In the game of pool, the fifteen balls are packed tightly into a triangular rack. The diameter of all the balls are the same. If the height of the rack is BC = 33 cm. Find the diameter of a ball.

Answers

Answer 1

Answer: (264(3^1/2)-198)/39 = approximately 6.648 cm.
Let x be the diameter of the ball. Stacking the balls will create a kite. From there it can be derived that the height of the kite is x(3^1/2).
There will be 2 kites in the stack, and 2 half balls + increment between the ball and tip of triangle which is x/2.
Adding these altogether = 33, we get x as stated above.

Answer 2

Answer: Hello there.

In the game of pool, the fifteen balls are packed tightly into a triangular rack. The diameter of all the balls are the same. If the height of the rack is BC = 33 cm. Find the diameter of a ball.

6.648 cm.

Related Questions

a box contains 14 scarves in unique colors if 4 scarves are picked randomly from the box how many different combinations are possible if the order dosen't matter
A sphere with a diameter of 16mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. How high is the cylinder?A. 16 mm B. 8 mm C. 18 mm D. 14 mm
PLEASE HELP!!!!!!Which of the following experiments could be used to simulate an event in which the probability of success, P(success), is 0.65 and the number of successes out of 20 events is desired? A, Use a spinner that is divided into five equal parts. Choose three colors for successful; the other two colors represent unsuccessful. Spin the spinner 20 times, once for each event. B. Use a random number table consisting of the digits 0 through 9, with digits 0 through 3 representing successful and the remaining digits, 4 through 9, representing unsuccessful. Choose 20 digits, one for each event. C. Roll a 10-sided die. Let 1 through 5 represent successful and the values 6 through 10 indicate unsuccessful. Roll the die 20 times, once for each event. D. Count out 65 yellow beads and 35 pink beads. Select 20 of these beads at random. Let a yellow bead represent successful and a pink bead represent unsuccessful.
The manager of a popular restaurant wants to know what types of vegetarian dishes people prefer to eat. Which sample would provide the most accurate data?10 friends at a cookoutthe first 30 people leaving the local hamburger standa random group of 40 people on the streeta random group of 5 people at a grocery store
What is the conclusion of the following conditional?A number is divisible by 3 if the sum of the digits of the number is divisible by 3/ A. The number is odd. B. The sum of the digits of the number is divisible by 3. C. If the sum of the digits of a number is divisible by 3, then the number is divisible by 3. D. The number is divisible by 3.

S=2WH+2WL+2HL SOLVE FOR L

Answers

$2WH+2WL+2HL=S\n\n2WL+2HL=S-2WH\n\nL(2W+2H)=S-2WH\n\n\boxed{L=(S-2WH)/(2W+2H)}$

bottles of sparkling water usually cost $1.69 each. this week they're on sale for 4 for $5 . You bought one last week and one this week. Did you pay more or less for the bottle this week? How much more or less?

Answers

Generally, they are $1.69 apiece, and this week they are 4 for 5$

This means that this week, they are $1.25 apiece, meaning you spend less, by about $0.44

This weeks is cheaper by 44 cents

Answer:

You paid less for the bottle this week

We paid $0.44 less this week.

Step-by-step explanation:

How to Solve

Given: Cost of 1 sparkling bottle last week = $1.69

This week's cost of 4 bottles is $5.

To find: The cost of 1 bottle.

For finding how much we pay less this week, we have to subtract the cost of 1 sparkling bottle this week from the cost of 1 sparkling bottle last week.

A password contains exactly 5 letters how many passwords are possible if letters cannot be used more than once?A. 3120

B. 7,893,600

C. 65,780

D. 11,881,376

Answers

The first letter can be any one of the 26 in the alphabet.
   For each one ...
The 2nd letter can be any one of the remaining 25.
   For each one ...
The 3rd letter can be any one of the remaining 24.
   For each one ...
The 4th letter can be any one of the remaining 23.
   For each one ...
The 5th letter can be any one of the remaining 22.

The total number of possibilities is

   (26 · 25 · 24 · 23 · 22) = 7,893,600 .

Given the triangle below, which of the following equations correctly representsthe relationship between a, b, and c?Triangle not drawn to scale A cz B az 2abcos (90.)b a2 c2 2abcos (90.)

Answers

The equation that correctly represents the relationship between a, b, and c in the triangle is c² = a² + b² - 2ab * cos(90)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:

c² = a² + b² - 2ab*cosC

Where a, b and c are the sides, while C is the angle opposite to side c.

In the triangle ABC, C = 90°, hence:

c² = a² + b² - 2ab * cos(90)

The equation that correctly represents the relationship between a, b, and c in the triangle is c² = a² + b² - 2ab * cos(90)

Find out more on equation at: brainly.com/question/2972832

#SPJ1

Miranda wants to give her 14-year-old daughter $20,000 when she turns 18. How much does she need to put in the bank now if the interest rate is 10 percent per year?

Answers

20,000 = P ( 1 + 0.1 )^4
20,000 = P * 1.1^4
20,000 = P * 1.461
P = 20,000 : 1.461 ≈ $13,689.25
Answer: Miranda needs to put now in the bank $13,689.25

How do you solve a quadratic equation?

Answers

Oh that's easy, all you have to do is use the quadratic equation :)
ax^2+bx+c
A would be the number squared, b would be the number with just an x and c would be the single number :) Look at the attachment and you can see how to set it all up.
Hope this helps and could you mark me as the brainliest?

if in ax^2+bx+c=0 form then
use quadratic formula
x= $\frac{-b+ \sqrt{b^(2)-4ac} }{2a}$ or $\frac{-b- \sqrt{b^(2)-4ac} }{2a}$

input and subsitute and that is the answer

Other Questions

Suppose A is n x n matrix and the equation Ax = 0 has only the trivial solution. Explain why A has n pivot columns and A is row equivalent to In. By Theorem 7, this shows that A must be Invertible.)Theorem 7: An n x n matrix A is invertible if and only if A is row equivalent to In, and in this case, any sequence of elementary row operations that reduces A to In also transfrms In into A-1.

Megan has 25 phone numbers stored in her cell phone. Abby has some phone numbers stored in her cell phone. Together they have a total of 61 phone numbers stored. If n = the number of phone numbers Abby has stored in her cell phone, write a mathematical sentence to express the information above.

What is the answer to 1 plus 8

I am confused on this , I’ve tried twice and got it wrong.