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Gemiola [76]
2 years ago
14

An official NHL hockey puck is shaped like a cylinder with a diameter of 3 inches and a volume of 7.1 cubic inches. What is the

height of the hockey puck?
Mathematics
1 answer:
Dima020 [189]2 years ago
8 0

H=1in

You would need to use the equation V= pie times radius squared times height. Since it gives you the diameter, you would need to divide 3 by 2 to get 1.5. So now you would plug in 7.1=pie×1.5(squared)×h

Now solve the equation to get 1in.

And you can check this answer by using this same equation to plug in pi×1.5 (squared)×1 and you will get 7.1 as your volume.

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Find the distance between (-5,6)and (3,2).
skad [1K]

Answer:

\displaystyle d = 4\sqrt{5}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-5, 6) → x₁ = -5, y₁ = 6

Point (3, 2) → x₂ = 3, y₂ = 2

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formulas]:                                                     \displaystyle d = \sqrt{(3+5)^2+(2-6)^2}
  2. [Distance] [√Radical] (Parenthesis) Add/Subtract:                                       \displaystyle d = \sqrt{(8)^2+(-4)^2}
  3. [Distance] [√Radical] Evaluate exponents:                                                    \displaystyle d = \sqrt{64+16}
  4. [Distance] [√Radical] Add:                                                                             \displaystyle d = \sqrt{80}
  5. [Distance] [√Radical] Simplify:                                                                         \displaystyle d = 4\sqrt{5}
6 0
3 years ago
one elvis stamp and one liberty stamp cost a total of .63. a sheet of 40 elvis stamps and 20 liberty stamps cost a total of 18.4
gregori [183]
Elvis stamps: 0.29
Liberty stamps: 0.34
6 0
3 years ago
Can someone help me with this question, please. The problem is attached.
fomenos

It is a reflection across the y axis, then a translation to the right 2 units.  


I hope this helps!  If you have more you want help with I can help.  

3 0
3 years ago
The sum of two numbers is 97. One number is 1 more than twice the other number. Find the two numbers.​
guajiro [1.7K]

Answer:

The 2 numbers are 32 and 65.

Step-by-step explanation:

x + y = 97   where x and y are the 2 numbers.

x = 2y + 1

Substituting for x in the first equation:

2y + 1 + y = 97

3y = 96

y = 32.

So x = 2y + 1 = 64 + 1 = 65.

4 0
3 years ago
Mrs. Tomas says that the number of students in her class on this week has no variability. Her student, Pierce, says that it does
user100 [1]

Answer:

Step-by-step explanation:

6 0
2 years ago
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