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3 years ago

The ping pong ball is a sphere and has a volume of 1.77in. What is the diameter of the ping pong ball?

Mathematics

1 answer:

frez [133]3 years ago

8 0

Answer:

d =1.501060821 in

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The volume is 1.77 in^3

1.77 = 4/3 (3.14) r^3

1.77 = 4.1866666 r^3

Divide each side by 4.18666666

1.77/4.18666666 = r^3

.422770701 = r^3

Take the cube root of each side

(.422770701)^(1/3) = (r^3)^1/3

.75053041 = r

But we want to find the diameter. The diameter is twice the radius.

d= 2r

d = 2(.75053041)

d =1.501060821 in

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Alecsey [184]

Answer:

Step-by-step explanation:

You can start this in may ways but let's start by isolating one of the parenthesis:

x (x² - 5) = - (x - 3)

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x³ - 5x + x = 3

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2 years ago

Simplify (1-√3)(⅓+√3) leaving your answer in the form p+q√3

Mars2501 [29]

Answer:

$\frac{-8 +2\sqrt{3} }{3}$

Step-by-step explanation:

When working with surds we need to take note of the roots present there.

To expand this equation we can do it the following way noting that √3 X √3 = 3

<em>Expanding (1-√3)(⅓+√3)</em>

1 X 1/3 = 1/3

1 X √3 = √3

-√3 X 1/3 =-√3/3

√3 X √3 = 3

hence, expanding the equation, we have

1/3 + √3 -√3/3 + 3

We can simply group the like terms and add them up.

[1/3 +3] +[√3-√3/3]

10/3 + $\frac{2\sqrt{3} }{3}$

= $\frac{-8 +2\sqrt{3} }{3}$

8 0

3 years ago

It is currently 0 degrees outside and the temperature is dropping 4 degrees every hour. The temperature after h hours is -4h. Ex

Ymorist [56]

Answer:

-4x3.5=-14

Step-by-step explanation:

divide -14 by -4 wich = 3.5

6 0

2 years ago

Read 2 more answers

in a class of 40 students, 24 are over the age of 21 and 16 are 21 or younger. Biff is over the age of 21. A student is selected

LenKa [72]

Answer:

3. 60% probability the student is over the age of 21.4

4. 4.17% probability Biff was selected if you know the student selected was over the age of 21.

5. 0% probability Biff was selected if you know the student selected was 21 or younger

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcoes.

In this question:

40 students

24 over the age of 21.

16 are 21 or younger.

3. Find the probability the student is over the age of 21.

24 of the 40 students are over the age of 21.

24/40 = 0.6

60% probability the student is over the age of 21.4

4. Find the probability Biff was selected if you know the student selected was over the age of 21.

24 students over the age of 21, one of which is Biff.

1/24 = 0.0417

4.17% probability Biff was selected if you know the student selected was over the age of 21.

5. Find the probability Biff was selected if you know the student selected was 21 or younger

Biff is not 21 or younger, he is over 21, so there are no desired outcomes.

So, 0% probability Biff was selected if you know the student selected was 21 or younger

8 0

3 years ago

Find the missing number so that the equation has no solutions. 5x+1-3x=_x+13

joja [24]

Answer:

You may just add 2 in the spot. Moreover, you get no solution.

Step-by-step explanation:

Hope this helped!

7 0

3 years ago