Mathematics Middle School

Simplify by rationalizing the denominator.
15√2 / √270

Answers

Answer 1

[tex] \frac{ \sqrt{15} }{3} [/tex] ✅

Step-by-step explanation:

[tex] \frac{15 \sqrt{2} }{ \sqrt{270} } \\ \\ = \frac{15 \sqrt{2} }{ \sqrt{270} } \times \frac{ \sqrt{270} }{ \sqrt{270} } \\ \\= \frac{15 \sqrt{2} \times \sqrt{270} }{270} \\\\ (∵ \sqrt{a} \times \sqrt{a} = a) \\\\ = \frac{15 \sqrt{540} }{270} \\ \\= \frac{ \sqrt{2 \times 2 \times 3 \times 3 \times 3 \times 5} }{18} \\ \\ = \frac{ \sqrt{ {2}^{2} \times {3}^{2} \times 15 } }{18} \\ = \frac{2 \times 3 \sqrt{15} }{18} \\ \\ = \frac{6 \sqrt{15} }{18} \\ \\ = \frac{ \sqrt{15} }{3} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer 2
its really the right answer…..
Simplify By Rationalizing The Denominator.152 / 270

Related Questions

my teacher took my pop tart-

Answers

Wow... Unbelievable Fire that teacher right now >:(
Just…… go buy another one. If you need assistance on which one to chose I personally like the strawberry one them things good.

helpppp plzzz helllpppp...and give steps plzz

Answers

Yesterday was a nice weekend and we just woke back to the bed so I’m tired lol
I just woke up forgive me

I need this done it’s due today

Answers

Answer: easyy for me tho, im good at math, but legit nothing else :/

Step-by-step explanation:

its 250 inches squared

Do you know the answer to my question?

Answer: 250in^2

Step-by-step explanation:you would times them all by each other

pls help im almost done. Find the value of x in the triangle shown below.

Answers

Answer:

x = 5

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

12² + b² = 13²

144 + b² = 169

b² = 25

b = 5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

x=5 because the
thero

6(5 - 3x) - 5(3x + 2)

Answers

Answer:

Step-by-step explanation:

I conclude that you need to find the value of x

6(5 - 3x) - 5(3x + 2)

30 - 18x -15x -10 = 0

-33x +20 = 0

33x = -20

x = -20/33

The answer is
= −33x+20

I need help with find the area of the other shapes. Like you can give me an example of the width and lenth like this (8:7) and I'll put a pic of what I've got so far and I need you to do what I did please.I really need help.


You must include the following items: • At least 10 shapes in which you can calculate the area (label the dimensions for each shape in feet 1 cm=3.25feet) o 2 rectangles o 1 rhombus o 3 triangles (1 must include a fractional base) o 2 trapezoids (1 base must be a decimal) o 1 pentagon o 1 irregular polygon in which you’ll have to decompose into smaller shapes. And if my pic ain't clear enough sorry.

Answers

Answer:

Step-by-step explanation:

Hmm i think you take the cm flee to the 8th

If the perimeter of a triangle is 31 ft and two of the side lengths are 15 ft and 10 ft, what is the length of the third side?
A. 56 ft
B.25 ft
C.16 ft
D.6 ft

Answers

Answer:

D would be the answer

Step-by-step explanation:

31 - 15 = 16

16 - 10 = 6

The answer is d 15+10= 25 then 31-25=6

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Solve the following equation.
-5 = s- 3

Answers

Answer:

s=-2

Step-by-step explanation:

-5=s-3

+3 +3

-2=s

Hope this helps! :)

Answer:

-2

Step-by-step explanation: I think of it like regular subtraction, you go backwards by 3 to get -5.

