1.a sphere with a radius of three units
By definition, the volume of a sphere is:
![V = ( \frac{4}{3} ) (\pi) (r ^ 3) ](https://tex.z-dn.net/?f=V%20%3D%20%28%20%5Cfrac%7B4%7D%7B3%7D%20%29%20%28%5Cpi%29%20%28r%20%5E%203%29%0A)
Substituting values we have:
![V=(\frac{4}{3})(\pi)(3^3)](https://tex.z-dn.net/?f=V%3D%28%5Cfrac%7B4%7D%7B3%7D%29%28%5Cpi%29%283%5E3%29)
Rewriting we have:
2.a cone with a diameter of twelve units and a height of three units
By definition, the volume of a cone is given by:
![V = \frac{1}{3} (\pi) (r ^ 2) (h) ](https://tex.z-dn.net/?f=V%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%28%5Cpi%29%20%28r%20%5E%202%29%20%28h%29%0A)
Substituting values we have:
![V = \frac{1}{3} (\pi) ((\frac{12}{2}) ^ 2) (3) ](https://tex.z-dn.net/?f=V%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%28%5Cpi%29%20%28%28%5Cfrac%7B12%7D%7B2%7D%29%20%5E%202%29%20%283%29%0A)
Rewriting we have:
When Deshawn installs a shelf bracket, the width of the shelf that will fit without overhang will be 3 inches.
<h3>How to calculate the width?</h3>
From the complete information, the other two sides have been given as 4 inches and 5 inches.
The Pythagoras theorem will be used in this case and it goes thus:
4² + Width² = 5²
Width² = 5² - 4²
Width² = 25 - 16
Width² = 9
Width = ✓9
Width = 3
In conclusion, the width is 3 inches.
Learn more about width on:
brainly.com/question/25292087
Answer:
The Probability that the spinner landed on the colors blue and green in any order = 2/9
Step-by-step explanation:
Given - Azul spun a tri-color spinner twice.
To find - What is the probability that the spinner landed on the colors blue and green in any order?
Solution -
Given that,
A tri-color spinner spun twice
So,
The Sample Space, S = {BB, BG, BY, GB, GG, GY, YB, YG, YY}
⇒n(S) = 9
Now,
Let A be an event that the spinner landed on the colors blue and green
So,
A = {BG, GB}
⇒n(A) = 2
Now,
Probability that the spinner landed on the colors blue and green in any order = n(A) ÷ n(S)
= 2 ÷ 9
∴ we get
The Probability that the spinner landed on the colors blue and green in any order = 2/9
I think they made 9 5/6sandwiches
7 1/2= 7 3/6
2 1/3=2 2/6
2 2/6+ 7 3/6= 9 5/6
Answer:
45%
Step-by-step explanation:
40 * .45 = 18
40-18 = 22