simplify the following​

Simplify The Following

Answers

Answer 1

Answer:

1) 11[tex]\sqrt{3}[/tex]

2) 2[tex]\sqrt{2}[/tex]

3) [tex]20\sqrt{3} + 15\sqrt{2}[/tex]

4) [tex]53 + 12\sqrt{10}[/tex]

5) -2

6) [tex]7\sqrt{2} - 5\sqrt{3}[/tex]

Step-by-step explanation:

1) 2[tex]\sqrt{12}[/tex] + 3[tex]\sqrt{48}[/tex] - [tex]\sqrt{75}[/tex]

=(2 × 2[tex]\sqrt{3}[/tex] )+ (3 × 4[tex]\sqrt{3}[/tex]) - 5[tex]\sqrt{3}[/tex]

= 4[tex]\sqrt{3}[/tex] + 12[tex]\sqrt{3}[/tex] - 5[tex]\sqrt{3}[/tex]

= 11[tex]\sqrt{3}[/tex]

2) 4[tex]\sqrt{8}[/tex] -2[tex]\sqrt{98}[/tex] + [tex]\sqrt{128}[/tex]

= (4 × 2[tex]\sqrt{2}[/tex]) - (2 × 7[tex]\sqrt{2}[/tex]) + 8[tex]\sqrt{2}[/tex]

= 8[tex]\sqrt{2}[/tex] - 14[tex]\sqrt{2}[/tex] +8[tex]\sqrt{2}[/tex]

= 2[tex]\sqrt{2}[/tex]

3) 5[tex]\sqrt{12\\}[/tex] - 3[tex]\sqrt{18} + 4 \sqrt{72} +2\sqrt{75}[/tex]

= 5× [tex]2\sqrt{3}[/tex] - 3×[tex]3\sqrt{2}[/tex] + 4×[tex]6\sqrt{2}[/tex] + 2×[tex]5\sqrt{3}[/tex]

= [tex]10\sqrt{3} - 9\sqrt{2} +24\sqrt{2} +10\sqrt{3}[/tex]

= [tex]20\sqrt{3} + 15\sqrt{2}[/tex]

4) [tex](2\sqrt{2} + 3\sqrt{5} )^{2}[/tex]

= [tex]8 + 12\sqrt{10} + 45[/tex]

= [tex]53 + 12\sqrt{10}[/tex]

5) [tex](1+\sqrt{3} ) (1-\sqrt{3} )[/tex]

= [tex]1 - 3[/tex]

= -2

6) [tex](2\sqrt{6} -1) (\sqrt{3} -\sqrt{2} )[/tex]

= [tex]2\sqrt{18}-2\sqrt{12} -\sqrt{3} +\sqrt{2}[/tex]

= 2×[tex]3\sqrt{2}[/tex] - 2×[tex]2\sqrt{3}[/tex] - [tex]\sqrt{3} + \sqrt{2}[/tex]

= [tex]6\sqrt{2} - 4\sqrt{3} -\sqrt{3} +\sqrt{2}[/tex]

= [tex]7\sqrt{2} - 5\sqrt{3}[/tex]

Hope the working out is clear and will help you. :)

Answer 2

Step-by-step explanation:

please I solved the question in the diagram above

Simplify The Following
Simplify The Following
Simplify The Following
Simplify The Following

Related Questions

Which whole number property is represented?

(8 × 2) × 6 = 8 × (2 × 6)

Answers

Answer:

(8 × 2) × 6 = 8 × (2 × 6) represents associative property of whole number.

Help Me!

In the quadrilateral ABCD shown below, the sides AB and CD are parallel. M is the Mid point of the side BC.

The lines DM and AB extended, meet at N.

