Remove all perfect squares from inside the square root.

\sqrt{108a^6}=


Answers

Answer 1

Answer:

[tex]y = 6\cdot a^{3}\cdot \sqrt{3}[/tex]

Step-by-step explanation:

The following expression is needed to be solved:

[tex]y = \sqrt{108\cdot a^{6}}[/tex]

The solution is done by means of algebraic handling:

[tex]y = \sqrt{2^{2}\cdot 3^{2}\cdot 3 \cdot a ^{6}}[/tex]

[tex]y = 6\cdot a^{3}\cdot \sqrt{3}[/tex]


Related Questions

PLZZZ HELP ME I NEED THE ANSWER RN!!!
Tell whether the angles are complementary or supplementary. Then find the value of x.

Answers

Answer:

x = 55

The angles are complementary

Step-by-step explanation:

Since those angles add up to be 90:

2x-20 = 90

Add 20 to both sides:

2x = 110

x = 55

Support me by marking my answer as brainiest

Find the missing side length assuming lines that appear to be tangent are tangent. Show work on piece of paper.

Answers

Answer:

20

Step-by-step explanation:

Since the line of length 16 is a tangent to the circle, then the angle between it and the radius is right.

? is the hypotenuse of the right triangle formed.

Using Pythagoras' identity on the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

?² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )

? = [tex]\sqrt{400}[/tex] = 20

What is the value of y?
A. 65ο
B. Cannot be determined
C. 120°
D. 600

Answers

Answer:

I think it's 60

Step-by-step explanation:

Answer:

D.) 60 degrees.

Step-by-step explanation:

We have triangle ABC which is an equilateral triangle because all the sides are equal.

y value is 60 degrees because all the interior angles of triangle ABC is 60 degrees.

"How are we ever going to build this bridge?" asks Omkar looking out across the raging river.
"Let's start by finding the distance to the big rock on the other side." Melissa replies. Moving 100100100 meters along the river, Melissa looks back and measures the angle between Omkar and the big rock: 33^\circ33

33, degrees.
Melissa then instructs Omkar to measure the angle between Melissa and the big rock. From his vantage point, Omkar sees an angle of 98^\circ98

98, degrees between Melissa and the big rock.
What is the distance across the river from Omkar to the big rock?
Do not round during your calculations. Round your final answer to the nearest meter.

Answers

Answer:

The distance across the river from Omkar to the big rock is 72 meters.

Step-by-step explanation:

Using the given information draw as triangle as shown below.

According to angle sum property, the sum of interior angles of a triangle is 180°.

In triangle ABC,

\angle A+\angle B+\angle C=180^{\circ}

98^{\circ}+33^{\circ}+\angle C=180^{\circ}

131^{\circ}+\angle C=180^{\circ}

\angle C=180^{\circ}-131^{\circ}=49^{\circ}

The measure of angle C is 49°.

Sine formula:

\frac{a}{\sin a}=\frac{b}{\sin b}=\frac{c}{\sin c}

Using sine formula in triangle ABC, we get

\frac{AC}{\sin B}=\frac{AB}{\sin C}

\frac{AC}{\sin 33^{\circ}}=\frac{100}{\sin 49^{\circ}}

AC=\frac{100}{\sin 49^{\circ}}\times \sin 33^{\circ}

AC=\frac{100}{0.7547}\cdot0.544639

AC=72.166

AC\approx 72

Therefore the distance across the river from Omkar to the big rock is 72 meters.

Answer:

72

Step-by-step explanation:

khan academy

What is the sum of.

Answers

Answer:

2(4/5)

Step-by-step explanation:

You can't get the sum however you can simplify which is what I did.

Hope this helps :)

What is the surface area of a cylinder use 3.14 instead of pi button on your calculator the radius two the height is eight.


Please help and if any of you do ixl please let me know I need help with Lot of them !!

