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denis-greek [22]
3 years ago
6

Please help me, I really need solve this.

Mathematics
1 answer:
rusak2 [61]3 years ago
4 0

Answer:

A" (-4, -7); B" (-5, -4); C" (-4, -3); D" (-3, -4)

Step-by-step explanation:

It says in the problem that polygon ABCD is translated (x - 2, y + 3), right? So we translate each point by subtracting 2 from the x-coordinates of A, B, C and D to get A', B', C' and D'. From A', B', C' and D', we rotate by 90 degrees by using the format (-y, x). The x-coordinates of A', B', C' and D' remain constant but become the new y-coordinates and the y-coordinates of A', B', C' and D' become negative and the x-coordinates for A", B", C" and D".

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A hollow ball is made of rubber that is 2 centimeters thick. The ball has a radius to the outside surface of 6 centimeters.
saveliy_v [14]

Answer:

The approximate volume of rubber used to make the ball is 636.4 cm³ ⇒ 3rd answer

Step-by-step explanation:

The formula of the volume of a sphere is V = \frac{4}{3} π r³, where r is its radius

∵ The hollow ball is shaped a sphere

∵ The ball has a radius to the outside surface of 6 centimeters

∴ The outer radius = 6 centimeters

∵ The ball is made of rubber that is 2 centimeters thick

∴ The thickness of the rubber = 2 centimeters

- The difference between the outside radius and the inside

    radius is equal to the thickness of the rubber

∴ The inner radius = 6 - 2 = 4 centimeters

The volume of the rubber = the outer volume - the inner volume

Lets calculate the outer and inner volumes

∵ V = \frac{4}{3} π r³

∴ V(inner) = \frac{4}{3} (3.14)(4)³

∴ V(inner) = 267.95 cm³

∴ V(outer) = \frac{4}{3} (3.14)(6)³

∴ V(outer) = 904.32 cm³

- By using the rule above find the volume of the rubber

∵ The volume of the rubber = 904.32 - 267.95

∴ The volume of the rubber = 636.37 cm³

- Round it to the nearest tenth

∴ The volume of the rubber = 636.4 cm³

The approximate volume of rubber used to make the ball is 636.4 cm³

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