how is 12 x √3/2 = 6√3 ?

Answers

Answer 1

[tex]12x\sqrt{\cfrac{3}{2}}~~ = ~~6\sqrt{3}\implies (6)(2)x\cdot \cfrac{\sqrt{3}}{\sqrt{2}}~~ = ~~6\sqrt{3}\implies \cfrac{(2x)(6\sqrt{3})}{\sqrt{2}}=6\sqrt{3} \\\\\\ \cfrac{2x}{\sqrt{2}}=\cfrac{6\sqrt{3}}{6\sqrt{3}}\implies \cfrac{2x}{\sqrt{2}}=1\implies 2x=\sqrt{2}\implies x=\cfrac{\sqrt{2}}{2}[/tex]


Related Questions


i need help please !!

Answers

Answer:

D. d-0.29

Step-by-step explanation:

29÷(0.29)=100

29÷0.29=100

They both equal 100 meaning that D is the answer.

(a) The area of a rectangular parking lot is 3657 m².
If the width of the parking lot is 53 m, what is its length?

Answers

Answer:

69 m

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{Area of rectangle= length ×width}}[/tex]

Given that the area is 3657 m² and the width is 53 m,

3657= length ×53

Divide both sides by 53:

length= 3657 ÷53

length= 69 m

20 points. A certain event may occur, but it is unlikely to occur.

Which statement about the probability of the event is true?


A. The probability is close to 0.

B. The probability is 0.

C. The probability is 1.

D. The probability is less than 0.

Answers

Answer:

A

Step-by-step explanation:

Close to 0 means there isn't a certain number, and there also isn't a certain answer for what the probability. While all of the others are alreaady stated, this is the only one that is not.

I NEED HELP ON THIS QUESTION (I will give a Brainlist to the best one no links please.)

Answers

Answer:

1. 84.7

2. 24

3. 47.5

4. 57.5

Step-by-step explanation:

your welcome and mark as brainliest pls

Find the area of the right triangle

Answers

Answer:

Formula for area of a triangle;

A = BH x 1/2

B = The base

H = The height

1/2 = Half of the product of (base x height)

We first need to figure out the base of this triangle, so count the units across from the base of this triangle.

The base is 4 units.

Now we need to find out the height, so count the units above starting from the base of this triangle and to the end of this triangle.

The height is 7 units.

Now plug these values into our equation:-

A = BH x 1/2

A = 4(7) x 1/2

A = 28 x 1/2

A = 28/2

A = 14, the area of this right triangle is 14 square units.

Help pls! pls explain too

Answers

x=7
you're going to set them equal to each other. subtract the x's on both sides and add the number (in this case, 5) on both sides of the equation. then divide the x by the 21 (you get 21 by adding the 5 to the 16). 21/3 = 7

The points (4,7) and (r. – 5) lie on a line with slope – 3. Find the missing coordinate r ​

Answers

Answer:

[tex]r=\frac{14}{3}[/tex]

Step-by-step explanation:

Set up an equation and solve for r using the formula for slope:

[tex]\frac{5-7}{r-4}=-3\\ \\-2=-3(r-4)\\\\-2=-3r+12\\\\-14=-3r\\\\\frac{14}{3}=r[/tex]

Jon mixed 3 cups of pineapple juice with 5 cups of
mango juice to make fruit punch.
Complete the equation below to represent the
relationship between the number of cups of
pineapple juice, p, and the number of cups of mango
juice, m.
p=

Answers

Answer:

p = 5/3m

Step-by-step explanation:

The Ratio of Pineapple juice to mango juice is 3:5. Since you can substitute the variable in, and they have already supplied part of the equation, you can set this equation up:

3p = 5m

divide both sides by 4

p = 5/3m

This tells us that for every cup of Pineapple juice, there is 5/3 cup of mango juice.

Hope this helps!

Brainiest always helps me out :)

please help find the area!
Ill mark brainliest!

Answers

the awnser is 18 the area

36
36
is what percent less than 60
60
?

Answers

Answer:

thats only the answer <3

Giving brainliest! need this question rlly soon thank you so much :)

Answers

u add BD which is 8, and AD with is 12 and BC=20
The answer is BC= 20

Kaitlynn needs 3 pounds of fruit for a salad.
She already has 34 pound of apples and 13 pound of grapes.

How many more pounds of fruit does she need to buy?

Answers

Answer:

She has 1 and 1/12 pounds of fruit already and she needs 1 and 11/12 pounds more to have 3 total pounds

22 mice were introduced to a new environment. Their population triples every year. Using m(t) as the function name and t for time, write this equation.​

Answers

Answer:

when were they introduced?

Step-by-step explanation:

What is the area of this combined shape?​

Answers

Answer:

the amount of space inside a shape composed of basic shapes put together.

Step-by-step explanation:

hope this helps.

I need the answer!! Please answer

Answers

She has knit 6/10 or 3/5 so far

f(x) = - 0.05(x ^ 2 - 26x - 120)

What do the zeros of this function represent? Remember the zeros are where f(x) =0.​

Answers

We are given function  for the path coming out of the cannon.

We also given x is the horizontal distance from the cannon.

We need to explain, what f(x) represents there.

f(x) represents y-axis.

And y-axis also represents height.

Height represents a vertical distance.

Therefore, we could say f(x) represents vertical distance (height) from the cannon for x horizontal distance from the cannon.

Find nth term of the sequence: 11, 15, 19, 23​

Answers

The term

tn=a+(n−1)d

Where a= first term and d= common difference

hope it helps...!!!

