The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.

The Triangle Below Is Equilateral. Find The Length Of Side X In Simplest Radical Form With A Rational

Answers

Answer 1

Answer:

3√2

Step-by-step explanation:

since it is equilateral we can add say base = 2 * [tex]\sqrt{6\\}[/tex]

all sides = 2[tex]\sqrt{6}[/tex]

we use Pythagorean theorem for solving x

a^2 + b^2 = c^2

c^2 - a^2 = b^2

(2[tex]\sqrt{6}[/tex])^2 - (

(24) - (6) = b^2

18 = b^2

b = √18 = √(9*2) = 3√2

please if you find the answer helpful mark it brainiest


Related Questions

Which relationship has a zero slope?

Answers

I think it would be the second graph, Let me know if i’m right!

a²+b²=c²

5²+9²=c²

25²+81²=c²

106=c²10.2

5

What do these terms represent? -8,-4, 0, 4, 8, 12

Answers

Answer:

  They represent positive and negative numbers.

Step-by-step explanation:

an arithmetic series

13.The property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is

Answers

Answer:

Associative property of multiplication

Step-by-step explanation:

Associative property of multiplication is one of the properties used to solve mathematical questions

This is given by the formula

a × (b × c) = (a × b) × c

Therefore based on the above explanation, the property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is called the Associative property of multiplication

what is the correct answer​

Answers

Answer:

below

sin30 = x/8

x = 8 *sin30

x = 4

option A is Correct

A is the correct answer

Elsa uses exactly 60 cubes of ice to build a rectangular ice prism. Each cube has side lengths of 1 unit. Enter the dimensions of the rectangular ice prism below assuming that none of the sides can have a length of 10 units. Your answer should be typed like this with the numbers going from smallest to largest: 1, 2, 3 *

Answers

Answer:

2, 5, 6

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where all variables to the right are dimensions of the prism.

Therefore, we're looking for three numbers that multiply to be 60.

Since the question stipulates that no side length may be 10, we have:

[tex]2\cdot 5\cdot 6=60[/tex]

Help is needed please..

Answers

Answr 2.(1.3)^x

Step-by-step explanation:

i’m probably wrong but i think it’s the 4th anwser

Help me ASAP please

Answers

Answer:

f(x) = x³ - 3

Step-by-step explanation:

Given f(x) then the graph of f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < o then a shift down o c units

Here a shift down of 3 units, hence c = - 3, thus

f(x) = x³ - 3

The slope of line m is 3/8. Line n is perpendicular to line m. What is the slope of line n?

Answers

Answer:

- [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{8} }[/tex] = - [tex]\frac{8}{3}[/tex]

Canada has a population of about 32 million. The population of the United States is 10 times larger. How many people live in the United States? Explain the number of zeros in your answer.

Answers

Answer:

People live in the U.S. = 320000000

Step-by-step explanation:

Below is the calculation of a number of people who live in the United States.

Since it is given that the population of the U.S is 10 times larger than Canada's population. So, multiply the Canadas population by 10 in order to get the U.S. population.

Canada population = 32 million or 32000000

Thus the U.S. population = 32000000 x 10 = 320000000

A shopkeeper allows 20 % discount on the marked price of an article and 10 % VAT is leavied on it . If a customer pays Rs 5000 for VAT them find the discount amount.​

Answers

Answer:

Rs 12,500

Step-by-step explanation:

the price before VAT = 100/10 × Rs 5000 =

Rs 50,000

the price before discount = 50,000 / 80%

= 50,000/0.8 = 62,500

so the discount amount = 62,500-50,000

= Rs 12,500

can someone please explain how to complete this thanks

Answers

For the first question:
-Put a dot (not shaded) on -6 on the number line.
-Draw a arrow from the -6 dot to the left of the number line.

Stacy invited six friends to her 5th birthday party. How many ways can Stacy's mom arrange the
children around the table for cupcakes and ice cream?
(Answer with no decimals)

Answers

Answer:

120 ways

Step-by-step explanation:

Here, we are looking at arranging around a table

To do this, we sit down one of the children and arrange the remaining around the one that we have sat down

In scenario like this, the number of possible arrangement ways will be;

(n-1)! ways

where n is the number of children which is 6 in this case

So the possible number of ways will be;

(6-1)! = 5! = 120 ways

Which ordered pair is a solution to the system of inequalities graphed here?

Answers

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If you plot the point (1, 4), you see that the ordered pair falls in the shaded area bounded by the lines. The other ordered pairs fall outside of the shaded area.

What is the answer meyn?

Answers

Answer:

the best value is two 50 ml bottles

Step-by-step explanation:

Okay focus with me , if you buy a bottle of 50 ml you will get a second for half price so we can say that --> 2 bottles of 50 ml =

[tex]45 + \frac{45}{2} = 67.5[/tex]

We get 100 ml with £67.5 just , but when you buy 80ml you must pay £55 Hum !

then you can dived the volume of bottle with price ...

the price of one ml is 0.675 in first State

[tex] \frac{67.5}{100 } = 0.675[/tex]

in the second state the price of one ml is

[tex] \frac{55}{80} = 0.6875[/tex]

then :

[tex]0.675 < 0.6875[/tex]

so the best value is two 50 ml bottles

En un triangulo rectangulo,la hipotenusa mide 10 cm y un cateto mide 8 ¿Cual es el valor del otro cateto ?

