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Mashutka [201]
3 years ago
10

Use a net to find the surface area of the open cylinder with only one base. Use 3.14 for pi.

Mathematics
1 answer:
Mandarinka [93]3 years ago
3 0

Answer:

251.20 cm square

Step-by-step explanation:

As given in figure

height of cylinder = 2 cm

radius of cylinder = 8 cm

lateral surface area of cylinder is given by = \pi r l

where r is the radius and l is the height

Therefore, lateral surface area of given cylinder

\pi r l = 3.14*8*2 = 50.24

area of base is give by \pi r^2

since there is only one base area of that base

= \pi r^2 = 3.14*8^2 = 3.14*64 = 200.96

Thus,

Total surface area of open cylinder = 50.24 + 200.96 = 251.20 cm square

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Answer:

Since 81° is less than 90, we can express this in terms of a cofunction. sin(θ) = cos(90 - θ) sin(81) = cos(90 - 81) sin(81) = cos(9)

Step-by-step explanation:

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2 years ago
There are two traffic lights on Broadway. The probability of being stopped at the first light is
kiruha [24]

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

There are three possibilities we need to consider:

Being stopped at both lights

Being stopped at neither light

Being stopped at exactly one light

The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.

Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28

The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18

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6 0
3 years ago
A rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water. If 850 cu
makkiz [27]

The new height of the water is = 9.34 inches (approx)

Step-by-step explanation:

Given, a rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water.

Let the new height of water level be x inches.

The volume of the container = (20×16×12) cubic inches

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According to the problem,

3840 - (20×16×x) = 850

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⇔-320x =850-3840

⇔-320 x = -2990

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The new height of the water is = 9.34 inches (approx)

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3 years ago
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Answer:

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