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Gemiola [76]
3 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]3 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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-10w + 12 = -9w + 13<br> What value of w makes the equation true?
nika2105 [10]
W=-15 I hope this helped.
6 0
2 years ago
1. The company has agreed on a 9- character password format, comprised of uppercase letters, lower case letters, and digits (0-9
pochemuha

Answer: a) 1977060966, b) 146581344.

Step-by-step explanation:

Since we have given that

There are 10 numbers,

There are 26 lower case letters,

There are 26 upper case letters,

Since the first 3 characters have to be digits and next 6 can be upper or lower.

So, a) repetitions are allowed:

10^3\times (26+26)^6\\\\=10^3\times 52^6\\\\=1977060966

b) repetitions are not allowed:

^{10}P_3\times ^{52}C_6\\\\=720\times 20358520\\\\=146581344

Hence, a) 1977060966, b) 146581344.

5 0
2 years ago
One number is 6 times another number. it is also 12 more than twice the other number. Find the numbers.
stepan [7]

The numbers are 3 and 18

Step-by-step explanation:

  • Step 1: Let one number be x. Then the other number = 6x.

Also, 6x = 12 + 2x

⇒ 4x = 12

⇒ x = 3

⇒ 6x = 18

6 0
3 years ago
The sum of two consecutive integers is − 17 -17. find the numbers
UkoKoshka [18]
I think it might be -76
4 0
2 years ago
An animal shelter has 9 puppies. If the puppies are 36% of the total dog and cat population, how many dogs and cats are in the a
Luda [366]

Answer:

Let total number of dog and cat population in animal shelter be x.

As per the statement:

An animal shelter has 9 puppies.

⇒ Total number of puppies = 9

It is also given that if the puppies are 36% of the total dog and cat population.

⇒ 9 = 36\% \text{of}{\text{total number of dogs and Cat}

or

9 = \frac{36}{100} \times x

By cross multiply we get;

900 = 36 x

Divide both sides by 36 we get;

25 = x

Therefore, total number of dogs and cat population in animal shelter are 25


5 0
3 years ago
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