Use the Pythagorean theorem to find x, in simplest radical form

Use The Pythagorean Theorem To Find X, In Simplest Radical Form

Answers

Answer 1

Answer:

[tex]4\sqrt{21}[/tex]

Step-by-step explanation:

Pythagorean theorem is [tex]a^{2} +b^{2} =c^{2}[/tex].

Which in this case:

'c' is hypotenuse. (hypotenuse = 20)

'a' and 'b' are the other sides. (a = x, b = 8)

[tex]a^{2} +b^{2}= c^{2}[/tex] [tex]x^{2} +8^{2} =20^{2}[/tex] [tex]x^{2} + 64 = 400[/tex] [tex]x^{2} = 336[/tex]

Now we should just take square root from the both sides.

and the answer will be [tex]\sqrt{336}[/tex] or [tex]-\sqrt{336}[/tex], but a side of a triangle can not be a negative number! so the answer will be [tex]\sqrt{336}[/tex].

As you see [tex]\sqrt{336}[/tex] is not the simplest radical.

We can write [tex]\sqrt{336}[/tex] as [tex]\sqrt{16 * 21}[/tex].

And from the laws of radical we can write [tex]\sqrt{16*21}[/tex] as [tex]\sqrt{16} * \sqrt{21}[/tex].

[tex]\sqrt{16} * \sqrt{21} = \sqrt{16}\sqrt{21} = 4\sqrt{21}[/tex]

I hope it helps you. Please choose my answer as the brainliest.


Related Questions

-3 (x + 2) + 9 + 7x = 4x + 5 – 2

Answers

Step-by-step explanation:

- 3 ( x + 2 ) + 9 + 7x = 4x + 5 - 2

- 3x - 6 + 9 + 7x = 4x + 5 - 2

- 3x + 7x + 9 - 6 = 4x + 5 - 2

4x + 3 = 4x + 3

Solve for y.
6x + y = 10

Answers

[tex]6x + y = 10 \\ y = 10 - 6x \\ y = 10 - 6x,x∈ℝ[/tex]

Solved✔︎

Answer:

y = 10 - 6x

Step-by-step explanation:

6x + y = 10

=> y = 10 - 6x

Slope intercept form

Answers

Answer: -2/6

Step-by-step explanation:


1. The ratio of red marbles to blue marbles
in a bag is 2 to 5. If there are 60 more
blue marbles than red marbles in the
bag, how many marbles are there all
together?

Answers

Answer:

84

Step-by-step explanation:

Cross multiply to solve for the red marbles

Let x = the number of red marbles

2/5 = x/60

Cross multiply

2(60)/5 = x

x = 24 which is the number of red marbles.

60 blue plus 24 red = 84 total marbles.

Click all of the multiples of 3 that are greater than 3 shown in the table. Don’t worry if a number has already been crossed out, go ahead and click it if it is a multiple of 3 that is greater than 3. (Choose 5)

12
6
15
7
18
9

Answers

Answer:

12 15 18 9 7

Step-by-step explanation:

Answer:

12, 6, 15, 18, 9

Step-by-step explanation:

Multiples of 3 greater than 3 are:

12 = 3*46 = 3*215 = 3*518 = 3*69 = 3*3

The only odd number is 7

Use the distributive property to remove the parentheses.
-6(-v+2y-5)

Answers

Answer:

6v-12y+30

Step-by-step explanation:

Hope this helps:)

please help asap!!! i really don't understand this. i would like an explanation on how you got the answer. NO LINKS PLEASE!!!!!!

Answers

Answer:

Step-by-step explanation:

One of the things you should keep in mind about parallel lines is that there are 8 angles in this configuration.

4 are equal to one value

and 4 other angles which are the supplements to the first four. If you know the value of one of the 8 angles, you know the value of the other seven.

So angles (8) 6 4 and 2 are all 82 degrees.

Angles 1 3 5 7 and all equal to 180 - 82 = 98

Number 8 is given as 82. It's the red number.

number 6 is vertically opposite number 8 so those two are equal

Number 6 is an alternate interior angle to 4. Those two are equal.

Number 2 is number 4s vertically opposite angle. The others are all done somewhat the same way.