[tex]\large\sf\color{Aqua}\underline{Questions}[/tex]

i) Are the areas of ∠DCM and ∠BMN equal?why?

ii) What is the relation between the areas of the quadrilateral and the triangle ADN?​

Answers

Answer:

Given:

DC ║ ABCM = MB as M is midpoint of BC

i) Since DN and BC are transversals, we have:

∠DCM ≅ ∠NBM and∠CDM ≅ ∠BNM as alternate interior angles

As two angles and one side is congruent, the triangles are also congruent:

ΔDCM ≅ ΔNBM (according to AAC postulate)

So their areas are same.

ii)

The quadrilateral has area of:

A(ADCB) = A(ADMB) + A(DCM)

And the triangle has area of:

A(ADN) = A(ADMB) + A(NBM)

Since the areas of triangles DCM and NBM are same, the quadrilateral ADCB has same area as triangle ADN.

Answer:

I think I have proved it before you asked this question before also.

Step-by-step explanation:

SEE the image for solution.

HOPE it helps

Have a great day

Pls helppppppppppp I don’t understand

Answers

Answer:

First, just  to recap, the angle that has a measure of 60 and the angle that has a measure of 2x+14 are vertical angles.

This means, that they are equal to each other.

Knowing this, the rest is pretty easy. We just set up an equation:

60 = 2x+14

And solve for x: (I'm going to speed through, but let me know if you need me to go step by step...)

2x = 46

x = 23

Let me know if this helps!

Hello, who can help me solve this problem?Please see the picture below and take a look

Answers

9514 1404 393

Answer:

  C

Step-by-step explanation:

It's about making up a rule that gets from one figure to the next. Here's the rule I used:

The bottom left segment is rotated 1/8 turn CW from one figure to the next.

The top middle segment is rotated 1/4 turn CW from one figure to the next.

After steps, the top middle segment will be back in the same place. The lower left segment will be in the opposite corner. This corresponds to figure C.

Write the following statement in equation form using variables x and y. "Sum of two numbers is 15 and difference is 11.​

Answers

Answer:

see explanation

Step-by-step explanation:

Using x and y to represent the 2 numbers with x > y , then

x + y = 15 → (1)

x - y = 11 → (2)

Adding the 2 equations term by term to eliminate y

2x = 26 ( divide both sides by 2 )

x = 13

Substitute x = 13 into (1)

13 + y = 15 ( subtract 13 from both sides )

y = 2

The 2 numbers are 13 and 2

21in. = _____ft. terminating or repeating

Answers

Answer:

Terminating

Step-by-step explanation:

We know that 12 inches is 1 foot. We can divide to find how many feet we have.

21 / 12 = 1.75

Since the decimal ends at 0.05, the decimal is terminating.

Best of Luck!

21in.=1.75ft. terminating or repeating

Line LR bisects MN at point L. Find the length of ML if MN = 152 ft.

Answers

Answer:

[tex]ML = 76\text{ feet}[/tex]

Step-by-step explanation:

Since Line LR bisects MN at point L, by the definition of bisector:

[tex]\overline{ML} \cong \overline{LN}[/tex]

We want to determine ML if MN measures 152 feet.

MN is the sum of ML and LN. Hence;

[tex]ML + LN = MN[/tex]

Since ML = LN and MN = 152:

[tex]ML + (ML) = (152)[/tex]

Simplify:

[tex]2ML = 152[/tex]

And divide. Therefore:

[tex]ML = 76\text{ feet}[/tex]

In conclusion, ML measures 76 feet.

FA is a line, line segment, and a ray

Answers

Answer:

False, FA can't be all three. (See explanation below to see which one FA is.)

Brainliest, please!

Step-by-step explanation:

A line has goes on and on forever in two different directions.

A line segment has two endpoints and does not go on and on forever.

A ray has one endpoint and goes on and on forever in one direction.

It is impossible for FA to be all three, or two even.

A wall in Marcus's bedroom is 8 2/5 feet high and 16 2/3 feet long. If he paints 1/2 the wall blue, how many square feet will be blue?

