How to get rid of a square root in the denominator?.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

to clear a square root on the denominator

Multiply the numerator and denominator by the square root, for example

[tex]\frac{5}{\sqrt{3} }[/tex]

= [tex]\frac{5}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] = [tex]\frac{5\sqrt{3} }{3}[/tex]


Related Questions

Jonny's bedroom has an area of 90 square feet. What might the length and width of his bedroom be

Answers

Answer: 30 on both.

Step-by-step explanation: 30 because 3x3 is 9 so then add a zero

Answer: Area is length multiplied by width.

90=10×9

Step-by-step explanation: The sides will be multiplied to get the area.

10 And 9 are the sides

PLEASE PLEASE PLEASE HELP ME WITH THIS QUICK QUESTION!!

Answers

Answer: the y intercept is 4 and there is no x intercept

Step-by-step explanation: the intercept is where on the line it connects, on the y line, it touches 4 and it doesnt touch the x line

If two number cubes are rolled what is the probability of rolling two numbers with a sum less than or equal to 10

Answers

Answer:

[tex]p = \frac{11}{12}[/tex]

Step-by-step explanation:

If we roll two number cubes we can summarize the results in the following table (Check table in the attachment)

According to table of sum we roll two numbers with a sum less than or equal to 10 in 33 cases out of a total of 36 result

Then

The probability of rolling two numbers with a sum less than or equal to 10 is: 33/36 = 11/12

pls help bru i need help

Answers

Answer: I beleive that the systems of transformation are that

Figure JKLM to Figure J' K' L' M' is a Rotation

Figure J' K' L' M' to Figure J" K" L" M" is a Dilation

Step-by-step explanation:

9. Find the area of the shaded segment. Round your answer to the nearest tenth. (1 point)
120°
6 cm
0 7.9 cm
O 120 cm
O 22.1 cm
O 36.0 cm

Answers

Answer: 22.1 cm^2

Step-by-step explanation:

I just took the practice :)

the picture is below

Answers

Answer:

-7j - k - 1  **Answer Choice B**

Step-by-step explanation:

10k + 17 - 7j - 18 - 11k

You need to find a simplified equation that is equivalent to this.

First, combine like terms (meaning coefficients with coefficients and numbers with numbers).

10k -11k + 17 - 18 -7j

-k - 1 - 7j

Rewritten:

-7j - k - 1

Answer Choice B is correct.

Pretty sure b hope it’s right

100 points

The ceiling of Stacy's living room is a square that is 33 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 33 ft, but she doesn't know how long it is.

Solve for the length of the diagonal of Stacy's ceiling in two ways:

(a) Using the Pythagorean Theorem.

(b) Using trigonometry.

Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!)

Answers

Answer:

47

Step-by-step explanation:

a)

a^2 + b^2 = c^2

33^2+33^2=c^2

2178=c^2

c=(nearest is 47)

b)

If you cut the square in half diagonally, it forms two right triangles with angle measures 90-45-45. You can use sin (opposite over hypotenuse) to find the length of the hypotenuse.  sin (45) would be 33/(hypotenuse length). From a trig chart, you can find that sin (45) is 1/sqrt(2), meaning that 33/x = 1/sqrt(2). This means that x=33sqrt(2), which is around 47.

The length of the diagonal of Stacy's ceiling is 46,7.

What is the Pythagoras theorem?

Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle.

The ceiling of Stacy's living room is a square that is 33 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 33 ft, but she doesn't know how long it is.

By using Pythagoras theorem;

[tex]\rm Hypotenuse ^2=33^2+33^2\\\\ Hypotenuse ^2=1089+1089\\\\ Hypotenuse ^2=2178\\\\ Hypotenuse =46.9\\\\[/tex]

By using trigonometry;

[tex]\rm Cos45=\dfrac{33}{d}\\\\d =\dfrac{33}{cos45}\\\\d=46.7[/tex]

Hence, the length of the diagonal of Stacy's ceiling is 46,7.

learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

#SPJ2

An aquarium holds 56. 25 gallons of water. It has a length of 2 feet and a height of 2. 5 feet. What is the volume of the aquarium?

Answers

Wouldn’t it just be 56.25 bc it holds that much bc v=l x w x h and there is no height

The decimal 132.64 written in expanded form is ______.

