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Elena-2011 [213]
3 years ago
11

Calculate the surface area of the following shape. Round all calculations to the nearest whole number

Mathematics
1 answer:
photoshop1234 [79]3 years ago
6 0

Answer:

total surface area = 672 cm^2

Step-by-step explanation:

radius of hemisphere, r = 7 cm

radius of base of cone, r = 7 cm

height of cone, h = 22-7 = 15 cm

slant length of cone, L = sqrt(7^2+15^2) = sqrt(274)

Area of the cone

= pi r L

= pi * 7 * sqrt(274)

= 115.87 pi

= 364.02 cm^2

Area of hemisphere

= 2 pi r^2

= 2 pi * 7^2

= 307.88 cm^2

Total surface area = 364.02 + 307.88 = 671.89 cm^2

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Answer:

137.4 meters

Step-by-step explanation:

In this case, they give us the height of the lighthouse that corresponds to 50 meters and the depression angle is 20 °, in this case we can apply the tangent trigonometric function, which relates the opposite side to the adjacent side.

tan a ° = opposite / adjacent

the horizontal that is formed would be the adjacent side, therefore if we solve we are left with:

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replacing, we are left with:

hd = 50 / tan 20 °

hd = 50 / 0.3639

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the horizontal distance is equal to 137.4 meters

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3 years ago
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Simplify this algebraic expression <br> Z-4/4+8<br> A. Z-7<br> B.z+7<br> C.z+9<br> D.z-3
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I need help please.
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