Answer:
The capacity of the mug is 1,527.43 cm^3
Step-by-step explanation:
In this question, we are asked to calculate the capacity of the hemisphere. This is same as calculating the volume of the hemisphere.
A hemisphere is a sharpe which is half a sphere. Meaning to get a hemisphere, we shall be diving a sphere into 2.
Mathematically, the volume of a hemisphere V = 2/3 * π * r^3
Since D = 18cm , r = D/2 = 18cm/2 = 9 cm
The volume V is thus = 2/3 * 22/7 * 9^3
V = 1,527.428 cm^ 3
To the nearest hundredth,
V = 1,527.43 cm^3
Answer:
D
Step-by-step explanation:
Area of the square ( 5.1x5.1 ) added to
Area of one triangle ( 0.5x5.1x5.95 ) times 4 (because there are four triangles)
Answer:
Hence, option D is correct (i.e. Distance is not preserved under dilation).
Step-by-step explanation:
<em>" A dilation is a transformation that produces an image that is the same shape as the original, but is a different size ".</em>
A) Angle measure:
Angle measures remains same as there is only a difference in their size the shape does not changes.
Hence angle measure is preserved.
B) Betweenness:
It is also preserved. since if any point in before dilation is between two points than after dilation it remain between them only.
C) Collinearity:
Points remain on the same line.
Hence, it is preserved.
D) Distance:
The distance is not preserved. since the length of the segment increase or decrease in dilation hence distance between two point also increase or decrease.
E) Proportionality:
In a dilation, the sides of the pre-image and the corresponding sides of the image are proportional. Hence it is also preserved.
Perimeter=(2*length)+(2*width)
length=2*w
132=(2(2w))+(2w)
132=(4w)+(2w)
132=6w
w=22
l=44
6. (5y+2)+14x=5y+(2+14x) (1point) A.associative property of addition B.associative property of multiplication C.commutative property of addition D.commutative property of multiplication 7. (m*n)*p=m*(n*p) (1 point) A. commutative property of addition B.commutative property of multiplication C.associative property of addition D. associative property of multiplication