Answers

Answer:

125.60

Step-by-step explanation:

the formula for the area of a cylinder is A=2πRH+2πRsquared. I find it easiest to multiply pi by 2 instead of anything else which is 6.28. Then I multiply the radius (2) times the height (8) equaling 16. Then you multiply that number by 6.28. Equaling 100.48. Then you have to do the second part which is radius (2) squared equaling 4. Then you multiply that by 6.28, equaling 25.12. then you add the two sums (25.12+100.48=125.60).

hope that makes sense!!

What is the definition of similarity? *
A. If two figures have the same angles, then they are similar.
B. If two figures have proportional side lengths, then they are similar.
C. If there is a sequence of transformations taking one figure to another, then they are similar.
D. If there is a sequence of rigid transformations and dilations, that take one figure to the other, then they are similar.

Answers

Answer:

The answer is A. If I get it right, please award me with brainliest.

Step-by-step explanation:

Final answer:

Similarity in Mathematics refers to two shapes resembling each other such that one can be acquired from the other using a sequence of dilations and rigid transformations. They have the same angle measures and proportional side lengths.

Explanation:

In the field of Mathematics, particularly in Geometry, similarity refers to the concept that alludes to how well two shapes resemble each other. Two shapes are considered similar if you can obtain one from the other using a sequence of stretches, shrinks (know as dilations), and rigid transformations (like rotation, reflection, or translation).

In other words, option D is the most accurate: If there is a sequence of rigid transformations and dilations, that take one figure to the other, then they are similar. It's important to note that the characteristics of similar figures include having the same angle measures and proportional side lengths.

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Alicia randomly selects one number from the list of numbers below.
20, 25, 30, -35, 40
What is the probability that she selects a positive number?

Answers

Answer:

80% or 4/5

Step-by-step explanation:

There are five numbers and four of the numbers are positive which means you'll have 4 out of 5 chance getting a positive number, which is equivalent to 80%

80% or 4/5 is your answer

please help!!! thank you

Answers

Answer:

28

Step-by-step explanation:

140 divided by 5 is 28

224 divided by 8 is 28

480 divided by 15 is 28

5 can go into 140, 28 times

8 can go into 224, 28 times

15 can go into 420, 28 times

28 is the relationship

A proposed law before it is confirmed through the House, Senate and Presidential process is:
a committee
an amendment
a bill
a proposal

Answers

Answer:

A bill

Step-by-step explanation:

A bill becomes a law. Search up a bill becomes a law schoolhouse rock.

The answer is a bill

A table of values of a linear function is shown below.

Find the slope and y-intercept of the function's graph, and find the equation for the function.

Answers

Given:

A table of values of a linear function.

To find:

The slope, y-intercept and equation of the function.

Solution:

Take any two points on the table.

Let the points are (-1, -3) and (0, -6).

Slope of the line:

[tex]$m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]$m=\frac{-6-(-3)}{0-(-1)}[/tex]

[tex]$m=\frac{-6+3}{0+1}[/tex]

[tex]$m=\frac{-3}{1}[/tex]

m = -3

Slope of the function = -3

y-intercept of the function is the point where x = 0.

In the table y = -6 when x = 0

y-intercept = -6

Equation of a line:

y = mx + c

where m is the slope and c is the y-intercept

y = -3x + (-6)

y = -3x - 6

Equation of a function is y = -3x - 6.

Final answer:

The slope of the function's graph is 3, the y-intercept is 2, and the equation for the function is y = 3x + 2.

Explanation:

To find the slope of the function's graph, we can use the formula: slope = (change in y) / (change in x). We can choose any two points from the table and calculate the slope. Let's choose the points (0,2) and (1,5). The change in y is 5 - 2 = 3, and the change in x is 1 - 0 = 1. Therefore, the slope is 3/1 = 3.

To find the y-intercept of the function's graph, we can use one of the points from the table. Let's use the point (0,2). Since the y-intercept is the value of y when x = 0, the y-intercept is 2.

The equation for a linear function is y = mx + b, where m is the slope and b is the y-intercept. So for this function, the equation is y = 3x + 2.

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Which is larger, 29 x 10-7or 6 x 10-6? Estimate how many times larger.