Answers

Answer:

70 ft^2

Step-by-step explanation:

Find the area of the wall

A = l*w where l is the length and w is the width

A = 8 2/5 * 16 2/3

Change to improper fractions

A = 42/5 *50/3

  Rewriting

A = 42/3 * 50/5

    = 14 * 10

A = 140 ft^2

He paints 1/2

1/2 (140) = 70 ft^2

Convert 300 grades to a radian measure

A=5pi
6
B=6pi
5
C=3pi
5
D=5pi
3

Answers

Answer:

5pi/3

Step-by-step explanation:

The conversion factor is pi/180

300 *pi/180 = 300pi/180 = 30pi/18  = 5pi/3

Which two repeating decimals are equivalent to 10/11 A b c or D

Answers

Answer:

I think it is 0.909090909090. Hope this helped.

Step-by-step explanation:


A factory inspector found flaws in 3 out of 18 wooden boxes. What is the experimental probability that the next wooden box will be flawed?
Write your answer as a fraction or whole number.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{1}{6}[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Box Probability}}\\\\\rightarrow \frac{\text{# of boxed flawed}}{\text{# of boxes checked}} \\\\\rightarrow \frac{3}{18}\\\\\rightarrow \frac{3/3}{18/3}\\\\\rightarrow\boxed{\frac{1}{6}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589. You must show all of your work to receive credit.

PLSSS SHOW WORK <3

Answers

Answer:

x = 18

Step-by-step explanation:

First, let's find the ratios between the two triangles

We'll use AV and AC

372 ÷ 589 = 12/19

All of the sides of the smaller triangle are 12/19 of the bigger triangle

Now let's find x

We know that AU + UB = AB

So it's 20x + 108 + 273 = AB

12/19 of a bigger triangle side equals a small triangle side

(12/19)AB = AU

For this equation multiply both sides by 19/12 to isolate AB

(12/19)AB x 19/12 = AU x 19/12

AB = (19/12)AU

Now we have this

20x + 108 + 273 = (19/12)(20x + 108)

20x + 381 = (19/12)(20x + 108)

Distribute the 19/12

20x + 381 = 95/3x + 171

Move all like terms to one side

20x + 381 = 95/3x + 171

       - 171                 - 171

20x + 210 = 95/3x

- 20x           - 20x

Don't forget about common denominators

210 = 95/3x - 60/3x

210 = 35/3x

Multiply both sides by 3

210 x 3 = 35/3x x 3

630 = 35x

Divide both sides by 35

630/35 = 35x/35

x = 18

Answer:

Step-by-step explanation:

[tex]\frac{20x+108}{20x+381}[/tex] = [tex]\frac{372}{589}[/tex]

589( 20x + 108 ) = 372( 20x + 381 )

11780x + 63612 = 7440x + 141732

4340x = 78120

x = 18

tan30°+cos30°÷tan30°×cos30°​

Answers

Answer:

{1/√3+1/2} ÷{1/√3× 1/2}

(2+√3)/2√3÷(1/2√3)2+√3+1 /2√3(2+1 )+√3 /2√33 +√3 /2√3

Helpppppppppp I need help

Answers

Answer:

she is 4 years old just divide 39 by 9

joe measures the side of a square correct to 1 decimal place. he calculates the upper bound for the area of the square as 37.8225cm².

work out joe's measurement for the side of the square

Answers

The side of the square is 6.2 cm

A square is a quadrilateral with four equal sides.

Characteristics of a square includes:

• The diagonals bisect each other at 90°.

• Opposite sides parallel and of equal length

• The four angles of a square are equal.