Answers

Respuesta:

6 cm

Explicación paso a paso:

Paso 1: Información provista

Longitud de la hipotenusa (h): 10 cm

Longitud del cateto 1 (c₁): 8 cm

Paso 2: Calcular la longitud del cateto 2 (c₂)

Tenemos un triángulo rectángulo, es decir, que uno de sus ángulos es 90°. Conociendo la hipotenusa y uno de los catetos, podemos determinar la longitud del otro cateto usando el Teorema de Pitágoras.

h² = c₁² + c₂²

c₂² = h² - c₁²

c₂ = √(h² - c₁²)

c₂ = √((10 cm)² - (8 cm)²) = 6 cm

Which term is a perfect square of the root 3x^4

Answers

9x^8

lmk if this helped :)

Can someone help me solve this Algebraic Equation please?
x^1/2 + 3x^-1/2 = 10x^-3/2

Answers

Answer:

x=2

Step-by-step explanation:

REAL ASNWER ON THIS PLEASE

Answers

Answer:

240 degrees

Step-by-step explanation:

360 - 120 = 240

Answer:

240° i think

please help with this problem !!

Answers

Answer:

a. x= 9

b. 70

c. 110

d. 70

e. 110

Step-by-step explanation:

a.

congruent angles have the same measure. 1 and 3 are congruent and 2 and 4 are congruent

2(12x+2)+2(7x+7)=360

divide both sides by 2

12x+2+7x+7=180

combine like terms

2+7=9

12x+7x=19x

19x+9=180

subtract both sides by 9

19x=171

divide both sides by 19

x=9

7x+7,

7*9+7

63+7 = 70

1 is 70, 3 is 70

12x+2, x=9

108+2 = 110

2 and 4 is 110

Answer:

Step-by-step explanation:

Angles 1 and 2 are supplementary (their sum is 180 degrees)

7x + 7 + 12x + 2 = 180

19x= 171

x = 9

m 1 = 7 * 9 + 7 = 70 degrees

m 2 = 12 * 9 + 2 = 108 + 2 = 110 degrees

m 3 = angle 1 and angle 3 are vertical, so they have the same measure: 70 degrees.

m 4 = angle 2 and angle 4 have the same measure: 110 degrees

determine the range of the capacity of these dams​

Answers

Answer:

100 ldnncncbhggtix znzhkgzgjtuustashsh

7. What is the domain (the first element or number, from each palr) of this relation:
{(4,1), (5,2), (6,-1), (8,5)}
*
O {4,5,6,8)
O {4,5,6)
O{1, 2,-1,5)
O {4,-1,5,2)

Answers

{4,5,6,8} is the correct answer.

This is because the domain is all of the possible x values in a set. The range is all of the possible y values. So for the first point (4,1) has an x value of 4, and a y value of 1. The second point (5,2) has an x value of 5, and a y value of 2. And so on.

What is the slope of the line that passes through the points (-4,-4) and (-4,9)? Write answer in simplest form and explain how you got it.
(Answer as soon as you can please)

Answers

there is no slope, it’s undefined. you get this by doing 9-(-4)/-4-(-4). this comes out to 13/0, and anything over zero is undefined. hope this helped

We are collecting bananas. Alf has 4 times as many as Jim, and Jim has three times as many as Sid. Altogether they have 192. How many does Sid exactly have?

Answers

Answer:

12 bananas

Step-by-step explanation:

We are collecting bananas.

Lets represent, the number of bananas collected by:

Alf = x

Jim = y

Sid = z

Jim has three times as many as Sid.

y = 3z

Alf has 4 times as many as Jim

x = 4y

x = 4 × 3z

x = 12z

Altogether they have 192.

x + y + z = 192..... Equation 1

We substitute

3z for y and 12z fox x in Equation 1

12z + 3z + z = 192

16z = 192

z = 192/16

z = 12

Therefore, since, the number of bananas Sid collected = z

Hence, Sid has 12 bananas exactly

Please help thank you!

Answers

Answer:

10

Step-by-step explanation:

line a is perpendicular to B.
if the slope of line A is -3/4 what is the line of B

Answers

Step-by-step explanation:

line a is perpendicular to B.

if the slope of line A is -3/4 what is the line of B

Answer pleaseeeeee!!!

Answers

Answer:

The answer is option C

Caio comprou uma lembrancinha para todos os seus amigos e gastou R$12,50. Qual fração pode representar esse valor? 125/2 25/5 125/5 25/2

Answers

Answer:

$ 12.50 = $ 25/2

Step-by-step explanation:

Money spent = $ 12.50

To convert the amount in fractions

[tex]12.50\\\\=\frac{1250}{100}\\\\=\frac{125}{10}\\\\=\frac{25}{2}[/tex]

So, the correct option is $25/2

What can happen when excessive (too many trace elements are lost from
the body?

Answers

Answer:

im not sure but

Step-by-step explanation:

Deficiency of major elements can lead to nutritional disorders, and their presence in excess can cause obesity. Deficiencies or excess states of semi-major elements often result in water and electrolyte abnormalities

Need help quick it's urgent!

Answers

I think It’s 213.2.

What congruent postulate is needed for these triangles

Answers

Answer:

i hope this helps you

Step-by-step explanation:

answer is c

Answer is c) AAS means Angle Angle Side.

Hope it helps!
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