.67*8.7= 5.829
Estimated is about 5.8 or 6
A dilation means that a shape is expanded or shrunk by a scale factor. The scale factor is 4, so all the points are multiplied by 4 to reflect this expansion.
A reflection over the y-axis means that the y-values in the points change their sign from positive to negative, and vice versa.
Therefore, the points will become the following:
A''(12,-12), B''(-4, -12), C''(-16,-4), D''(0, -4)
This new shape will be similar to the original shape, since it shares the same shape, but not the same size.
The answer is A.
<h3>
Answer: D) 95</h3>
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Explanation:
First, let's calculate angle BYC. This is the angle formed by the chords that subtend the arcs mentioned. This angle faces or is aimed toward the direction of the arcs. To find this angle, we'll average the arc measures like so:
angle BYC = (arcAD + arcBC)/2
angle BYC = (50+120)/2
angle BYC = 170/2
angle BYC = 85 degrees
Then we'll use the idea that angles BYC and DYC are supplementary (aka they form a straight 180 degree angle)
angleBYC + angleDYC = 180
angleDYC = 180 - angleBYC
angleDYC = 180 - 85
angleDYC = 95 degrees
which is why the answer is choice D.
Treat the ottoman as a cylinder.
area of the top surface is πr²=π*16²
The total lateral area (the side) is: π*d*h=2*16*π*(6+8)=28*16π (diameter is twice the radius, so d=2*16)
the area of the green part is: π*d*8=2*16**8π=16*16π
not including the bottom, the total area is the top plus the total side:16²π+16*28π=(16+28)*16π=44*16π
the percent of the green part is: 16²π/44*16π=16/44≈36%
Is 36% a choice?
