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3 years ago

6

Two 6-sided dice are rolled at the same time. How many outcomes correspond to the event that the sum of the numbers is 5?

1 answer:

Helen [10]3 years ago

5 0

In rolling a die, there are 6 possible outcomes. Each face is numbered from 1 to 6. The possible combinations of numbers so that their sum is 5 is, 1 - 4, 2 - 3, 3 - 2, 4 - 1. Thus, the answer is that they are four possible outcomes corresponding to the given event.

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Ms. Omar runs the School tennis club. She has a bin of tennis balls and rackets. For every 5 tennis balls in the bin, there are

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Answer:

Step-by-step explanation:

5:3. there are 5 balls, and 3 rackets

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3 years ago

The area of a square is 144 square meters. what is the length in meters of one side of the square?

slega [8]

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3 years ago

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Please round to nearest hundredth and give explanation.

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3 years ago

Need to find volume, step by step explanation pls <br><br><br><br>

worty [1.4K]

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

$V_1=\dfrac{2}{3}\pi r^3$

Where, r is the radius of the hemisphere.

$V_1=\dfrac{2}{3}(3.14)(6)^3$

$V_1=\dfrac{6.28}{3}(216)$

$V_1=452.16$

Volume of cylinder is:

$V_2=\pi r^2h$

Where, r is the radius of the cylinder and h is the height of the cylinder.

$V_2=(3.14)(6)^2(12)$

$V_2=(3.14)(36)(12)$

$V_2=1356.48$

We know that,

$l^2=r^2+h^2$ [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

$(10)^2=(6)^2+h^2$

$100-36=h^2$

$\sqrt{64}=h$

$8=h$

Volume of cone is:

$V_3=\dfrac{1}{3}\pi r^2h$

Where, r is the radius of the cone and h is the height of the cone.

$V_3=\dfrac{1}{3}(3.14)(6)^2(8)$

$V_3=\dfrac{25.12}{3}(36)$

$V_3=301.44$

Now, the volume of the combined figure is:

$V=V_1+V_2+V_3$

$V=452.16+1356.48+301.44$

$V=2110.08$

Therefore, the volume of the given figure is 2110.08 cubic units.

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3 years ago

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Shalnov [3]

280 + 220 = 500 is the answer

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