Answers

One hundred thirty two and sixty four hundredths. I think that the answer

4.
Find the value of h, rounded to the nearest tenth.

6.7

7.5

6.3

6.5

Answers

Answer:

6.7.

Step-by-step explanation:

sin 48 = 5/h

h * sin 48 = 5

h = 5 / sin 48

= 6.73

If the walls of a square room require 480 ft^2 of paint and the floor to ceiling height is 10

ft, what are the dimensions of the room?

Answers

After find the area of one side, we proceeded to find the length and with as

Length = 10.95 feet width = 10.95 feet

Mensuration of Shapes

Given Data

Height of the Room = 10 feetArea of 4 sides of the room = 480 ft^2

If the area of 4 side = 480 ft^2

Area of 1 side will be = x

Cross multiply we have

x = 480/4

x = 120 ft^2

Let us find the length and width of the room

x = √120

x = 10.95 feet

hence Length = 10.95 feet

width = 10.95 feet

Height = 10 feet

Learn more about area of shapes here:

https://brainly.com/question/2607596

Please Help! will give brainlest!

Answers

Step-by-step explanation:

sin²zeta + cos²zeta = 1 .....1

sin²zeta - 5coszeta - 5 = 0 .....2

.......1 - .......2

cos²zeta + 5coszeta = 1

I only know just this ....

An=6•(-1/4)^(n-1). The app won’t scan this problem please help

Answers

If n > 1 …

-(6/4^n-1)

the sum of 2 thousands, 11 hundreds, 8 tens 2 ones=

Answers

Answer:

answer is 3182

Step-by-step explanation:

hdjsiabehdk

how would you change these equaions to y=mx+b form?
7x + 9y = 1
14x + 18y = 2

Answers

Answer:y=-7/9x+1/9 and y= -7/9x + 1/9

Step-by-step explanation:

difference of two terms 4x-8 to product of two factors​

Answers

Answer:

4 × (x - 2)

Step-by-step explanation:

we want to transform 4x - 8 from a difference of two terms into a product of two factors​ :

4x - 8 is a the difference of the terms 4x and 8

4x - 8 = 4x - 4×2 = 4 × (x - 2)

4 × (x - 2)  is the product of the two terms 4 and x - 4

jack and his 3 friends each ate 3pops on Monday if they all at the same amount the rest of the week how many pops could they eat in 3 weeks??​

Answers

Answer:

216pops.

Step-by-step explanation:

If Jack and his 3 friends(4people total) ate 3 pops on Monday and ate 3pops for the rest of the week, that'd be 12 pops 1 day, and 12x6 is 72 then you have to multiple 72 by 3 and you get 216pops in 3weeks

The tables represent two linear functions in a system. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4. What is the solution to this system? (1, 0) (1, 6) (8, 26) (8, –22) tables represent two linear functions in a system. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4. What is the solution to this system? (1, 0) (1, 6) (8, 26) (8, –22) is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee. Lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. In her work, she substituted an expression for one variable and solved for the other. This resulted in the equation 75 = 75. What can Lian conclude? One gym charges $75 per month. Each gym charges $75 per month. Both gyms charge the same monthly rate and the same membership fee. Both gyms charge the same monthly rate, but not the same membership fee.

Answers

Answer:

We want to solve a system of linear equations, we will get that the solutionis (8, -22)A system of equations is a group of equations that we must solve simultaneously. Here we have two lines defined by tables:line 1:x      y-4    26-2    180    102    2line 2:x      y-4    14-2     80      22      -4Remember that a line is written as:y = a*x + bWhere a is the slope and b is the y-intercept.We know that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:With this we can find the slope of the first line, using any pair of the given points, I will use (0, 10) and (2, 2)And we know that the line passes through (0, 10), then the y-intercept is equal to 10.y = -4*x + 10For line 2 we can use the points (0, 2) and (2, - 4), so we get:And the y-intercept is y = 2, then the line is:y = -3*x + 2Now we must solve:-4*x + 10 = -3*x + 210 - 2 = 4x - 3x8 = xNow we evaluate x = 8 in any of the two lines:y = -3*8 + 2 = -22Then the solution of the system is (8, -22)

What is the total amount of screen that Alice will need for her habitat?
Give an exact answer (do not round).

