√(11 - 6 √(2))
(not decimal form)

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sqrt{11-6\sqrt2}=3-\sqrt2}[/tex]

Step-by-step explanation:

[tex]\sqrt{11-6\sqrt2}=(*)\\\\11=9+2=3^2+(\sqrt2)^2\\6\sqrt2=(2)(3)(\sqrt2)\\\\(*)=\sqrt{3^2-(2)(3)(\sqrt2)+(\sqrt2)^2}\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=\sqrt{(3-\sqrt2)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|3-\sqrt2|=3-\sqrt2\\\\^{\text{because}\ 3>\sqrt2\to3-\sqrt2>0}[/tex]


Related Questions

Estimate the solution to the following system of equations by graphing.

-41 + 5y = 8
61 - y = 11

Answers

Answer:

Sorry but what's the question

The solution of equation is (5/2, 7/2)

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

-4x + 5y = 8

6x - y = 11

Now, using the graphical method the lines of the equation intersect at

x = 2.5 and y = 3.5.

So, the solution of equation is (5/2, 7/2)

Learn more about Equation here:

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please help :(((((((((((((((((((((((

Answers

Answer:

6.5 feet

Step-by-step explanation:

Answer:

6 in = 0.5 ft

If model is 1 /13 then original is

height = 0.5 ft / 1/13 = (0.5 *13)/1

height = 6.5 ft

Step-by-step explanation:

Which is true about the data shown in the scatter plot?


A)
The data have no clusters and outliers.


B)
The data cluster along a line and there is no outlier.


C)
The data cluster along a curve and there is no outlier.


D)
The data cluster along a line. The point (10, 6) is an outlier.

Answers

Answer:

D.

Step-by-step explanation:

The line is going in positive linear association and the outlier is (10,6) because that is the coordinate farthest from the line.

Answer:

I would answer but that ain't enough points...

Step-by-step explanation:

Without drawing the graph of the function y=1.2x−7, see if the graph passes through points: (100; 113)

Answers

Answer:

(100,113) is on the graph of y = 1.2x -7

Step-by-step explanation:

y=1.2x−7

Substitute the point in and see if the equation is true

113 = 1.2 (100) -7

113 =120 - 7

113 = 113

This is true, so the point is on the graph

if the mean of the data set is 35 apples, find the number of apples on the Granny Smith tree,

apples

Answers

Answer:

can i please have more details please?

Step-by-step explanation:

Analyze the diagram below and complete the instructions that follow.

Answers

Answer:

c) 5 and 9, 6 and 7

Step-by-step explanation:

The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles

Answer:

5 and 9, 6 and 7

Took test

Step-by-step explanation:

For each of the following p-values, state whether you would "reject" or " fail to reject" H0 for the given a level.

1) P-value = 0.234 when a = 0.05
2) P-value = 0.024 when a = 0.05
3) P-value = 0.024 when a = 0.01
4) P-value = 0.024 when a = 0.10​

Answers

Step-by-step explanation:

if we help you then make me brain list answer pls

please help me, i don't really understand it...

Answers

Answer:

376.99 (or 377)

Step-by-step explanation:

r=10

h=6

Lateral surface = 2πrh

2π(10)(6)=376.99

Hope this helps!

Answer:

376.99 or 377

Step-by-step explanation:

Please mark meh brainliest

Johnny claims that a horizontal line had no slope. is he correct? Why or why not.

Answers

Yes he is correct because a horizontal line goes straight across

graph : f(x) = 2[x] + 1
PLEASEEEE + step by step

Answers

Answer:  

x=1/2

x=-o.5, x=-2

Step-by-step explanation:

To find x intercept/zero, substitue f(x)= 0-0 which gives you 0=2x+1. Then you solve for x to get x=-1/2 which is the answer. x=-o.5, x=-2 is the alterative form. Pls mark as brainlist if right.

Pls help me if you help me and it’s right I’ll give you 100 points

Answers

Answer:

B

Step-by-step explanation:

Given

3(24) + 7(24) ← factor out 24 from each term

= 24(3 + 7) ← B

= 24(10)

= 240

Answer:

The correct answer is B

Step-by-step explanation:

3(24) + 7(24) ← factor out 24 from each term

= 24(3 + 7) ← B

= 24(10)

= 240

I hope this helps.

Which of the following pairs of triangles can be proven congruent through SSS?

Answers

Answer:

B

Step-by-step explanation:

In figure C) segment AB is similar to segment DF, segment BC is similar to segment EF, and segment AC is similar to segment DE. So, both the triangles are congruent by SSS similarity.

