What is the product of 6 square root 3 and 3 square root 6 in simplest radical form
Answers
Answer:
54√2
Step-by-step explanation:
6√3 × 3√6 =
( 6 × 3 ) × [tex]\sqrt{3*6}[/tex] =
18√18 = 18√(2×9) =
18 ( √2 × √9 ) =
(18 × 3)√2 = 54√2
The product of 6 square root 3 and 3 square root 6 in the simplest radical form will be 54 square root 2.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that the two terms are 6√3 and 3√6.
We have to find the product of the given terms,
Radical notation is the term for an expression that employs a root, such as the square or cube root.
=6√3 × 3√6
=( 6 × 3 )√( 6 × 3 )
=18√18
= 18√(2×9)
=18 ( √2 × √9 )
=(18 × 3)√2
= 54√2
54√2 is the term shown in the radical form.
Thus, the product of 6 square root 3 and 3 square root 6 in the simplest radical form will be square root 54.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
Related Questions
If f(x) = 3^2 + 10x and g(x) = 2x-4, find (f-g)(x).
Answers
What we know:
[tex]f(x)=3^2+10x\\g(x)=2x-4[/tex]
(Also, [tex]3^2=9[/tex])
What we need to solve:
[tex](f-g)(x)[/tex] (This is equal to [tex]f(x)-g(x)[/tex])
How you have to subtract [tex]f(x)[/tex] with [tex]g(x)[/tex] to get:
[tex](f-g)(x) = f(x)-g(x) = 9+10x+2x-4 = 12x+5[/tex]
Thus, the answer would be:
[tex]12x+5[/tex]
A rectangle has a length of 9 m and a width of 5 m. What is its perimeter?
14 m
40 m
28 m
26 m please help me
Answers
9 m length and 5m width.
to find:perimeter
solution:perimeter of rectangle= l+l+b+b
= 9+9+5+5
= 28m
M - 125, find the measure of
Answers
Answer:
125
Step-by-step explanation:
Assuming the lines are parallel :
n = 180-125
= 55
x = n
x = 55
z = 180-55
= 125
This table gives a few (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane.
xxx yyy
-94−94minus, 94 242424
-74−74minus, 74 181818
-54−54minus, 54 121212
What is the xxx-intercept of the line?
((left parenthesis
,,comma
))
Answers
From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, when x increases by 20, y decays by 6, hence the slope is given by:
[tex]m = -\frac{6}{20} = -0.3[/tex]
Then:
y = -0.3x + b.
When x = -54, y = 12, hence:
y = -0.3x + b
12 = -0.3(-54) + b.
b = -4.2.
Thus, the equation is:
y = -0.3x - 4.2.
The x-intercept is the value of x when y = 0, hence:
-0.3x - 4.2 = 0.
x = -4.2/0.3
x = -14
More can be learned about linear functions at https://brainly.com/question/24808124
Answer:
Step-by-step explanation:
rate plsss
A 4-- pounds bag of chocolate bars cost $16.24. What is the unit price
Answers
Answer:
4.06 i think
Complete the reasons for the proof.
given:
m 3 = m 4
Prove 1 and 2 are supplementary
Answers
Answer:
m3 and m4 are supplementary
Step-by-step explanation:
since m3 and m4 are supplementary, we can state that m3 and m4 are supplementary
see full explanation in the vid below
Jenny packaged 108 eggs in 9 cartons. Write this statement as a rate
Answers
Answer:
12 eggs/carton
Step-by-step explanation:
The desired rate is (108 eggs) / (9 cartons) = 12 eggs/carton
PLEASE HELP ASAP 20 POINTS!!!
Answers
Answer:
D, I think…
Step-by-step explanation:
I used PEMDAS to go through and simplify and see which values match.
What is the approximate area of the shaded region?
Use 3.14 for pi
12.6 units
28.3 units
50 2 units
78.5 units
Answers
Answer:
A
Step-by-step explanation:
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
5
15/2
15/2
Answers
Timothy has a model of an armoured vehicle created using a scale of 1 : 72. If the length of the model is 3.3 inches, what is the actual length of the ed. e Limit vehicle, in feet?
Answers
Answer:
Length of armoured vehicle: 19.8 ft
Step-by-step explanation:
1 is to 3.3 in as 72 is to x:
1 72
-------- = --------
3.3 x
This yields x = 237.6 (inches), which corresponds to 237.6/12 (feet):
Length of armoured vehicle: 19.8 ft
The sign on a bridge says that its weight capacity is 2.5 tons. A large truck weighs 6,240 pounds. How many pounds can the bridge hold?
HELP ME ON THIS GUYS PLSSS
Answers
So 2.5 tons = 2.5x 2000 = 5000 pounds
Therefore the bridge can hold 5000 pounds
2000 pounds =1ton
to convert just take the number of pounds and divide by 2000 (eg: 3000 pounds divided by 2000 will give you 1.5tons)
[2000pounds = 1ton]
1.5x2000 =3000(this is to go from ton to pound
just multiply the tons by 2000
6240 divided by 2000=3.12 tons2.5tons x 2000=5000hope this helps
Which statement describes the value of the expression 7 times (24,672 - 589)?