Answers

Answer:

SA = 3.04

Step-by-step explanation:

→ Find: Surface Area (SA)

SOLUTION:

SA = 2(1x0.8) + 2(0.4x0.8) + 2(1x0.4)

SA = 1.6 + 0.64 + 0.8

SA = 3.04

Ursula and yi share a submarine sandwich Ursula eats 2/8 of the sandwich yi eats 3/8 of the sandwich how many of the sandwich do two friends eat

Answers

Answer:

Step-by-step explanation:

the 2 friend eat 5/8

Determine the type of triangle that is drawn below.

Answers

Answer:

equalateral

Step-by-step explanation:

hope this helps

PLEASE HELP! MATH QUESTION

Answers

Answer:

the midline is at f(x)=0

it takes the ball 2 s to complete a cycle

18) 2(NH4)3PO4
# of
molecules:
# of
elements:
Name of element:
# of atoms:
Total # of atoms:
The #2 is a
(coefficient or subscript)

Answers

Answer:

3(14+4)+28+64 = 54+92 = 146 gm/mol

Step-by-step explanation:

Name of elements : 1) Nitrogen

2) hydrogen

3) phosphorus

4) oxygen

QUESTION 1 of 10: If you pay a total of $400 for your social media campaign, and you agreed to pay $0.20 per click, how many clicks did you
get?

a) 80
b) 160
c) 1,200
d) 2,000

Answers

Answer:

d. 2,000

Step-by-step explanation:

400 (total) / 0.20 (per click) = 2,000

Describe the length and width of a rectangle that has the same area as the one below, but a different perimeter.

Answers

the area of both rectangles is 34yd²

hope it really helps...!!!

how do i find the area of parts of circles?

Answers

Answer:

Explanation below

Step-by-step explanation:

The equation for the area of a circle is pir^2

To find the area of parts of a circle you would do as the following examples:

the area of half a circle is (1/2)(pir^2)

the area of a quarter of a circle is (1/4)(pir^2)

the area of a third of a circle is (1/3)(pir^2)

the area of a tenth of a circle is (1/10)(pir^2)

Let f(x)=12x^5-36x^4-6x^3 and g(x)=6x^2. Find f(x) over g(x)

Answers

Answer:

GCF = 6{x}^{3}6x

step 1. 6{x}^{3}(\frac{12{x}^{5}}{6{x}^{3}}+\frac{-36{x}^{4}}{6{x}^{3}}+\frac{-6{x}^{3}}{6{x}^{3}})

step 2. 6x3x6x3x12x5+6x3−36+4-6x3=3,888-32

step 3. 3,888-32=3,856

Step-by-step explanation:

your answer is 3,856 hope this helps

please find the area of the shaded region

Answers

Answer:

30.9 yd^2

Step-by-step explanation:

Area of square -  area of circle = shaded area

    12 * 12           -  pi (6)^2 = shaded area

Pls help ..
No trolls pls I need this-

Answers

1,152

The triangle area is 288
The rectangle is 864
Add em up and you get 1152 :)

Answer:

1800 square feet

Step-by-step explanation:

Area of composite figure

Figure 1:

length = 27 ft

Width = 24 ft

Area of figure1 = length * width

                        = 27 * 24

                        = 648 square feet

Area of figure II:

              length = 27 ft

              Widht = 32 ft

Area of figure II = 27 *32

                          = 864 square feet

Area of figure III:

    base = 18 ft

     height = 32 ft

[tex]\text{Area of triangle (figure III) = $\dfrac{1}{2}*base*height$}\\\\[/tex]        

                                            [tex]= \dfrac{1}{2}*18*32\\\\= 288 \ square \ feet[/tex]

Area of composit figure = 648 + 864 + 288

                                        = 1800 square feet

what is the mean of 25 31 12 38 12 15

Answers

Answer:

22.1666666667 ~ 22.17 (This should be rounded)

Step-by-step explanation:

The mean formula is to add all the numbers and then divide by the quantity or how many numbers were listed.

25+31+12+38+12+15/6 = mean

All the numbers added up should equal 133


You need to divide the sum by 6 since that is how many numbers that are in your data set.

The Mean of the Data set is 22.1666666667 which is approximately 22.17

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