help ASAP Please show working​

Answer:

Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple

Step-by-step explanation:

The given side lengths are;

21, 28, and 35

From the given side lengths, the greatest common factor = 7

Therefore, we have;

3 × 7, 4 × 7, and 5 × 7

A Pythagorean triple is formed by three numbers, 'a', 'b', and, 'c', which are both positive and integers, that are related as follows;

c² = a² + b²

Therefore, for the three numbers, we get;

3, 4, and 5 is a Pythagorean triple

5² = 3² + 4²

Multiplying both sides by 7² gives;

(5)² × (7)² = (3)² × (7)² + (4)² × (7)²

By the laws of indices, (a·b)ⁿ = aⁿ × bⁿ

Therefore;

(5 × 7)² = (3 × 7)² + (4 × 7)²

Therefore, multiplying every length of the Pythagorean triple by the same whole number results in a Pythagorean triple.

(The relationship can also be shown using similar triangles, as multiplying the side lengths of a triangle by the same whole number, gives a similar triangle, having the same relationship between its sides)

Answer:

Enlightenment philosophers John Locke, Charles Montesquieu, and Jean-Jacques Rousseau all developed theories of government in which some or even all the people would govern. These thinkers had a profound effect on the American and French revolutions and the democratic governments that they produced.

I am guessing your in the same situation as me sweeping across the internet for help in our summer school history classes well I found this hope it helps

Answer:

nah man... good luck tho

Answer:

15 minutes

Step-by-step explanation:

Suly watched a film that was 90 minutes long. Then, she stopped at the [tex]\frac{1}{6}[/tex]mark. This means that we have to find [tex]\frac{1}{6}[/tex] of 90 minutes to find the amount of time Suly watched before the pizza man arrived. So therefore, the answer is 15 minutes.

Have a nice day. : )

Answer:

15 minutes

Step-by-step explanation:

Given:

Steps:

Answer:

32, 43

Step-by-step explanation:

Your welcome! :)

Answer:

The answer is 45,60.

Step-by-step explanation:

We can use a square chart to answer this question.

I will zoom in to the particular ones we need.

[tex] {6}^{2} = 36[/tex]

[tex]{7}^{2} = 49[/tex]

[tex] {8}^{2} = 64[/tex]

7 is the square root of 49.

45 lies in between 36 and 49 so its square root is more than 6 but less than 7. It is around 6.708 to the nearest thousandth.

Meanwhile, 60 lies in between 49 and 64 so its square root is more than 7 but less than 8. It is around 7.746 to the nearest thousandth.

Hence, we can say that 7 lies in between the square root of 45 and the square root of 60.

Answer:

84

Step-by-step explanation:

1 is = 84 since its a vertical angle.

5= 84 since its the corresponding angle in this tranversal.

Hoped this helped,

JoeLouis2

Answer:

The length of NK is 10 cm.

Answer:

10 cm

Step-by-step explanation:

In parallelogram, opposite sides are parallel and equal.

AB and NK are opposite sides

So, NK = AB = 10cm

Answer:

{x,y} ={10,-8}

Step-by-step explanation:

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Answer: C

Step-by-step explanation:

The solution is Option A.

The value of the equation is 6x³ - 12x² - 48x is A = 6x ( x + 2 ) ( x - 4 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 6x³ - 12x² - 48x   be equation (1)

On simplifying the equation , we get

Taking 6x as the common factor , we get

A = 6x ( x² - 2x - 8 )

On simplifying the equation , we get

A = 6x ( x + 2 ) ( x - 4 )

Therefore , the value of A is 6x ( x + 2 ) ( x - 4 )

Hence , the equation is 6x ( x + 2 ) ( x - 4 )

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Answer:

Step-by-step explanation:

