume of the cone = 125π/3
Volume of the cone = 41.67πunits³