Area of a square = length of a side²

37.8225cm² = length of a side²

To determine the length of a side, find the square root of 37.8225cm²

37.8225cm² = 6.15cm

To round off to one decimal place, look at the second number after the decimal (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

The hundredth number is 5, so one would be added to one. the number then becomes 6.2cm

Learn more on how to determine the side length of a square here : https://brainly.com/question/10646504?referrer=searchResults

the length and breadth of a hall is two times its breadth and the breadth is two times its height if the cost of papering its wall at rs 25 per sq metre is rs 10800 find the cost of paving marbles on its floor at rs 250 per sq .metre
.•♫•♬•plzz helpp•♬•♫•.•♬•♫•.​

Answers

Answer:

Answer

Let height of the room be 'h' m.

∴ length of the room=2hm

breadth of the room=

2

3

hm.

area of 4 walls=

1.60

179.20

=112m

2

2(l+b)×h=112

2(2h+

2

3

h)×h=112

2

7

×h

2

=112

h

2

=

14

112×2

=16

h=

16

=4m

length=4×2=8m, breadth=

2

3

×4=6m

for, tiling the floor area=l×b=8×6=48m

cost of tiling=48×6.75=Rs.324

Convert 3
8 into a decimal.

Answers

Answer:

0.375

Step-by-step explanation:

3/8=0.375, use a calculator for this or long division

Given that MTW = CAD, which segments are corresponding parts of the congruent triangles? MT CD MW CA TW. AD​

Answers

Answer:

TW correspondant to AD

Step-by-step explanation:

That's the right answer

Segments TW and AD are corresponding parts of the congruent triangles.

What are congruent triangles?

Two triangles are called congruent if their corresponding sides and angles are congruent.

Given that,  Δ MTW ≅ Δ CAD

The congruent parts are;

MT = CA

TW = AD

MW = CD

∠ M = ∠ C

∠ T = ∠ A

∠ W = ∠ D

Hence, Segments TW and AD are corresponding parts of the congruent triangles.

For more references on congruent triangles, click;

https://brainly.com/question/12413243

#SPJ2

find the mixed number of 18/3??​

Answers

Answer:

6

Step-by-step explanation:

Answer: 18/3 as a mixed number should be just 6/1(6). because 18 divided by 3 is 6.

pls help me asap!!!!!!

Answers

(4p+8) degrees equals 180. 172/4 =43. P=43

Evaluate 5⁰-5¹ in positive index form

Answers

Step-by-step explanation:

5⁰ - 5¹ = -4¹

(1/3)^‐1 + 2^-1 = 3 + 1/2 = (7/2)¹

Answer: -5

Step-by-step explanation: 5^0 is 0 and 5^1=5

0-5=-5

1: solve 2/5×1/3-3/7×5/9+2/5×1/8
2:2x-3=x+2
​plesswe

Answers

1. = -23/420

2. x = 5


Find the value of x for which the lines p and q are parallel.

Answers

Answer:

7 is the answer..........

Answer:

x = 7 (C)

Step-by-step explanation:

So first we need to be able to know the value of 14x + 18. Which is 116 degrees. This is because it is corresponding to the angle labelled 116 degrees and corresponding angles are equal so:

14x + 18 = 116

14x + 18 - 18 = 116 - 18 Here you collect like terms then the equation will look like this:

14x = 116 - 18 116 - 18 = 98

14x = 98 Divide both sides by 14

14x / 14 = 98 / 14

x = 7 So your answer is 7.

HOPE THIS HELPED

what is the probability of choosing a green marble from a jar containing five red, 6 green, and four blue marbles​

Answers

Answer:

6/15

Step-by-step explanation:

add all the marbles up and you get 15

6 green ones out of 15 marbles

Answer:

2/5

Step-by-step explanation:

6 green+5 red+4 blue = 15 marbles

P(green) = number of green/ total

              = 6/15 = 2/5

3(m + 3) = 3m - 9
no solution, one solution, or many solutions? which one?
marking brainliest

Answers

Answer:

3(m+3) = 3m -  9

3m+9 = 3m-9

9 = -9???

clearly, this does not work, so there are NO SOLUTIONS.

Let me know  if this helps!

