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Mice21 [21]
3 years ago
5

What is the length of the diagonal of the screen,in feet?

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0

Answer:

12.2

Step-by-step explanation:

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Answer: 4.5y

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The nth term of a sequence is 3n2-1
maksim [4K]

Answer: The common number is 26.

Step-by-step explanation:

We know that the n-th term of a sequence is:

aₙ = 3*n^2 - 1

And the n-th term of another sequence is:

bₙ = 30 - n^2

Remember that in a sequence n is always an integer number.

We want to find a number that belongs to both sequences, then we want to find a pair of integers x and n, such that:

aₙ = bₓ

This is:

3*n^2 - 1 = 30 - x^2

Let's isolate one of the variables, i will isolate n.

3*n^2 = 30 - x^2 + 1 = 31 - x^2

n^2 = (31 - x^2)/3

n = √( (31 - x^2)/3)

Now we can try with different integer values of x, and see if n is also an integer.

if x = 1

n = √( (31 - 1^2)/3) = √10

We know that √10 is not an integer, so we need to try with another value of x.

if x = 2:

n = √( (31 - x^2)/3) = √(27/3) = √9 = 3

Then if we have x= 2, n is also an integer, n = 3.

Then we have:

a₃ = b₂

The common number between both sequences is:

a₃ = 3*(3)^2 - 1 = 26

b₂ = 30 - 2^2 = 26

6 0
3 years ago
Mary's garden contains roses, daffodils, and tulips. About 3/5 of the flowers are tulips. What percent of the flowers in Mary's
vichka [17]
C; a percent is out of 100. All you have to do is change the denominator into 100. Since 5x20=100, you have to multiply 3/5 top and bottom by 20. Your product should be 60.
3 0
3 years ago
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Answer:

Its an irregular Quadrilateral shape

Step-by-step explanation:

It that because a regular Quadrilateral shape had all equal side lengths. Irregular quadrilateral shape is the opposite of this. Sorry I couldn’t make it in time.

6 0
3 years ago
Please hurry..! A storage tank holds 235,500 in^3 of a chemical. The chemical is dispensed to completely fill 25 identical cylin
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"The chemical is dispensed to completely fill 25 identical cylindrical containers" 
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"each with a radius of 5 in" 
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</span><span>235,500 /25 = 9420 is the volume of 1 cylinder.

</span>h <span>=</span><span>V/</span><span>π</span><span>r</span><span>2</span><span>

</span>h ≈119.94
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3 years ago
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