Pls name a set of vertical angles in the image below:

Answers

Answer:

1 and 3 ; 2 and 4

Step-by-step explanation:

Vertical angles are two angles that have the same vertex. They are congruent

Answer:

1 and 3 are vertical angles

2 and 4 are vertical angles

Step-by-step explanation:

Vertical angles are angles formed by the same lines but are opposite each other

1 and 3 are vertical angles

2 and 4 are vertical angles

Question: What is x????​

Answers

The answer for x will be 15

Answer:

x= 15

Step-by-step explanation:

because the other side is equal so you want to find what number times 3 will get you 45

The following triangle is an isosceles triangle. What is the length of the missing side?
A. 4 in
B. 37°
C. 53°
D. 11 in

Answers

Answer:

D.11 in

Step-by-step explanation:

isosceles triangles have two congruent sides

The missing side length is congruent with the longer side ( this is pretty obvious )

If the longer side has a length of 11in and the missing side is congruent to the longer side then the missing side length equals 11 in

I really extreme help

Answers

A because there is a dot on 0 which indicating the starting point and then the arrows are pointing to the left towards the negative side and stop at negative 6

-2 - -4 * -9 =
HELP I WILL GIVE BRAINLIEST!

Answers

Answer: -34

Step-by-step explanation:

Answer:

If the equation is: -2-(-4)×9= 34

Step-by-step explanation:

first distibute the negative to the four. thenmultiply it by nine then subtract 2.

Can you plzz find the width...and give steps

Answers

The width will be 12 inches for Joy’s toy chest

Step 1. Find the volume of the Son’s chest:
(It is a rectangular prism) 30 x 16 x 24 =
11,520 cubic inches

I used the formula length x width x height.

Step 2. Make an equation to solve for the volume of the chest the daughter will have:
24 x 40 x w = 11,520 in2
11,520 because its said that the two chests should be teh same volume.

Step 3. Multiply the two dimensions of the daughters chest and divide it by the volume of the son’s chest:
11, 520/24 x 40 = 12
We divide it because we use the same formula for the volume of the rectangular prism, so to find the width, divide the length x height by the volume (this is proportionality)

Lets check it:
Volume of daughter’s chest:
12 x 40 x 24 = 11,520

Volume of Son’s chest:
30 x 16 x 24= 11,520

HAVE A NICE DAY

Answer:

12

Step-by-step explanation:

We know that Tyler's chest has a length of 30 inches, width of 16, and a height of 24 inches. To find the volume of the chest, multiply the length by width by height: 24*30*16 = 11,520 in^3 The volume is 11,520.

Juliet's chest will Have a length of 40 inches and the same height as Tyler's chest, or 24 inches. It also has the same volume of Tyler's chest, or 11,520

So Tyler's chest is 24 by 30 by 16 inches, and is 11,520 inches^3

Juliet's chest will be 40 by ? by 24 inches, and will be 11,520 inches^2.

We have to find the width of Juliet's chest. To do that, we have to divide the length times height of Juliet's chest by The volume of her chest, or

11,520/(40*24) = 11,520/960 = 12

Her chest is 12 inches wide

On a cold day in Moscow, the temperature was 5∘C. If the temperature drops 17∘, what is the new temperature?

Answers

Answer:

5-15 equals -12

so the temp was -12

5-10=-5 another -7 =-12

Trevyn has 26.5 pounds of birdseed. He puts 13
pounds of birdseed in his feeder each day.

How many days will go by before Trevyn runs out of birdseeds?

Answers

On the 3rd day he will not have enough to put in the feeder.
It’s 2.5, but if you round it then it would be on the third day

Solve for t.

3t= -8.16

Answers

t= -2.72
8.16/3 = 2.72
3 x 2.72=8.16
t=-2.72 Answers by the one and only muhammad

pls help me i have to have assignments by 11:00pm so pls help me

Answers

Answer: The answer to Number 4 is 1!

Step-by-step explanation:

First you solve for the numbers in parentheses. 16 - 7 is 9, and 2 x 4 is 8. Then you solve for the remaining numbers. So 9 - 8 is indeed 1.

