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2 years ago

1997×99 in vertical order

Mathematics

1 answer:

Oksi-84 [34.3K]2 years ago

8 0

Answer:

197703

Step-by-step explanation:

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Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

2 years ago

Can someone please help meee

34kurt

Answer:

90 degrees

Step-by-step explanation:

If two angles are supplementary they are a linear pair which means they form a straight line, and if you know a straight line equals 180 degrees which is the total degrees of a triangle.

Now if you have two supplementary angles and they are congruent that means not only are they right angles but its half of 180 so you divide these pair of 2 by 180 giving you your total of 90 degrees.

Have a nice rest of your day !

3 0

2 years ago

Please Help!!

GarryVolchara [31]

Answer:

D:) (2,2,) is the Answer

Step-by-step explanation:

Solve the following system:

{X - 2 Y = -2 | (equation 1)

{3 X - 2 Y = 2 | (equation 2)

Swap equation 1 with equation 2:

{3 X - 2 Y = 2 | (equation 1)

{X - 2 Y = -2 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{3 X - 2 Y = 2 | (equation 1)

{0 X - (4 Y)/3 = (-8)/3 | (equation 2)

Multiply equation 2 by -3/4:

{3 X - 2 Y = 2 | (equation 1)

{0 X+Y = 2 | (equation 2)

Add 2 × (equation 2) to equation 1:

{3 X+0 Y = 6 | (equation 1)

{0 X+Y = 2 | (equation 2)

Divide equation 1 by 3:

{X+0 Y = 2 | (equation 1)

{0 X+Y = 2 | (equation 2)

Collect results:

Answer: {X = 2 , Y = 2

4 0

2 years ago

Read 2 more answers

the probability tree diagram shows the probabilities that a football team will win their first two games find the probability of

nevsk [136]

Answer:1/2

Step-by-step explanation:

7 0

2 years ago

Ill mark you brainlist plz help if you put something random I will report you!

Tresset [83]

Answer:

Step-by-step explanation:

180-145=35

5 0

2 years ago

Read 2 more answers

1997×99 in vertical order​

1997×99 in vertical order