Someone help please thank you

Answers

Answer:

The answer is C which is -3

Step-by-step explanation:

what is 1.5 as a ratio plz help ​

Answers

Answer:

1.5 as a fraction is written as 3/2

Step-by-step explanation:

The ratio 1.5 which is read "1.5 to 1" means that the length is 1.5 times the width. So, for example if your paper is 2 inches in width then the length is 1.5 × 2 = 3 inches.

Find the y-intercept and the slope of the line.
- 7x - 4y = -20

Answers

Slope is 7/4, aka 1 3/4.

Y intercept is 5

Answer:

y int.=5

slope=-7/4

Step-by-step explanation:

-7x-4y=-20

+7x       +7x

-4y=7x-20

/-4 /-4 /-4

y=-7/4x+5

The graph of y=f(x) is shown. Draw the graph of y=f(-x).

Answers

Reflect points on the graph over the y-axis

Four less than the product of three and n

Answers

Answer:

Statement should be : "4 less than the product of 3 and some number x is y" => 3x-4 = y

Step-by-step explanation:

Let "Four less than the product of three and n"

From the given statement we get an algebraic expression 3x - 4 = y.

What is an algebraic expression?

An algebraic expression in mathematics exists as an expression that stands created up of variables and constants, along with algebraic operations like addition, subtraction, etc. x exists a variable, whose value exists unspecified to us and can take any value.

An algebraic expression exists as an indication acquired by a finite number of the fundamental operations of algebra upon characters symbolizing numbers.

Let "Four less than the product of three and n". From the given statement we get an algebraic expression 3x - 4 = y.

To learn more about algebraic expression

https://brainly.com/question/19864285

#SPJ2

(8p - 2) (6p+2)

help plz

Answers

Answer:

[tex]48p^2+2p-4[/tex]

Step-by-step explanation:

We can use the FOIL method to expand two multiplied binomials. It states that [tex](a+b)(c+d)=ac+bc+ac+bd[/tex]. The FOIL method stands for First(first terms) outer(outer terms) inner(inner terms) last(last terms).

So, we can expand our binomials now!

[tex](8p-2)(6p+2)=(8p)(6p)-2(6p)+(8p)(2)-2(2)=48p^2-12p+14p-4=\boxed{48p^2+2p-4}[/tex]

solve for y
110
75
100
55

Answers

They answer is 100 (can you please hit “thanks”

Answer:

100

Step-by-step explanation:

because a straight line equals 180 degrees. 25 plus 55 is 80. 180 minus 80 is 100, so the answer is 100 degrees

The larger of two consecutive integers is 13 greater than four times the smaller. Find the integers. -3, -4 7, 8 3, 4

Answers

Answer:

The integers are -3 and -4.

Step-by-step explanation:

Two consecutive integers are an integer and the one just greater or just less than the4 first one, such as 5 and 6, or -8 and -9.

If the smaller integer is x, then the next greater integer is x + 1.

x + 1 = 4x + 13

-3x = 12

x = -4

x + 1 = -3

Answer: The integers are -3 and -4.

Check:

Smaller integer: -4

Larger integer: -3

4 times smaller integer = 4 * (-4) = -16

13 greater than 4 times smaller = -16 + 13 = -3 = greater integer

-3 and -4 is the correct answer.

Answer:

-3 and -4

They are indeed correct.

Please help me need help.

Answers

Answer:

On the image.  

Step-by-step explanation:

On the image. Hope this helps!

According to the U.S. Geological Survey, there are over 300,000,000 cubic miles of water on the planet. How this number represented in scientific notation

Answers

Answer:

3.00x10^8

Step-by-step explanation:

So you want to make sure the number before the x10^ is beween 10 and 0 not including 10 and 0. So 1.00-9.99.

Move the demcil place up in 300,000,000 till your first number is between 1 and 9.99.

Then count how many places you moved it up, in this case 8

Add the amount of times you moved up to the x10^(in this space).

you answer is now 3.00 plus the x10^8

3.00x10^8

Please help me solve this problem

Answers

Answer:

(4x+2)*2+(6x)*2=84feet

8x+12x+2=84

20x+2=84

20x=82

x=4.1

18.4*24.6=452.64

ans:452.64

Pleaseeseeeee help with question 7

Answers

a and d both have -8 at x=0 so they both have the same y intercept

find the slope of the line

Answers

The slope is -1/2 so answer b.