Answers
168,581
________________________________________________________
SolveFollow PEMDAS
parenthesesexponentsmultiplicationdivisionadditionsubtractionAlways start with the top of the list, parentheses. Prioritize anything in parentheses.
[tex](24,672 - 589)[/tex]
start in hundreds place, then subtract from there.
[tex](24,672 - 589) = 24,083[/tex]
Next, multiply by 7.
[tex]24,083 * 7 = 168,581[/tex]
________________________________________________________
Questions?Ask in the comments box.
Andre set up a lemonade stand last weekend. It cost him $0.15 to make each cup of lemonade, and he sold each cup for $0.35.
If Andre collects $9.80, how many cups did he sell?
How much money did it cost Andre to make this amount of lemonade?
How much money did Andre make in profit
Answers
Answer:
18 cups of lemonade
Step-by-step explanation:
so if it cost him $0.15 to make each cup of lemonade and he sold a cup for $0.35 then he sold 18 cups
solve for x: 4x+1/2(2x+4) >12
Answers
Answer: x>2
Step-by-step explanation:
[tex]4x+\frac{1}{2} (2x+4) > 12[/tex]
Step 1: Simplify both sides of the inequality through the Distributive Property
[tex]4x+\frac{1}{2} (2x+4) > 12\\4x+(\frac{1}{2})(2x)+(\frac{1}{2})(4) > 12\\4x+x+2 > 12\\5x+2 > 12[/tex]
Step 2: Subtract 2 from both sides to isolate x
[tex]5x+2-2 > 12-2\\5x > 10[/tex]
Step 3: Divide both sides by 5 to full isolate x
[tex]\frac{5x}{5} > \frac{10}{5} \\x > 2[/tex]
Answer:
[tex]x > 2[/tex]
Step-by-step explanation:
[tex]4x+\frac{1}{2}(2x+4) > 12 < ==multiply\ the\ \#s\ in\ the\ parenthesis\ first\ using\ \frac{1}{2}\\\\4x+x+2 > 12 < ==combine\ any\ like\ terms\\\\5x+2 > 12 < ==subtract\ 2\ from\ both\ sides\\-2 \ \ \ \ \ -2\\\\5x > 10 < ==divide\ both\ sides\ by\ 5\\/5 \ \ \ \ /5\\\\x > 2[/tex]
This means that x can be any value that is greater than 2.
Hope this helps!
From a point, 50 feet from the base of a building, the angle of elevation from ground level to the top of the building is 66°. find the height of the building to the nearest hundredth of a foot
Answers
Answer:
112.30 ft
Step-by-step explanation:
The geometry can be modeled by a right triangle with a base of 50 ft, an angle adjacent to the base of 66°, and a side opposite the angle that is the height of the building. The relationship between these measures is given by the trig function ...
Tan = Opposite/Adjacent
tan(66°) = height/(50 ft)
Solving for the height gives ...
height = (50 ft)tan(66°) ≈ 112.30 ft
The height of the building is about 112.30 feet.
Find the sum of
-3/7 and its opposite
Answers
Dallas made two pies for Thanksgiving in identical pie tins. 3/8 is left of one pie, and 2/3 is left of the other. Will all the leftover pie fit in one pie tin?
answer choices
a. yes, because 3/8 + 2/3 is less than 1
b. yes, because 3/8 is less than 2/3
c. no, because 3/8 + 2/3 is more than 1
d. no, because 2/3 is more than 3/8
Answers
3/8 = 0.375
2/3 = 0.667
0.375 + 0.667 = 1.042
answer : c. no, because 3/8 + 2/3 is more than 1
Find the value of n x 5 when n=8
Answers
Answer:
40
Step-by-step explanation:
Since n=8, then you do 8x5=40.
Answer:
40
Step-by-step explanation:
n x 5
We know what n is equal (8), so we can substitute that number in the given equation.
n x 5 = (8) x 5 = 40
Therefore, the value of n x 5 when n = 8 is 40.
I hope this helps and please mark me as brainliest!
Fifteen is 3/8 of what number
Answers
Let's write the verbal phrase "fifteen is 3/8 of what number" as an algebraic equation ↓
15=3/8x (let x be the number)
Multiply by 8 on both sides to get rid of the fraction :
15*8=3x
120=3x
divide by 40 on both sides ↓
40=x
So 15 is 3/8 of 40.hope helpful ~
I know it's not A. I need help please
Answers
Answer:
139 degrees
Step-by-step explanation:
The sum of the interior angles of a polygon :
sum = ( n-2) * 180 where n = number of sides
For this one there are 5 sides
so ( 5-2) * 180 = 540 degrees
angle U = 90 degrees
90 + 82 + Y + 121 + 108 = 540 Y=139 degrees
Answer:
It is C. 139
Step-by-step explanation:
Angles of TVXXYZ is 720 degrees. We know that angles Z, W and X are 82 degrees, 108 degrees and 121 degrees (311 degrees after adding them). T= 180-28=152 degrees
V=90+28=118 degrees
152+118=270 degrees
270+311=581
720-581=139 degrees
The answer is C. 139 degrees
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answers:
Class C has the least variabilityClass B has the highest scores on average========================================================
Explanation:
The variability can be measured using the range. It's to measure how spread out the data set is. The smaller the range, the less the variability. The smallest of which is found in class C.The average can be measured by the arithmetic mean. We go for the largest mean, which in this case is class B.Answer:
Class C has least variability and Class B has highest variability.
