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3 years ago

Does there exist 2 distinct prime numbers such that their product is a square number?

Mathematics

1 answer:

satela [25.4K]3 years ago

5 0

Answer:

NO.

Step-by-step explanation:

If the 2 prime numbers are odd then the product cannot be a square number because the only factors are the original prime numbers. If one of the prime numbers is 2 then the product will be an even number , but again the only factors will be 2 and the other prime number.

So the answer is No.

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A 60 inch board is to be cut into three peices so that the second peice is four times as long as the first peice and the third p

Lostsunrise [7]

Answer:

The first piece is 6 inches, the second piece is 24 inches, and the third piece is 30 inches

Step-by-step explanation:

Since the second piece is 4 times longer than the first one, it will be represented by 4x.

The third piece is 5 times as long as the first one, so it will be represented by 5x.

Create an equation adding up the 3 x values up to 60:

x + 4x + 5x = 60

Add like terms and solve for x:

10x = 60

x = 6

So, the first piece is 6 inches.

Then, plug in 6 for x to find the lengths of the second and third pieces.

4(6)

= 24

The second piece is 24 inches

5(6)

= 30

The third piece is 30 inches

So, the first piece is 6 inches, the second piece is 24 inches, and the third piece is 30 inches

6 0

3 years ago

find the area of this figure. round your answer to the nearest hundredth.use 3.14 to approximate pi.

lord [1]

The area of the geometry is the sum of the area of the triangle and the semicircle will be 49.12 square feet.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The geometry is the combination of the semicircle and right triangle.

Then the area of the geometry will be

Area = 1/2 x 6 x 8 + π/8 x 8²

Area = 4 x 6 + 3.14 x 8

Area = 24 + 25.12

Area = 49.12 square feet

More about the geometry link is given below.

brainly.com/question/7558603

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5 0

2 years ago

ABC = 25x + 34<br> CBD= 11x +23<br> Find ABD CBD and ABC

mote1985 [20]

The measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.

<h3>Bisection of angles</h3>

Angles are bisected if they are divided into two equal parts.

If the angle BC bisects <ABC, hence <ABD and <DBC are equal, hence;

2(11x + 23) = <ABC

Given the following parameters

<ABC = 25x + 34

2(11x + 23) = 25x + 34

Expand

22x +46 = 25x + 34

22x-25x = 34 - 46

-3x = -12

x = 4

Determine the measure of the angles

<ABD = 11x + 23 = <DBC
<ABD = 11(4) + 23

<ABD = 44 + 23

<ABD = 67 degrees

<ABC = 2(67)

<ABC = 134 degrees

Hence the measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.

Learn more on bisection of angles here: brainly.com/question/25770607

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5 0

1 year ago

Simplify the expression.<br> (-0.75x - 5)-(3.5x + 7.4)<br> The simplified expression is

astra-53 [7]

−5−4.25⋅−7.4
Writing this to meet 20 character requirement

5 0

2 years ago

Read 2 more answers

There are 7 animals a farmer's field.

sergey [27]

Answer:

2 cows and 5 chickens.

Step-by-step explanation:

NOTE: This will be solved using simultaneous equations.

Let x = cows and y = chickens

1. form two equations

4x + 2y = 18 ... (1)

x + y = 7 .... (2)

2. make y (or x) the subject of one equation

x + y = 7

y = 7 - x ... (3)

3. Substitute (3) into (1)

4x + 2( 7 - x) = 18

4. solve for x

4x + 14 - 2x = 18

2x = 4

x = 2

5. Now substitute x value into equation (2)

x + y = 7

2 + y = 7

y = 5

∴ cows (x) = 2

chickens (y) = 5

6 0

3 years ago

Does there exist 2 distinct prime numbers such that their product is a square number?​

Does there exist 2 distinct prime numbers such that their product is a square number?