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morpeh [17]
2 years ago
6

The figure is made up of a cylinder and a half sphere. What is the volume of the composite figure? Use 3.14 for Pi. Round to the

nearest hundredth.
A cylinder and half sphere. Both have a radius of 4 millimeters. The cylinder has a height of 7 millimeters.

Recall the formulas V = B h and V = four-thirds pi r cubed
Mathematics
2 answers:
Sloan [31]2 years ago
8 0

Answer:

351.68 millimeters cylinder

8 23/75 millimeters half circle

Step-by-step explanation:

IceJOKER [234]2 years ago
3 0

Answer:

351.68 millimeters for the cylinder and 8 23/75 millimeters for the half circle.

Step-by-step explanation:

Volume Cylinder = 3.14(16)(7) = 351.68

Volume Half sphere = 2/3(3.14)(4) = 8 23/75

If you want both of them together just add up the two numbers.

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Answer:

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Step-by-step explanation:

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How do you solve (7x + 5) - (3x + 2)
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Answer:

x = 0.75

Step-by-step explanation:

Simplifying

(7x + -5) + -1(3x + -2) = 0

Reorder the terms:

(-5 + 7x) + -1(3x + -2) = 0

Remove parenthesis around (-5 + 7x)

-5 + 7x + -1(3x + -2) = 0

Reorder the terms:

-5 + 7x + -1(-2 + 3x) = 0

-5 + 7x + (-2 * -1 + 3x * -1) = 0

-5 + 7x + (2 + -3x) = 0

Reorder the terms:

-5 + 2 + 7x + -3x = 0

Combine like terms: -5 + 2 = -3

-3 + 7x + -3x = 0

Combine like terms: 7x + -3x = 4x

-3 + 4x = 0

Solving

-3 + 4x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + 4x = 0 + 3

Combine like terms: -3 + 3 = 0

0 + 4x = 0 + 3

4x = 0 + 3

Combine like terms: 0 + 3 = 3

4x = 3

Divide each side by '4'.

x = 0.75

Simplifying

x = 0.75

6 0
2 years ago
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Find the value of sin 0<br>cos(90°- 0) + cos 0 sin(90°-0)​
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Step-by-step explanation:

sin \theta \: cos(90 \degree - \theta) + cos \theta \: sin(90 \degree - \theta) \\  = sin(\theta + 90 \degree - \theta) \\  = sin(90 \degree)  \\  = 1

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3 years ago
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Backgammon is a board game for two players in which the playing pieces are moved according to the roll of two dice. players win
Ivahew [28]

The rolls of the dice are independent, i.e. the outcome of the second die doesn't depend in any way on the outcome of the first die.

In cases like this, the probability of two events happening one after the other is the multiplication of the probabilities of the two events.

So, the probability of rolling two 6s is the multiplication of the probabilities of rolling a six with the first die, and another six with the second:

P(\text{rolling two 6s}) = P(\text{rolling a 6}) \cdot P(\text{rolling a 6}) = \dfrac{1}{6} \cdot \dfrac{1}{6}  = \dfrac{1}{36}

Similarly,

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Actually, you can see that the probability of rolling any ordered couple is always 1/36, since the probability of rolling any number on both dice is 1/6:

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3 years ago
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