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8_murik_8 [283]
3 years ago
9

A sphere has a radius of 9 inches. What is the volume of the sphere in cubic inches in terms of π?

Mathematics
1 answer:
miv72 [106K]3 years ago
6 0

Answer: 3 054 in^2

Step-by-step explanation:

Sphere volume formula = 4/3 pi r^3

So... 4/3 pi 9^3

= 3 053.63 in^2

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Stephanie is hosting an art show and she would like to raise at least $800. She plans on
Masteriza [31]

Answer: 10, 15

Step-by-step explanation:

Given

Stephanie wants to raise at least $800

she plans on selling VIP tickets for $20 each and general admission for $40 each

suppose there are x and y tickets for VIP and general admission

\therefore x+y\leq 25\\\\\Rightarrow 20x+40y\geq 800

solving above two inequality

Stephanie must sell 10 tickets for VIP and 15 tickets for general admission

7 0
3 years ago
Use the "at least once" rule to find the probability of getting at least one 2 in four rolls of a single fair die.
Alexandra [31]

Answer:

Probability of getting at least one 2 equals 0.5177

Step-by-step explanation:

The probability of at least one success is

P=1-(1-p)^{n}

where,

'p' is probability of success of 1 trail

'n' is number of events

We have probability of getting 2 is 1/6 thus 'p' = 1/6

Applying values we get

P=1-(1-\frac{1}{6})^{4}\\\\P= 0.51177

8 0
3 years ago
DUE IN 10 MINS HELP AS SOON AS POSSIBLE ASAP ILL GIVE BRAINLIEST!!
NNADVOKAT [17]

Answer:

m = -3

Step-by-step explanation:

First, find two clear points:

(1, -2) (0, 1)

Then, use the slope formula:

m = <u>y2 - y1</u>

      x2 - x1

m = <u>1 - (-2)</u>

       0 - 1

   = <u>3</u>  = -3

     -1

m = -3

This means that the rise-over-run is -3 over 1, or 3 over -1.

Which means three down and 1 to the right, or 3 up and 1 to the left.

Slope is the steepness of the line.

5 0
3 years ago
Which of the following sets of lengths can Sean use to make a right triangle?
Aleks [24]

Answer:

{8 cm, 15 cm, 17 cm}

Step-by-step explanation:

we know that

The length sides of a right triangle must satisfy the Pythagoras Theorem

so

c^2=a^2+b^2

where

c is the greater side (the hypotenuse)

a and b are the legs (perpendicular sides)

<u><em>Verify each case</em></u>

case 1) we have

{5 cm, 15 cm, 18 cm}

substitute in the formula

18^2=5^2+15^2

324=250 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 2) we have

{6 cm, 12 cm, 16 cm}

substitute in the formula

16^2=8^2+12^2

256=208 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 3) we have

{5 cm, 13 cm, 15 cm}

substitute in the formula

15^2=5^2+13^2

225=194 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 4) we have

{8 cm, 15 cm, 17 cm}

substitute in the formula

17^2=8^2+15^2

289=289 ----> is true

therefore

Sean can make a right triangle with this set of lengths

6 0
3 years ago
The radius of the aluminum (Al) atom is 143 pm. The radius of the aluminum ion (Al3+) is 54 pm. By what percentage did the radiu
Romashka [77]

Answer:

There was 62.23% change in radius as the ion formed.

Step-by-step explanation:

6 0
3 years ago
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