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2 years ago

Sam has three identical tennis balls with a diameter of 2.7 inches. Determine the volume of all three tennis balls?

Mathematics

1 answer:

melamori03 [73]2 years ago

3 0

Answer:

They are 30.93 in³ altogether.

Step-by-step explanation: V = 4/3 π r³

r = 2.7/2 = 1.35

π x 1.35 x 1.35 x 4/3 = 10.31 in³

10.31 x 3 = 30.93

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Find the value of the expression. 7! ÷ 3! 5,040 5,034 840 24

koban [17]

First, let's review what the "factorial operator" ! means.

5! = 5*4*3*2*1.

3! = 3*2*1

7! = 7*6*5*4*3*2*1

Then:

7! 7*6*5*4*3*2*1 7*6*5*4 5040
----- = ----------------------- = ------------- = ----------- = 5040 (answer)
3! 3*2*1 1 1

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2 years ago

PICTURE IS SHOWN Help

Mrac [35]

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3 years ago

Read 2 more answers

Simplify the expression 2p + 3/4p + 6 - p - 3 1/2

lozanna [386]

Answer:

The simplified expression is "7p/4 + 2 1/2" or "1.75p + 2.5".

Step-by-step explanation:

2p + 3/4p + 6 - p - 3 1/2
=> (2p - p + 3/4p) + (6 - 3.5)
=> 1.75p + 2.5

Hence, the simplified expression is "7p/4 + 2 1/2" or "1.75p + 2.5". Any of these would work.

Hoped this helped.

$BrainiacUser1357$

7 0

2 years ago

What is the area of the sector ?

worty [1.4K]

They forget to say "not to scale". I'm guessing this is trig because I don't see another way to do it.

Let's consider x=chord PQ first. By the Law of Cosines

$x^2 = 3^2 + 5^2 - 2(3)(5) \cos 81^\circ = 34 - 30\cos 81^\circ$

We have an isosceles triangle formed by two radii of 9 cm and x=PQ. By the Law of Cosines again,

$x^2 = 9^2 + 9^2 - 2(9)(9) \cos B$

$x^2 = 162 - 162 \cos B$

$\cos B = \dfrac{162 - x^2}{162} = 1 - \dfrac{x^2}{162}$

$\cos B = 1 - \dfrac{34 - 30\cos 81^\circ}{162}$

$B = \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ }{162} \right)$

The area of the circle is the fraction given by the angle,

$A = \dfrac{B}{360^\circ} \pi r ^2$

$A \approx \dfrac{ \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ}{162} \right) }{360} (3.142)9^2$

$A\approx 24.7474332960707$

Answer: 24.7 sq cm

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2 years ago

Which of the following describes a linear function

liq [111]

Answer:

Step-by-step explanation:

Linear function means that the y values depend upon the x values and any other numbers that are being added to it.

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3 years ago