Check all the options in order to determine the correct pairs of triangles can be proven congruent through SSS.

A) According to the given figure, segment AB is similar to segment XY and segment YZ. Also, segment AC is similar to segment XZ.

Therefore, this option is incorrect.

B) According to the given figure, angle A is congruent to angle X, angle B is congruent to angle Y, and angle C is congruent to angle Z. So, both the triangles are congruent by AAA similarity.

Therefore, this option is incorrect.

C) According to the given figure, segment AB is similar to segment DF, segment BC is similar to segment EF, and segment AC is similar to segment DE. So, both the triangles are congruent by SSS similarity.

Therefore, this option is correct.

For more information, refer to the link given below:

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All of the guests at a school dance choose one option for their dinner - rice and chicken, the pizza, or pasta. 45% of the guests chose the rice and chicken
option. 260 guests chose the pizza option. 25% of the guests chose the pasta option. How many guests chose rice and chicken as their dinner option?

Answers

390

Step by step:

45% chose rice and chicken and 25% chose pasta. So that means 30% chose pizza option.

If 30% is equal to 260 then 45% would be 260/30*45=390

15. You want to wrap a paperweight shaped like the
triangular prism shown. How many square inches
of wrapping paper do you need to completely
cover the prism?

Answers

Answer: 110

Step-by-step explanation: This is actually very simple. Al you have to do is to find the area of the 3 rectangles, which adds up to be 96, and find the area of the triangles, which adds up to be 14. You then have to add 96 and 14, which results in 110.





The art teacher wrote down how many flower pots each child painted last week. The results are shown here.


How many students are there in all?
A) 21
B) 25
C) 35
D) 41

Answers

Answer:

41 students

Step-by-step explanation:

5+3+8+9+4+2+10 = 41

There should be 41 . Or I may be wrong .

Martha has 27 quilt patches with animals and
27 patches with flowers. She wants her quilt
to have rows of 6 patches. How many rows
will the quilt have?

Answers

She will make 9 rows because 27 + 27 = 54 and divided by 6 =9

A number divided by three, then increased by four is nine.
(As an equation)

Answers

Answer:

5

Step-by-step explanation:

PLEASEE I NEED HELPP Which statement is true about the solutions for the equation 5y + 8 = −2? (5 points)
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Answers

Answer:

it has one solution

Step-by-step explanation:

5y+8= -2

5y= -2-8

5y= -10

divide both sides by 5

-10/2= -2

y= -2

Answer:

It has one solution.

Step-by-step explanation:

I took the test and I got a 100 on the test.

Trust me, the answer is  It has one solution.

You are welcome.

Which is the correct calculation for the volume of the prism?

A prism has a length of 8 millimeters, height of 2 and one-half millimeters, and width of 8 and one-half millimeters.

2 and one-half + 8 + 8 and one-half = 19 mm3
2 and one-half times 8 + 8 and one-half = 28.5 mm3
8 times 8 and one-half = 68 mm3
2 and one-half times 8 times 8 and one-half = 170 mm3

Answers

Answer:

its D

Step-by-step explanation:

The correct calculation for the volume of the prism is 2 and one-half times 8 times 8 and one-half = 170 mm3

What is a volume?

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of cube or cubes.

The volume will be calculated as:-

V   =   L  x  W  x  H

V   =  [tex]2\dfrac{1}2}[/tex]  x  8   x  [tex]8\dfrac{1}{2}[/tex]

V   =  ( 5/2)  x  8   x  ( 17/2 )

V   =  170 mm³

Therefore correct calculation for the volume of the prism is 2 and one-half times 8 times 8 and one-half = 170 mm3

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plus help me asap thank you​ the first answer choices are 8 5 4 and 2 the second answer choices are 2 5 4 8 and then the third ones are greater than equal to less than and then the last one is equal to greater than or less than

Answers

Answer:

2

5

less than

<

Step-by-step explanation:

gotchu fam

Two objects that are the same shape but not the same size are?

Answers

Answer:

Similar

Step-by-step explanation:

Objects that have the same shape but not size are defined to be similar.

Objects with the same shape and size are defined as congruent.

Anything that is congruent is ALSO similar.

Answer:

Similar

Step-by-step explanation:

Two angles are congruent if they have the same measure. Two figures are similar if they have the same shape but not necessarily the same size. All of the figures below are congruent since they all have the same shape and size.

HELP!! The measure of two supplementary angles are in the ratio 4:2. Find the two angles.