The area of a square is 676 square feet. what is the perimeter of the square?

Answers

Given : The area of a square is 676 square feet. what is the perimeter of the square?

Solution :

Area of Square = 676 ft²

Let's assume the constant multiple be α (alpha)

Length × Breadth = 676

α × α = 676

α² = 676

α = √676

α = 26

So, now getting perimeter

As we know that, Perimeter = 4(Side)

Perimeter = 4(26)

Perimeter = 104

Henceforth, the perimeter of square is 104 ft

Help im stuck of this assignment

Answers

Answer:

48÷8, -36÷-12

Step-by-step explanation:

You are given a speed in miles per minute. Which conversion factor would you use to express the speed in feet per minute?1 mile Over 5280 feet60 minutes Over 1 second5280 feet Over 1 mile1 minute Over 60 seconds

Answers

Answer:is it mile 1 or 1 mile?

Step-by-step explanation:

HELP PLEASEEEE ASAP !

Answers

Answer:

x = 57

Step-by-step explanation:

x and 57 are alternate interior angles and alternate interior angles are equal when the lines are parallel

x = 57

I need help with this problem. Please I don’t want any links for “answers”.

Answers

Answer:

why does it say the answer is 165 on top?

HELP WILL MARK YOU BRAINLIEST, PLS I NEED ASAP

Answers

Answer:

Pizza 1: lenght(l)=16 and width(w)=4

Perimeter=40in.

Pizza 2: l=32 and w=2

Perimeter=68in.

Step-by-step explanation:

1. List down factors of 64.

64=1,2,4,8,16,32,64

2. Select the factors you'll be using to draw your rectangles. In this case I selected the factors 2,4,16 and 32 because area of rectangle=l×w. Therefore 2×32=64 and 4×16=64.

3. Draw your rectangles according to the measurements you chose. If the drawing is too big to fit the box you can simply use a scale. Such as 1 inch=4 inches on your drawing. For example, when drawing the length of the second Pizza which is 32in. you can simply draw a line of 8 inches.

4. After drawing your pizzas you niw have to find the Perimeter of both. Simply use the formula Perimeter of a rectangle=2(l+w)

Pizza 1: Perimeter=2(16+4)

=2×20

=40in.

Now do the same for Pizza 2 using its own lengjt and width. Hope this helped.

Are the following triangles similar? If so state the reason.

not similar
yes by SAS
yes by SSS
yes by AA​

Answers

Answer:

yes by aa similarity.

angle sxn=nyd [given]

angle snx= ynd [by vertically opposite angle]

yes by AA. verticals angles are congruent (XNS&YNO) and angles DYN and SXN are given to be congruent.

In the year 2015 Emily was three times as old asKaitlin. By the year 2021 Kaitlin will be half asold as Emily will be. How old was Emily on theyear 2000?

Answers

In 2000 Emily was 9 years old.

Given that in the year 2015 Emily was three times as old as Kaitlin while by the year 2021 Kaitlin will be half as old as Emily will be, to determine how old was Emily on the year 2000 the following calculation must be performed:

2015 = E = 3K 2021 = E = 2K  24 /// 8 --- 30 /// 14 18 /// 6 --- 24 /// 12 18/6 = 3 24/12 = 2 2015 = Emily was 24 years old 24 - (2015 - 2000) = X 24 - 15 = X 9 = X

Therefore, in 2000 Emily was 9 years old.

Learn more in https://brainly.com/question/20025195

Quincy, Rosalina and Jamal have formed a partnership. The total investment was $800,000. Quincy and Rosalina own 36.2% and 24.8% . How much money did Jamal invest? Show all steps and all work for full points

Answers

Answer:

402$

Step-by-step explanation:

3.1 María obtuvo 24 de los 25 problemas correctos en su prueba. ¿Qué puntuación obtuvo?

Answers

Answer:

96% del 100 %

Step-by-step explanation:

de nada papu

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