Hope this helps! :)

Answer:

The answer to number 2 is 1

Step-by-step explanation:

[tex] \frac{1}{5} \times 5 = \frac{1}{5} \times \frac{5}{1} \\ \\ \frac{5 \times 1}{5 \times 1 } = \frac{5}{5} = \frac{1}{1} = 1[/tex]

PLEASE I NEED THIS ASAP MY TEST HAS AN ANSWERR PLEASEEE
What is the value of x?

-3x + 8 = 38

Answers

Answer:

-10

hope it helps

-10
hope this helps
you

which angles are vertical to each other

Answers

Answer:

angle one and angle three are vertical

It’s B (Angle 1 and Angle 3). If you look at the pic here it shows the definition and gives an example which is kinda same as your question

help11111111112222222222

Answers

Answer: Cheeseburger

Real explanation:

Minimum: 28

Lower quartile: 32.5

Median: 39

Upper quartile: 49.5

Maximum: 56

Interquartile range: 23.5

the answer is cheese burgerrrrrr

What is the volume of the rectangular prism?

Answers

Answer:

C. 72 cm^3

Step-by-step explanation:

Volume of rectangular prism is length times width times height

72cm^3 because you need to do length x width x height to get the answer

Two boats leave the same harbor in Hawaii at the same time. Boat A is traveling due west at a speed of 45mph. Boat B is traveling due north at a speed of 60mph. How far apart will the boats be in 1 hour? How far apart will the boats be in 3 hours?

Answers

I quickly did this on paper and here is my answer I’m not 100% sure I’m correct but here it is

In 1 hour the boats will be 15 miles apart. In 3 hours the boats will be 45 miles apart.

Hope this helps :D
For and hour it’ll be 15 and for 3 it’ll be 45

6.Here is a list of the highest and lowest elevation on each continent

Answers

Asia is the largest sorry if I am wrong

Which of the scatterplots have no correlation? Check all that apply.

On a graph, points curve up and down.
On a graph, points are grouped together to form a horizontal cluster.
On a graph, points are grouped together to form a vertical cluster.
On a graph, points are grouped together and decrease.
On a graph, points are scattered over the graph.
Please Help : )

Answers

Answer:

2,3 and 5

Step-by-step explanation:

Scatterplots with NO correlation (meaning scatterplots that are not grouped together) are your answers.
So you would choose the following two:
On a graph, points curve up and down.
On a graph, points are scattered over the graph.

Plz help will be marked BRAINLIEST!!!

Answers

Answer:

m=90

Step-by-step explanation:

if you only need to do one other angle then do m. it's a right angle

Answer:

i think it's D

it's hard to explain but i'm sure it's D

The area of the rectangular floor in Tamara's room is 95 5/6 square
feet. The width of the room is 8 1/3 feet. What is the length of Tamara's
room?

Answers

Answer:

11 ½ feet

Step-by-step explanation:

Answer : 11 1/2

Explanation : Area = L • W, so if you do 95 5/6 divided by 8 1/3 you get 11 1/2

which angle is supplementary to 16 ?

Answers

I’m no math teacher but I think it’s 13

Answer:

Make me a Brainlist pls

Step-by-step explanation:

angle 13 is supplementary to angle 16 bcoz of the property of linear pair

The area of the rectangular floor in Tamara's room is 95 5/6 square
feet. The width of the room is 8 1/3 feet. What is the length of Tamara's
room?