Answers

Answer:

29 x 10-7 is bigger by about 5 times

Step-by-step explanation:

ctice 1 Packet
*

Tam has $16.58 in her bank account. She spends $4.69 on school supplies and
deposits $5.00. What is her new balance?
A. $6.89
B. $16.89
C. $17.11
D. $26.27​

Answers

so the right answer is of option B.

Hope this will help u...

It’s Would be B I think

Could anyone solve this?

Answers

Answer:

26.

Step-by-step explanation:

Hope this helps!

Namarachi earns a base pay of $2,200 per month. She also earns commission of 4% of her total sales. One month Namarachi earned $2,400. Explain how to find Namarachi’s total sales for that month. How much were her total sales?

Answers

Answer:

$5000

Step-by-step explanation:

To get the amount earned as commission, we deduct the fixed pay from the total earned pay. Given the total monthly earnings as $2400 while fixed pay of $2200, in this case, the amount of commission will be

Commission= 2400-2200=200

Since the commission is 4% of the total sales, then the total sales equivalent to 100% is given by cross multiplication

If4%=$200

100%=?

Total sales will be 100%*$200/4%=$5000

What is the area of the trapezoid?

Answers

Answer:

C) 100 m^2

Step-by-step explanation:

Area of a trapezoid= h*[(b1+b2)/2]

h=10

b1=8

b2=12

Therefore:

A=10*[(8+12)/2]

A=10*(20/2)

A=10*10

A=100

So the area of the trapezoid is 100 m^2

Miguel has a toolbox that measures 18.5 inches by 12.5 inches by 4 inches. What is the volume of the toolbox

Answers

Answer:

It would be 925 inches cubed.

Step-by-step explanation:

To find the volume, know that to find the volume of any rectangular prism (which is what this is) is to do Length * Width * Height to get the volume.

By doing, 18.5 * 12.5 * 4, you'll get your answer.

18.5 * 12.5 * 4 ---> 925

Remember to make in the unit of inches (because that's the unit it was asked in) and to write cubed at the end (since you are finding the area of a 3d object).

What is the area of the green section?

Answers

Answer:

The answer is 53

Step-by-step explanation:

What's half of 30 (15) then add them all up

Answer:352m

Step-by-step explanation:

Area of rectangle= length x width

L=22 W=16

22x16=352m

I flip two fair coins.
What is the probability that I flip 2 heads?
P(2 heads) =

What is the probability that I flip 1 head and 1 tails?
P(1 head and 1 tails) =

Answers

Answer:

P(2 heads)= .25

p(1 head 1 tails) =.5

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Which ray is opposite of DE?

Answers

Answer:

BA

Step-by-step explanation:

It is on the opposite side of the line separated evenly from DE by C

Answer:

Need antonyms for ray? Here's a list of opposite words from our thesaurus that you can use instead

Step-by-step explanation:

how to you calculate the area of regular octagon? ​

Answers

Answer:

A = 2 (1 + √2) a^2

Step-by-step explanation:

a- one side of the octagon

solve the equation for x 2x+34=4(x+5)​

Answers

Answer:

7

Step-by-step explanation:

2x+34=4(x+5)

2x+34=4x+20

-2x=-14

x=7

Answer:

x=7

Step-by-step explanation:

I need the first six terms of an=(n+3)^2
PLease and thank you :)

Answers

Sorry, I’m only in 6th Grade, I don’t know the answer.

Answer:

Step-by-step explanation:

hello :

the first six terms of an=(n+3)^2 are :

a1= (1+3)² = 4² = 16

a2= (2+3)² = 5²=25

a3= (3+3)²=6²=36

a4= (4+3)²=7²=49

a5= (5+3)²=8²=64

a6= (6+3)²=9²=81

What percent of 20 is 8?

Answers

Answer: x = 40

Step-by-step explanation: I know that it's tempting to try to do percentage word problems in your head but this leads to a variety of careless mistakes. So I would advise always writing out the equation by simply reading the problem from left to right and solving it from there. That way you don't have to think about the problem at all until you get to your final answer.

So for this problem we have what percent. Since we know that percent means over 100 and what means x,

what percent would be x/100.

Of means times, 36 is 36, is means equals, and 81 is 81.

