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AnnyKZ [126]
3 years ago
14

Can a 14 inch umbrella fit inside a suitcase that has dimensions of 9" x 12"? Explain.

Mathematics
2 answers:
inessss [21]3 years ago
5 0
Yes. The umbrella is smaller than the suitcase. The suitcase is 81'^2, but the umbrella is 14
MrRa [10]3 years ago
4 0
I will assume that when you say 14", you are referring to the diameter of the open umbrella.
When an umbrella is folded down, really the only dimension we need to figure out is the distance from top to bottom - which, when spread open, is the same distance as the radius.
To find the radius: 14 divided by 2 = 7.
No matter which way you turn the umbrella - vertical, horizontal, or diagonal, 7 is smaller than 9 or 12. So yes, you can fit the umbrella in the suitcase when it is closed.
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17 less than twice a number is equal to the number. What is the number?
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A farmer plants 987 apple trees in 9 rows. Can each row have the same number of trees? How do you know?​
alexira [117]

Answer:

No,

Step-by-step explanation:

each row can not have the same number of trees as the number 987 can not be evenly divided into 9 rows.

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Which is the inverse of this matrix? A. B. C. D. E. The matrix is noninvertible.
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Answer:

A.

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Step-by-step explanation:

8 0
3 years ago
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The total cost of producing a type of tractor is given by C(x)=11000−20x+0.02x2, where x is the number of tractors produced. How
marissa [1.9K]

Answer:

Step-by-step explanation:

You need to complete the square.

C(x) = 0.02(x^2 - 1000x  ...)  + 11000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000

C(x) = 0.02(x - 500)^2 + 6000

Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000

There is a flow to this question that you may have trouble understanding.

First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.

Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.

500^2 = 250000

0.02 * 250000 = 5000

So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.

So what you have outside the brackets is 11000 - 5000 = 6000

The rest is just standard for completing the square.

5 0
2 years ago
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