I think it will help you
Range= Large- Small Data
of the ten menu items at deli, 7 are sandwiches With meat, 2 are sandwiches without meat, and 1 is a desert.Write the fraction of menu options that are sandwiches as a fraction with a denominator of 100. Then write the fraction as a decimal.
Answers
The fraction of menu options that are sandwiches is 70/100, or 0.7 in decimal form.
How to write the fraction?
Out of the 10 options on the menu, 7 are sandwiches.
Then the fraction of options in the menu that are sandwiches is:
7/10
But we want the denominator to be 100, so we multiply both numerator and denominator by 10 to get:
7*10/10*10 = 70/100
This is the fraction we wanted.
Now, we want it as a decimal, this will be:
70/100 = 0.7
If you want to learn more about fractions, you can read:
https://brainly.com/question/11562149
find the mean absolute deviation of the data below:
7,4,7,7,2,10,12,8,7,5
Answers
Answer:
1.9
Step by step answer
step1 finding the mean
(7+4+7+7+2+10+12+8+7+5)/10 = 6.9
step2 Difference between each data
Difference between 7 and 6.9 is 0.1
Difference between 4 and 6.9 is 2.9
Difference between 7 and 6.9 is 0.1
Difference between 7 and 6.9 is 0.1
Difference between 2 and 6.9 is 4.9
Difference between 10 and 6.9 is 3.1
Difference between 12 and 6.9 is 5.1
Difference between 8 and 6.9 is 1.1
Difference between 7 and 6.9 is 0.1
Difference between 5 and 6.9 is 1.9
step3 add all the Difference
0.1 + 2.9+0.1+0.1+4.9+3.1+5.1+1.1+1.9 = 19.4
step4 divde it by n
19.4/10 = 1.9
so the answer is 1.9
Please help Will give BRAINLIEST !!! :)
Answers
Answer:
D no. is for sure another I also don't know. So sorry.......
A line passes through the point (-9, -3) and has a slope of 2.
Write an equation in slope-intercept form for this line.
Answers
Answer:
Step-by-step explanation:
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1= -9 y_1= -3
m= 2 (the slope)
an equation in the point-slope form is : y +3 = 2(x+9)
means : y+3 =2x +18
an equation in slope-intercept id : y=2x+15
You need to fill a cylindrical glass with water. the glass is 6 inches tall and 2
inches across at the widest point. how many cubic inches of water is needed to
fill the glass? enter the answer exactly as it appears on your calculator. no
rounding this time.
Answers
volume = pi x r^2 ×h
where r is radius and h is height.
h= 6 in
r= 1
V=(22/7)×1^2 ×6
V=18.857in^3
Step-by-step explanation: Since the glass cup is cylindrical in shape, we use the formula for find volume of a cylinder iff the glass cup is to be filled full.
The volume of water will be equal to the volume of the cup. Across the widest point means diameter, hence half diameter gives radius.
one sixth of a number is 9 algebraic expression
Answers
Answer:
x= 54
Step-by-step explanation:
let the number be (x)
so One sixth of x will be 9
numerically,
1/6 × (x) =9
x= 9×6
x= 54
One-sixth can be written as [tex]^1/_6[/tex]
now, let the number be y
so one-sixth of y is written as
[tex]^1/_6~y~=~9[/tex]
If it's necessary to solve for y, consult the [Solving for y] section of this ans ↓[Solving for y]First we need to get rid of the fraction, one-sixth.
since in mathematics we can't just terminate fractions without altering the equation/expression itself, we need to perform an operation.
the first one is multiplication; we will multiply both sides of the equation by 6 (the denominator of the fraction)
[tex]^1/_6*6~y~=~9~*~6}[/tex]
On the left-hand side the 6's cancel, and we're left with
1 y = 9 * 6
Or
y = 9* 6
Which simplifies to :
y = 54
The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain? A. {2, 4} B. {-2, -4} C. {12, 14} D. {-12, -14} E. {0, 5}
Answers
Answer:
The answer is A. {2,4}
Step-by-step explanation:
I took the test on edmentum. 100%
Find the surface area of the triangular prism shown below.
Answers
the surface area should be 544 (whatever the unit is)
Step-by-step explanation:
You start by taking the rectangles on the side and finding their area.
1. (10×14)×2 ←Because there are two rectanglular sides.
2. find the area of the triangles on the side. 1/2bh = area of triangle.
(.5×8×6)×4 ← in order to find the area for all of the triangles.
3. lastly take the base of the prism and find the area then add the previously found values together.
(12×14)+(.5×8×6)×4+ (10×14)×2 = 544