SOMEONE HELP ME PLS

Answers

Answer:

as both triangles are congruent......

AB = PQ

BC = QR

CA = RP

So AB = PA so... 2x + 1 = x + 7

so x = 7 - 1 = 6

now BC = QR so.... 4y + 3 = 2y + 11

so 2y= 8 and y= 4

brainliest plssssss

What is the slope of a line that passes through the points (-2, 4) and (-6, 12)?

Answers

Here’s the answer to your question
Hope you understand it!,

Answer:-3\2

Step-by-step explanation:

slope is difference y axis by x axis

4-12/-2+6=-6/4=-3\2

please help with this i don’t understand

Answers

Answer:

Line I has a slope positive slope

Step-by-step explanation:

If the line is pointing to Quadrant I, the slope of the line is positive but if the line is pointing to Quadrant II, the slope is negative.

••••••••••••••••••••••••••••••
doomdabomb:

all brainliest and thanks
are appreciated and would
mean a lot to me, thanks!

Is this relation a function?

Answers

Answer:

Hello,

Answer D

Step-by-step explanation:

In a function a value may not have 2 images.

y1=f(x1) and y2=f(x1) ==> y1=y2

Other Questions
where is the area you applied the concept of opportunity cost in schoool life? C no dolfneidlxnxbxjkdkdmd dnkfldmfkdBirifnff Which cells contain chloroplasts? Question 4 of 20Which energy transfer occurs when a cube of ice is placed in a glass ofwater?A. The chemical energy of the ice is transferred to the liquid water.B. The nuclear energy in the water molecules is released from the iceinto the liquid water.C. Gravitational potential energy is transferred from the liquid waterto the ice.O D. Thermal energy is transferred from the liquid water to the ice.SUBMIT On a horizontal number line, numbers to the...... are less than numbers to the..... Numbers to the right are........ numbers to the left. What would most likely happen to a unicellular organism if it was exposed to a hypotonic solution for an extended period of time?It would shrivel and shrink.It would swell but never burst.It would swell and then burst.It would not be affected. Match the property with its correct namematch the property to its correct nameA} additive inverse propertyB} multiplicative inverse propertyC} commutative property of multiplicationD} multiplicative identityE} commutative property of complementF} ascending property of multiplicationG} distributive propertyH} associative property of multiplicationI} additive identification propertyJ} zero property{1} x+(y-z)=(x+y)+z2} (pq) * 1 = pq3} (5x)y-5(xy)4} a+5b = 5b + a 5} a+0=a 6} gh - hg7} 8 + (-8)=08} x * 0 = 09} 5 * (1/5)=110} 2(a+h)=2a * 2b 4. Find the range of the number line shown below. Find the area of the sector. how has the Trail of Tears beenremembered by the Cherokee people? Why do you think this isthe case? 4. Which property of similarity can be used to prove triangles DEF and GHI are similar? 7 10/3 x 3 1/10= Can you explain step by step to meThanks What is the range of the function graphed below?1e62-682-6--8A. -< y < 2B.-00 < y < -2C. - D-2 < y < 0 Please help explanation if possible please help a(8x + 2y) = 8ax + 2/x^2 in indices form explanation. I know the answer is 2x^-2 but I want an explanation. All of the data in a digital book (letters, punctuation, spaces, etc) are stored and processed in a computer as binary. Break down how this works (hint: Ascii) . Explain in three or more sentences: Please Answer ASAP, Brainiest for Best and most In detail answer!!!!! the distance travelled by light in 1year is called light year. the valued of 1 light year is about 9460000000000km.express it in scientific notation. Please help me I will give brainlist E. Rewrite the sentences using one of the verbs below remind order admit deny 1. 'I didn't use your laptop. Greg said to Larry. 2. 'Go to your room immediatelyl' my mother said 3. 'Don't forget to call Victor, Oliver said. 4.'OK. I broke your mobile, Ann said.