Answers

Hey there!

Supplementary angles always equal 180° when combined. We have our ratio which is 4:2. When we combine them, we have six. This is on a different scale than 180, so we need to divide 180 by six to see how much bigger we need to make our ratio so we can find the angles.

180/6=30

As we can see, our parts of the ratio are 1/30 the size of our actual angle. To find our angles now, we multiply each number by 30.

4(30):2(30)=120:60

As you can see, if we add 120 and 60, it equals 80, and if you simplify the ratio it is still 4:2.

Your angles are 120° and 60°.

I hope this helps!

The measure of the two angles is 120 and 60 degrees if the angles are in the ratio of 4:2.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

The measure of two supplementary angles are in the ratio 4:2.

From the question:

4x + 2x = 180

6x = 180/6

x = 30

The first angle = 4x = 4(30) = 120 degrees

The second angle = 2(30) = 60 degrees

Thus, the measure of the two angles is 120 and 60 degrees if the angles are in the ratio of 4:2.

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PLSSSSSSSSSSS HELP ME RQ

Answers

The answer is a because the person on top said

Answer:

they spent more on signs than on flower boxes

Step-by-step explanation:

2/9 = 16/72

5/8= 45/72

11/72

Ms. Nina wants to buy candy mix for $1.00 per pound. If she already bought 50 pounds of candy for $1.20 per pound, how many pounds that costs 80 cents per pound must she buy?

Answers

Answer:

She must buy 50 pounds of the other candy in order to have a mix that costs $1 per pound.

Step-by-step explanation:

Her goal is to have a candy mix that has a cost of $ 1.00 per pound, therefore the relation [tex]\frac{\text{total cost}}{\text{total weigh}}[/tex] must be equal to 1. She already bought a total of 50 pounds of a $1.2 per pound candy, therefore she spent:

[tex]\text{spent first candy} = 50*1.2 = 60[/tex]

She wants to buy "x" of a 80 cents per pound candy, therefore if we sum it's weigh "x" with 50 pounds, then it must be equal to it's value summed with 60. We have:

[tex]50 + x = 60 + 0.8*x\\x - 0.8*x = 60 - 50\\0.2*x = 10\\x = \frac{10}{0.2} = 50\\[/tex]

She must buy 50 pounds of the other candy in order to have a mix that costs $1 per pound.

Find the volume of the composite solid. Please explain how you got your answer

Answers

Answer:

To find the volume of the composite solid you must learn how to find the surface and the volume of a composite solid, prism, pyramid, cones, cylinders and spheres. In order to find the surface area and the volume

Step-by-step explanation:

Tell me if you still need help.

Hope this helps.

Write a variable expression for each. Tell what the variable represents I NEED HELP!!!

1. $16 less than last week's income
2. 5ft longer than the width of the wall
3. The amount of a car loan separated into 48 equal payments

Answers

1. x - 16
2. x + 5
3. x divided by 48 (I don’t have the division symbol.)

A triangle has these coordinates Point A:(1,5)Point B:(1,9)Point C:(8,5)Enter the length of side AC

Answers

Answer:I think the answer is 180 or 360

Step-by-step explanation:

The triangles will always be the same answer even if it looks different.

Find the surface area of the regular pyramid. The surface area is square inches.

Answers

Answer:225 square inches

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

Please help me and then solve for angle 2 please I really need help

Answers

Answer:

Angle 1 is 45

Angle 2 is 90

Step-by-step explanation:

ABCD is a square, so by definition, all of its angles equal 90:

∠ABC = ∠BCD = ∠CDA = ∠DAB = 90

We also see that AC and BD are diagonals of the square, and by definition, these diagonals bisect those angles. In other words, these diagonals cut those angles in half.

∠DAB = ∠DAE + ∠BAE

That means ∠DAE = ∠BAE = 90/2 = 45 degrees, which also means angle 1 is 45 degrees.

Also by definition, when the diagonals intersect, they form a right angle. In other words, angle 2 will be 90 degrees.

Thus, the answer is angle 1 is 45 and angle 2 is 90.

Answer:

1: 45°

2: 90°

Step-by-step explanation:

Diagonals of a square are Perpendicular bisectors of each other, hence AEB is an isosceles right angle triangle

Angle at E = 90

Angle at A = (180-90)/2 = 45

Who Would Like To Help Me??

Answers

Answer:

The answer is 128 bunches because 1027/8 = 128.375

Then I multiplied 128*8

which is equal to 1024

So the left over is 3 after subtracting the initial.

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