[tex](\sqrt{14}-\sqrt{3})(\sqrt{12}+\sqrt{7})=\sqrt{14}*\sqrt{12}+\sqrt{14}*\sqrt{7}-\sqrt{3} *\sqrt{12}-\sqrt{3} *\sqrt{7}\\\\=\sqrt{14*12} + \sqrt{14*7}-\sqrt{3*12}-\sqrt{3*7}\\\\=\sqrt{2*7*2*2*3} + \sqrt{2*7*7}-\sqrt{3*3*2*2}-\sqrt{3*7}\\\\=2\sqrt{2*7*3}+7\sqrt{2}-3*2-\sqrt{21}\\\\= 2\sqrt{42}+7\sqrt{2}-6-\sqrt{21}[/tex]

Answer:

8.3 x 10^1

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The range of the value of numbers is 8

Step-by-step explanation:

Mathematically, the range refers to the difference between the biggest and the smallest number

From the diagram, the biggest number is 13and the smallest is 5

The difference between this two is the range

we have this as 13 -5 = 8

Answer:

Ext angles = 40 degs 360/40 = 9 sides

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

First we need to find the total number of hats 4 green hats + 3 blue hats + 1 orange hat = 8 hats P( green hat) = green / total      

                                            = 4 / 8                    

                                              = 1/2  

Answer:

These two warehouses will contain the same number of boxes in 51 days.

Step-by-step explanation:

Since the number of boxes in Warehouse "A" currently totaling 476 is increasing at a rate of 4 boxes per day, while the number of boxes in Warehouse "B" currently totaling 986 is decreasing at a rate of 6 boxes per day, To determine in how many days these two warehouses contain the same number of boxes, the following calculation must be performed:

Warehouse A = 476 + 4X

Warehouse B = 986 - 6X

476 + 4 x 50 = 476 + 200 = 676

986 - 6 x 50 = 986 - 300 = 686

476 + 4 x 51 = 476 + 204 = 680

986 - 6 x 51 = 986 - 306 = 680

Therefore, these two warehouses will contain the same number of boxes in 51 days.

Answer:

d

Step-by-step explanation:

press 60 on your casio calculator then the equal sign then shift and then 3rd row this button ".,,," which means factorise

===========================================

Explanation:

The negative out front of the parenthesis will swap the sign of each term. That means -3c^3 becomes +3c^3, or simply 3c^3. The other terms in the parenthesis are handled the same way.

After distributing the negative through, we add straight down.

The 7c^3+3c^3 becomes 10c^3

Then we have -5c^2+(-2c^2) become -7c^2

Finally, 2c+2c simplifies to 4c

Answer:

10C³-7C²+4C

7c³-(-3c³) -5c²-(+2c²) +2c-(-2c)

Step-by-step explanation:

[tex]5x + 3y = 13 \\ 7x + 8y = - 16 \\ 5x = 13 - 3y \\ x = \frac{13 - 3y}{5} \\ 7( \frac{13 - 3y}{5} ) + 8y = - 16 \\ 18.2 - 4.2y + 8y = - 16 \\ 3.8y = - 34.2 \\ y = - 9 \\[/tex]

[tex] x = \frac{13 - 3( - 9)}{5} = \frac{13 + 27}{5} = \frac{40}{5} = 8 \\ x = 8 \\ y = - 9[/tex]

Answer:

π =14 cm

Step-by-step explanation:

Given:

circumference of a circle =616 cm

pie(π)=22/7

circumference of a circle=πr^2

616=22/7 *r^2

616*7/22 =r^2

4312/22 =r^2

196=r^2

[tex]\sqrt{196}[/tex] =r

14 =r

Answer:

(47+21√5)/2

Step-by-step explanation:

Given the expression

7+3√5/7-3√5

= 7+3√5/7-3√5 * (7+3√5)/(7+3√5)

= 49+21√5+21√5+9(5)/[7(7)-9(5)]

= 49+42√5+45/49-45

= 94+42√5/4

= 2(47+21√5)/4

=(47+21√5)/2

Hence the required expression is (47+21√5)/2

Answer:

1 and 7/8 pounds

Step-by-step explanation:

There are 3 textbooks that each weigh 5/8 of a pound

3*5/8=15/8

1 and 7/8

Answer:

x = 19

<6 =  109

<7 = 109

Step-by-step explanation:

Angles 6 and 7 are vertical angles so they are equal

7x -24 = 5x+14

Subtract 5x from each side

7x-5x -24 = 5x-5x+14

2x-24 = 14

Add 24 to each side

2x-24 +24 = 14+24

2x = 38

Divide by 2

2x/2 = 38/2

x = 19

<6 = 7x -24 = 7*19 -24 = 109

<7 = 5(19)+14 = 109

Answer:

Im sorry but it is kind of confusing

Step-by-step explanation:

Answer:

[tex]x = 38.1[/tex]

[tex]y = 23.4[/tex]

Step-by-step explanation:

The given triangle is a right triangle. This is indicated by the box around one of the angles, signifying that the angle measure is (9) degrees. By its definition, a right triangle is a triangle with a (90) degree angle, thus the given triangle is a right triangle. In this situation, one can use right-angle trigonometry to find the value of the unknown side. In essence, right triangle trigonometry provides one with a series of ratios to describe the relationship between the sides and angles of the right trinagle. These ratios are the following,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Keep in mind that the way a side is named is relative to the angle it is being described from. Thus, the (opposite) and (adjacent) sides acquire different names based on the angle relative to them. However, the (hypotenuse) is the hypotenuse no matter the angle, as the hypotenuse is the side opposite the right angle.

Solve for (y) first. One is given the angle measure and the measure of the side opposite the angle measure. One is asked to find the measure of the side adjacent to the angle. Use the ratio of tangent (tan) to achieve this.

[tex]tan(\theta)=\frac{opposite}{adajcent}\\[/tex]

Substitute,

[tex]tan(52)=\frac{30}{y}[/tex]

Inverse operations,

[tex]y=\frac{30}{tan(52)}[/tex]

Simplify,

[tex]y = 23.4386[/tex]

Now solve for the hypotenuse (x). One could use the Pythagorean theorem to do this, but since this is trigonometry, one might as well use the trigonometric ratios. One is given an angle, as well as the side opposite the angle, one is asked to find the hypotenuse. To do this, one can use the trigonometric ratio of sine (sin).

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

Substitute,

[tex]sin(52)=\frac{30}{x}[/tex]

Inverse operations,

[tex]x=\frac{30}{sin(52)}[/tex]

Simplify,

[tex]x = 38.0705[/tex]

A scale of 1:5000000 means that:

This is mainly used in map or shadow etc. things.

For example in map it is given that the scale is 1mm:5000000mm, then it means that 1mm on the map is equal to 5000000mm in real life. So, you can be asked what does 5mm on map means in real life. So, you have to solve like this:

5 × 5000000 = real life size

25000000mm = real life size

In shadow like question, it can be asked that if 5000000 m of building casts a shadow of 1 m, then how much will be the shadow of a 10000000 m building. So, you have to solve it like this:

(10000000/5000000) × 1 = shadow size

=> 2 × 1 = shadow size

=> 2m = shadow size

You can tell me the specific questions so that I can help.

The scale 1:500 000 mean​s 1 unit on a map represents 500000 in real life

Scales are used to represent big or small measurements on a map or graph

The scale is given as:

1:500 000

The above means that:

1 unit on a map represents 500000 in real life

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Answer:

y = (1/2)x + 2 1/2

Step-by-step explanation:

y - 3 = (1/2)(x - 1)

Distribute the 1/2

y - 3 = (1/2)x - 1/2

Add 3 to both sides

y = (1/2)x + 2 1/2

Answer:

7.

Step-by-step explanation:

-5 x -2 = 10 (2 negatives being multiplies = positive)

Then, 10 - 3 = 7.