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3 years ago

Dot diagram to show why 9 is a square number

Mathematics

1 answer:

Tamiku [17]3 years ago

4 0

9 is a square number because when you use the dot diagram, 9 dots form a square. They are in a 3 by 3 square.

I attached how to show this.

If you have any further questions feel free to ask.

Hope this helps.

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Jeff has a box containing 26 tiles, each with a different letter of the alphabet. he randomly draws 4 letters, one at a time wit

MArishka [77]

The probability to choose letter n is $\frac{1}{26}$ . After drawing letter n there left 25 letters and the probability to choose the letter w is $\frac{1}{25}$ . After drawing two letters n and w there left 24 letters and then the probability to choose letter b is $\frac{1}{24}$ . After drawing three letters n, w and b there left 23 letters, so the probability to choose letter t is $\frac{1}{23}$ .
Using the product rule for probabilities, you can obtain that $P= \frac{1}{26} * \frac{1}{25} * \frac{1}{24}* \frac{1}{23} =0.0000027$ .

8 0

3 years ago

For exercices 45-50, between which two benchmarks ( Of 0, 1/2,1 1/2) does each fraction fall? Tell which is the nearer benchmark

OleMash [197]

45. 3/5 is nearer to 1/2
46. 1 2/6 is nearer to 1 1/2. 1 2/6 can be simplified to 1 1/3
47. 12/10 is nearer to 1 1/2. 12/10 can be simplified to 1 2/10 and further simplified to 1 1/5.
48. 2/18 is nearer to 0. 2/18 can be simplified to 1/9 or 0.11
49. 1 8/10 is nearer to 1 1/2. 1 8/10 can be simplified to 1 4/5
50. 1 12/15 is nearer to 1 1/2. 1 12/15 can be simplified to 1 4/5.

4 0

3 years ago

Read 2 more answers

A square is cut diagonally into two equal parts. If each part has an area of 50 cm2, then what is the perimeter of each part?

statuscvo [17]

Answer:

30cm

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

Hence the perimeter of the resulting triangle= 10+10+10= 30cm

6 0

3 years ago

Evaluate g(p)h(p) by modeling or by using the distributive property.

lana66690 [7]

Answer:

g(p)h(p) = = p^4 + 2p^3 - 8p^2 -2p + 4

Step-by-step explanation:

Hello!

We will use the distributive property:

g(p) h(p) = ( p - 2 ) * ( p^3 + 4p^2 - 2 ) = ( p^3 + 4p^2 - 2 ) * ( p - 2 )

The distributive property allow us to multiply the first term (p^3 + 4p^2 - 2) by every member of the second member, that is p and -2.

g(p) h(p) = ( p^3 + 4p^2 - 2 ) * p + ( p^3 + 4p^2 - 2 ) * (-2)

Now we can do the same for the two resulting terms, that is, we can multiply every term in parenthesis ( p^3 + 4p^2 - 2 ) by the term on the rigth:

( p^3 + 4p^2 - 2 ) * p = (p^3)*p + (4p^2)*p - 2*p = p^4 + 4p^3 -2p

( p^3 + 4p^2 - 2 ) * (-2) = (p^3)*(-2) + (4p^2)*(-2)- 2*(-2) = -2p^3 - 8p^2 + 4

And now we can sum both terms and add monomials with the same exponent of t. Look at the underlined terms

g(p) h(p) = p^4 + 4p^3 -2p - 2p^3 - 8p^2 + 4 = p^4 +2p^3 -2p - 8p^2 + 4

= p^4 + 2p^3 - 8p^2 -2p + 4

3 0

3 years ago

Given that 8x−7y=32 Find x when y=2 Give your answer as an improper fraction in its simplest form. please help asap :((

oksano4ka [1.4K]

Answer:

23/4

Step-by-step explanation:

The equation becomes 8x-7*2= 32

8x-14=32

+14 on both sides

8x = 46

divide by 8

x = 46/8

then simplify

x = 23/4

3 0

2 years ago