Your answer should be 43!

Can you solve for x please? this one has me by the balls.

Answers

Answer:

42.5

Step-by-step explanation:

(180-95)÷2=42.5

pa help guys,
probability distribution ​

Answers

Answer:

14

Step-by-step explanation:

Hope it helps

Men's Shoe Sizes The shoe sizes of eight different men were used to create the box plot above. Which of the sets of measurements below matches the given box plot? A. Shoe Size: 7, 8, 8, 9, 10, 11, 11, 12 B. Shoe Size: 7, 9, 9, 9, 10, 11, 11, 12 C. Shoe Size: 7, 8, 8, 8, 8, 11, 11, 12 D. Shoe Size: 7, 8, 8, 9, 10, 10, 10, 12

Answers

Answer:

The answer is

A. Shoe Size: 7, 8, 8, 9, 10, 11, 11, 12

Step-by-step explanation:

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt

Submitted on 4/16/2022 at 5:38 PM

(To avoid plagarism, by users whom decide to copy.)

Perform the indicated operation: (x3 – 3x + 1) – (x3 + 7 – 12x).

Answers

Answer:

[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right)=9x - 6[/tex]

Step-by-step explanation:

[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right) = x^{3}-3x+1-x^{3}-7+12x[/tex]

                                                [tex]= -3x+1-7+12x[/tex]

                                                [tex]=9x - 6[/tex]

4. The fourth proportional of 7,3 and 98 is:
A.
040
B.
042

Answers

Answer:

If

a

b

=

c

d

=

e

f

then prove that

2a+3c-4e

2b+3d-4f

=

5a-4c+3e

5b-4d+3f

1. If

a

b

=

c

d

=

e

f

, then prove that

2a+3c-4e

2b+3d-4f

=

5a-4c+3e

5b-4d+3f

2. If

x

b2-c2

=

y

c2-a2

=

z

a2-b2

, then prove that x+y+

Step-by-step explanation:

The required proportional of 7, 3, and 98 is  42. Option B is correct.

Given that,
The fourth proportional of 7,3 and 98 is to be determined.

What is proportionality?

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
let the required proportional be x,
now,
7 / 3 = 98 /x
x = 98  * 3 / 7
x = 42

Thus, the required proportional of 7, 3, and 98 is  42. Option B is correct.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ2


i need help 100 points for a question

Answers

Answer:

34.28 ft

Step-by-step explanation:

Find the length of semicircle

C = πd, circumference of circleC/2 = πd/2 = 3.14*4/2 = 6.28 ft

Find the perimeter

P = 4 + 6.28 + 2*12 = 34.28 ft

For rectangle

L=12B=4

Perimeter:-

2(L+B)2(12+4)2(16)32ft

For semicircle:-

radius=r=4/2=2ft

Perimeter:-

πr2π6.28ft

Total:-

6.28+32-438.28-434.28ft

Tim’s weight was 320 pounds in 2010 and is 180 pounds in 2020. What is the slope?

Answers

Answer:

-14

Step-by-step explanation:

We have two points

(2010, 320)  and ( 2020, 180)

The slope is

m= ( y2-y1)/(x2-x1)

   = ( 180-320)/(2020-2010)

   = -140/10

   = -14 lbs/ year

A social security number contains nine digits, such as 224-10-7135. How many different social security numbers can be formed?​

Answers

Answer:

420 million

Step-by-step explanation:

There are up to 420 million numbers that were assinged.

PLS HELP MARK AS BRAINLIEST
Suppose that the relation S is defined as follows.
S= {(4, p), (p, 0), (3, 3), (7, m)}
Give the domain and range of S.
Write your answers using set notation.

Answers

Answer:

Domain= {4,p,3,7}

Range= {p,0,3,m}

Step-by-step explanation:

⇒Domain: is the set of the first number in every pair.

⇒Range: is the set of the second number in every pair

TO FIND THE DOMAIN: S= {(4,p),(p,0),(3,3),(7,m)}

so Domain= {4,p,3,7}

TO FIND THE RANGE: S= {(4,p),(p,0),(3,3),(7,m)}

so Range= {p,0,3,m}

Hope this helps :)

Simplify the expression with nested parentheses.
430+ 26+6−33

Answers

Answer:

using bodmas.

6-33=-27.

430+26=456.

456-27=429

How many solutions does the equation (20 - 12x) = 5 - 3x have?

Answers

Answer:

x=5/3

Step-by-step explanation:

there is only 1

Question 8
1 pts
What is the best way to describe the central tendency of residential real estate prices in Westwood?
Hint: Westwood real estate is highly skewed. You are able to find houses that are $600,000 to
$69,000,000 with an average price of $1,020,000.
O Median
O Mean

Answers

The best way to describe the central tendency of residential real estate prices in Westwood is mean.

What are measures of central tendency?

A measure of central tendency attempts to describe a data set by determining the central value of the data set. Measures of central tendency are mean, median and mode

Mean is the average of a set of numbers.

Mean = sum of the numbers / total number

To learn more about mean, please check: https://brainly.com/question/25842202

Allowing 20% discount on the marked price if a watch, the value of the watch will be Rs. 2376. If the VAT of 10% is added, find its marked price.

Ans: Rs. 2700​

Answers

original price be x

x-0.2x=23760.8x=2376x=2970

VAT 10%

So new price is 10% less

2970-0.10(2970)2970-297Rs 2673≈2700
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