Answers

area of rectangle is width × length
which means area of rectangular floor in Tamara's room = width of room × length of room
-> 95 ⅚ sq feet = 8 ⅓ feet × length of
->(95 + 5/6) sq feet = (8 + 1/3) feet × length of room
->575/6 sq feet = 25/3 feet × length of room
length of room = (575/6)/(25/3)
= 575 × 3/6 × 25)
= 23/2
= 11 ½ feet
Area of the 346+99;$ djdjekdjdjj

Hw help (again)
hope everyone is having a wonderful day <3

Answers

Answer:

The numbers are 8 and 6

Step-by-step explanation:

Let x and y be the two numbers

x+y = 14

x-y = 2

Add the two equations together

x+y = 14

x-y = 2

--------------

2x +0y = 16

Divide by 2

2x/2 = 16/2

x = 8

Now find y

x+y = 14

8+y =14

Subtract 8 from each side

8+y-8 =14-8

y =6

The numbers are 8 and 6

Answer:

8 and 6

Step-by-step explanation:

Other Questions
In your opinion, what is the theme or central idea of this text? Explain how the characters, setting, and plot contribute to this overall idea. In explaining your claim, include a summary of the text that supports your answer. Split 294x306, which identity is used to solve it? of the 10 people attending a seminar, 5 have gray hair.What is the probability that a randomly selected person will have gray hair? Work out the size of angle X ? the hawaiian islands were formed by volcanic activity, but they are far from any plate boundaries. explain how this could occur. Find the surface area of the regular pyramid. How does the excerpt satirize the clergy?by revealing the clergy's lack of theologicalknowledgeby revealing the clergy's disregard for the poor by revealing the clergy's vindictive abuse of powerby revealing the clergy's lack of loyalty to one another Read the following selection and answer the question. On a September day in 1999, people began to notice that Lake Jackson in the Panhandle region of northern Florida was shrinking. Within a few days, it was almost gone. A sinkhole had opened beneath the lake and drained it, along with all of its inhabitants including fish and alligators. As aquifers lose water, rock and soil layers can become weaker and less capable of supporting overlying layers of earth and any human structures built upon them. In such cases, the land surface above may subside, or sink. Sometimes subsidence can occur locally and suddenly in the form of sinkholes, which are areas where the ground gives way with little warning. Once the ground subsides, soil becomes compacted, losing the porosity that enabled it to hold water. Recharging a depleted aquifer may therefore become more difficult. Sinkholes occur when? I need help on both questions! 6TH GRADE MATHSix percent of the sale price of a homegoes to the real estate agents as theircommission. The buyer's agent andthe seller's agent split the commissionevenly. How much commission doeseach agent get when they completethe sale of a $340,000 house? Calculate the electric potential at point A, the middle of the rectangle, and at point B, the middle of the right-hand side of the rectangle. How would you find the electric potential? Chris is playing a card game with his friends. The game uses only the four aces from a standard deck of cards. For each move, a player draws one card, replaces it, and then draws the second card. When do creative people get their best ideas? USA Today did a survey of 966 inventors (who hold U.S. patents) and obtained the following information.Time of Day When Best Ideas OccurTime Number of Inventors6 A.M.-12 noon 27112 noon-6 P.M. 1236 P.M.-12 midnight 32712 midnight-6 A.M. 245 Required:a. Assuming that the time interval includes the left limit and all the times up to but not including the right limit, estimate the probability that an inventor has a best idea during each time interval: from 6 A.M. to 12 noon, from 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6 A.M.b. Do the probabilities add up to 1? Why should they? young girls dating suga daddies. it's negative or positive impact?please give reason if is negative or positive. Look at the map below. The countries that colonized the Americas during the 15th through 18th centuries came mostly from which region?A.Region CB.Region AC.Region DD.Region B How can I convert "I interviewed 120 people in three social classes" in a passive form? Choose the best selection for thequadrilateral with vertices at thefollowing points:(-5,0), (0,4), (5,0), (0,-4)Hint: Start by graphing the points.Distance Formula: d= (x2 x1)2 + (72 - y)2A. RectangleB. SquareC. RhombusD. Trapezoid Briefly explain ONE cause of a historical development in the excerpt. Briefly explain ONE point of view of the excerpt. Briefly explain ONE way in which the situation in the excerpt is significant for a historical argument about immigration in the Gilded Age. area of the triangle ABC examples of metal non-metal and semi metal