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PSYCHO15rus [73]
3 years ago
6

Find the surface area of the hemisphere

Mathematics
1 answer:
meriva3 years ago
8 0

Answer:

\boxed{Total \:  surface \: area \: of \:  hemisphere = 339.12\:  {cm}^{2} }

Step-by-step explanation:

Radius(r) = 6 cm

Total \:  surface \: area  \: of \:  hemisphere = 3\pi {r}^{2}  \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 3.14 \times  {6}^{2}  \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 3.14 \times 36 \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \: \: \: \: \: \: \: \: \: \: \: \:   = 9.42 \times  \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \: \: \: \: \: \: \: \: \: \: \: \:  =339.12 \:  {cm}^{2}

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Step-by-step explanation:

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3 years ago
Find the measure of Angle A. (include and explanation so I could do the rest on my own, preferably :)
castortr0y [4]

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13) Angle A is 30°

14) Angle A is 45°

15) Angle A is 40°

16) Angle A is 40.5°

Step-by-step explanation:

By the angle sum theorem for the interior angles of a triangle, we have;

13) 130° + 2·x + 3·x = 180°

∴ 2·x + 3·x = 180° - 130° = 50°

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x = 50°/5 = 10°

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∠A = 30°

14) 3·x + 9 + 4·x + 9 + 78° = 180°

7·x + 18 + 78° = 180°

7·x = 180° - (18 + 78)° = 180° - 96° = 84°

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15) 90° + x + 51 + x + 61 = 180°

∴ x + 51 + x + 61 = 180° - 90° = 90°

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∠A = 40°

16) x + 79 + x + 49 + 70° = 180°

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x = -8.5°

∠A = x + 49 = (-8.5 + 49)° = 40.5°

∠A = 40.5°.

3 0
3 years ago
An opaque cylindrical tank with an open top has a diameter of 3.25 m and is completely filled with water. When the afternoon Sun
kicyunya [14]

Answer:

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Step-by-step explanation:

We must first know that the angle of refraction is given by the following equation:

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The angle (A) in the air is 22.8 °, and that of the water is unknown.

Replacing these values we have to:

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h = 10.69

Therefore the depth is 10.69 meters.

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