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Oksi-84 [34.3K]
3 years ago
9

What is the volume of a hemisphere with a radius of 3.4 cm, rounded to the nearest tenth of a cubic centimeter

Mathematics
1 answer:
vredina [299]3 years ago
6 0

Answer: 82.28 cm^3

Step-by-step explanation:

Formula: V=\frac{2}{3}\pi r^3

V=\frac{2}{3}(3.14)(3.4)^3\\ V=82.28cm^3

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Given a triangle ABC at A = ( - 1, 3 ) B = ( 1, - 1 ) C = ( 2, 2 ) and if the triangle is rotated 90 ° clockwise about the point
lidiya [134]

Answer:

The coordinates of A' are (6,6).

Step-by-step explanation:

It is given that in triangle ABC, A = (-1, 3), B = (1, - 1) and C = (2, 2).

If a point is rotated 90 ° clockwise about the point ( a,b ), then

(x,y)\rightarrow ((y-b)+a,-(x-a)+b)

It is given that the triangle is rotated 90 ° clockwise about the point ( 4, 1 ). So, a=4 and b=1.

(x,y)\rightarrow ((y-1)+4,-(x-4)+1)

(x,y)\rightarrow (y+3,-x+5)

The coordinates of A are (-1,3), So, the coordinates of A' are

A(-1,3)\rightarrow A'(3+3,-(-1)+5)

A(-1,3)\rightarrow A'(6,6)

Therefore the coordinates of A' are (6,6).

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Step-by-step explanation:

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