So we have the equation x/100 · 20 = 8.

We can rewrite this problem as 20x/100 = 8.

To get rid of the fraction, we multiply

both sides by 100 and we have 20x = 800.

Dividing both sides by 20, you can use a

calculator to find that that x = 40.

Now let's check to see if our answer makes sense.

We have 40% of 20 is 8.

Well we know that 100% of 20 would be 20. So 40% of 20 should be alot less than 20 so 8 seems to make sense.

I have attached my own work in the image provided.

Final answer:

To determine what percent of 20 is 8, you divide 8 by 20 and multiply by 100, which equals 40%. Thus, 8 is 40% of 20.

Explanation:

To find out what percent of 20 is 8, we use the formula for percentage which is
(Part/Whole) × 100. In this case, 8 is the part (the number we're trying to find the percentage for) and 20 is the whole (the reference number we're comparing to). So, we calculate (8/20) × 100 to get the percent.

Step-by-step calculation:

Divide 8 by 20 which equals 0.4.

Multiply 0.4 by 100 to convert it to a percent.

0.4 × 100 equals 40%.

Therefore, 8 is 40% of 20.

Please help me I’m just learning this

Answers

Answer:

64 cm^2

Step-by-step explanation:

Area of Shaded Region = Area of Parallelogram - Area of Rectangle

Area of Parallelogram = 10 * 7 = 70

Area of Rectangle = 2 * 3 = 6

70 - 6 = 64 cm^2

Which equation is equivalent to log (x+5) = 27

Answers

Answer:

(22+5)=27 or  (x+y)=27

Step-by-step explanation:

What is the slope of the line shown in the graph?
A 3/2
B 2/3
C -3/4
D - 2/3

Answers

Answer:

D. -2/3

Step-by-step explanation:

Since it is going down, it is negative

Think of this: Rise/Run

In this case, rise is when you are going up or down the graph

Run is when you are going to the right of the graph

Let's use 2 points (0,3) and (3,1)

Since you are going three points to the right we are going to put 3 in for run

You are going 2 places down, so we are going put -2 in for rise

This gives us -2/3

Another way to do this is (1-3)/(3-0) = -2/3

Sean and Kyle have 26 dollars between them. If Sean has 8 more dollars than Kyle, how much money does Kyle have, in dollars?

Answers

Answer: 9$

Step-by-step explanation:

kyle has x dollars. Sean has x+8 dollars. They equal 26. 2x+8=26

2x=18

x=9

Answer:

9

Step-by-step explanation:

Alonzo, Enio, and George bought a watercolor paint box for $15.35 and 3 brushes for $2.25 each. They had a coupon for $2.00 off their purchase. They split the remaining cost equally. Which expression could be used to find the amount each person paid?

A.
(
15
.
35
÷
3
)
+
(
2
.
25
×
3
)

2
B.
(
15
.
35
÷
3
)
+
2
.
25
×
(
3

2
)
C.
[
15
.
35
+
(
2
.
25
×
3
)

2
]
÷
3
D.
(
2
.
25
+
15
.
35
+
3
)
÷
3

Answers

Answer:

c

Step-by-step explanation:

Trust me i did the quiz and i got it right!

The correct expression is option (c) [15.35+(2.25 x 3)-2]÷3

Concept

Firstly we have to add watercolor paint box amount, brushes amount and then subtract coupon amount and lastly dividing first part by 3

What are steps to solve this problem?

The steps are as follow:

Alonzo, Enio, and George bought a watercolor paint box for $15.35 and 3 brushes for $2.25 each which means we have to add them as 15.35+(3 x 2.25), this is first partAfter that they had a coupon for $2.00 off their purchase which means this 2 needs to be subtract from first part as 15.35+(3 x 2.25)-2 this is second partThe bill need to be split between the 3 friends so that the answer of second part should be divided by 3 as [15.35+(3 x 2.25)]÷3

So the final expression would be [15.35+(3 x 2.25)]÷3

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Find the Radius of a circle when the height is 6 and the volume is 8

Answers

Answer:

1.13

Step-by-step explanation:

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