Simplify the radical expression-



I’ll give Brainliest to the first person

Answer:

Step-by-step explanation:

a. These triangles are proportional. Identify the corresponding sides for all three sides.

40 AB------30 YZ

50 AC-------37.5 XY

60 BC---------45 XZ

b. Set up fractions with your corresponding sides to show proportionality. Make sure to show your work for all three side pairs demonstrating that the fractions are proportional.

Fraction: 3/4

40 x3/4 = 30

50 x 3/4 =  37.5

60 x 3/4 = 45

c. Are the triangles similar? If so explain why. If not, explain why not. Your work from Part A & B may help with this.

The triangles are similar

The Side-Side-Side Similarity Theorem states: “If all three corresponding sides of two triangles are proportional, then the triangles are similar".

Answer:

A. Sides AB, BC, and CA are proportional to YZ, ZX, and XY, respectively.

B. 3/4(AB) = YZ, 3/4(BC) = ZX, 3/4(CA) = XY

3/4 x 40 = 30    3/4 x 60 = 45    3/4 x 50 = 37.5

C. Yes, by SSS

Step-by-step explanation:

a. and b. are self-explanatory, but I will explain c.

When testing if two triangles are similar, they have to have the same except for scaling and flipping or turning. You know triangles are the same if all three sides are equal (SSS), two angles are equal (AA), or if there are two equal sides with an equal angle between them (SAS).

Since similar tringles can be scaled, these rules turn into if all three sides are proportional (SSS), two angles are equal (AA), or if there are two proportional sides with an equal angle between them (SAS).

These two triangles have proportional sides, so SSS applies and they are similar.

Answer:

4.23 x 10 to the 4, 2 x 10 to the 3, 9.2 x 10 to the 6, 4 x 10 to the 3, 8 x 10 to the 7, and 3.2 x 10 to the 10.

Step-by-step explanation:

I will explain in the comments to this response

The Scientific notation of the number 42300 is 4.23×10⁴.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

Here, 42300 in Scientific notation as 4.23×10⁴.

2000 in Scientific notation as 2×10³.

9200000 in Scientific notation as 9.2×10⁶.

42300 in Scientific notation as 4.23×10⁴.

4000 in Scientific notation as 4×10³.

80 million=80000000 in Scientific notation as 8×10⁷.

32 billion=32,000,000,000 in Scientific notation as 3.2×10¹⁰.

Therefore, the Scientific notation of the number 42300 is 4.23×10⁴.

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Answer:

Step-by-step explanation:

60 - 3y - 9

= 60 - 9 - 3y

= 51 - 3y.

Answer:

It would be sold at 190$

Step-by-step explanation:

200x5/100 or 200 x 0.05

Using the normal distribution, it is found that there is a 0.0125 = 1.25% probability that a randomly selected 10th grade boy exceeds 70 in.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 63.5, \sigma = 2.9[/tex].

The probability that a randomly selected 10th grade boy exceeds 70 in is one subtracted by the p-value of Z when X = 70, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{70 - 63.5}{2.9}[/tex]

Z = 2.24

Z = 2.24 has a p-value of 0.9875.

1 - 0.9875 = 0.0125.

0.0125 = 1.25% probability that a randomly selected 10th grade boy exceeds 70 in.

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Total Mini - Easter eggs = 1345

Number of students = 26

So, let's find how many eggs will each student get through division ~

[tex]\qquad \tt  \dashrightarrow \: \dfrac{1345}{26} = 51 +remainder= 19[/tex]

So, each student will get 51 mini - Easter egg each.

And there would be 19 remaining eggs in there ~

Answer:

its SAS because u can look at the triangle by the sides and angle

Step-by-step explanation: mark brainliset

Answer: 4(3)^w = 972

Answer:

20 + 10(x) = total cost

Step-by-step explanation:

x represents the number of messages, so you multiply it by 10. 20 is a fixed number so you just add it without changing its value.

The fraction 9/8 is the simplest form of the given fraction.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

The fraction is given in the question, as follows:

3/16 x 6

We have to determine the evaluation of the given fraction

As per the question, we have

3/16 x 6

Apply the multiplication operation,

18/16

Reduce the above fraction into the simplest form, and we get

9/8

Thus, the fraction 9/8 is the simplest form of the given fraction.

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Answer:

Option A

Step-by-step explanation:

To simplify this fraction:

We subtract the powers:

[tex]\frac{6^{3} }{6^{6} } = 6^{3-6}[/tex]

[tex]6^{-3}[/tex] = [tex]\frac{1}{6^{3} }[/tex] = 1/216

These answers I wrote in the last line are options B,C and D.

Therefore Option A is not equivalent.

Answer:

a.

Step-by-step explanation:

the study is on teens, and its impossible to survey every teen since they didnt specify how many teens there were. so the answer is a, survey 100 teens.

Answer:

rs 20

Step-by-step explanation:

20=2x-x

20=x

cost price=x=rs20

selling price=2x=rs40

profit=rs20

Answer:

13 and 14.

Step-by-step explanation:

The square root of 180 is 13.416407865. Therefore, the two integers (or whole numbers) that it falls in between is 13 and 14.

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I hope this helps

-No one

Step-by-step explanation:

The coin can result in one of two possibilities. For each of those . . .

The cube has 6 possibilities.

Total possibilities for the coin and the cube = 2 x 6 = 12

Answer:

3

Step-by-step explanation:

9/3 = 3

Answer:

The answer is 3.

Because 3x3 = 9

and 9 divided by 3 equals 3

well, we know its a rectangle, so  hmmm opposite sides are not just parallel but equal, hmmm so the area of this rectangle we can get by Length * Width, in this case that'll be QT * TS

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Q(\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad T(\stackrel{x_2}{2}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ QT=\sqrt{[2 - 0]^2 + [-2 - 1]^2}\implies QT=\sqrt{2^2 + (-3)^2}\implies QT=\sqrt{13} \\\\[-0.35em] ~\dotfill[/tex]

[tex]T(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad S(\stackrel{x_2}{-7}~,~\stackrel{y_2}{-8})~\hfill TS=\sqrt{[-7 - 2]^2 + [-8 - (-2)]^2} \\\\\\ TS=\sqrt{(-9)^2 + (-8+2)^2}\implies TS=\sqrt{117} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{\sqrt{13}\cdot \sqrt{117}\implies \sqrt{1521}\implies 39}[/tex]

The probability of pulling out a blue ball is 1/3

This is a likelihood or chance that an event will occur. Mathematically:

Probability = Expected/Total outcome

If someone randomly reaching into a bag of 8 red table tennis balls and 4 blue table tennis balls, the total outcome is:

Total outcome = 8 + 4 = 12 balls

If a blue ball is pulled out then the probability of pulling it out is:

Pr(blue ball) = 4/12 = 1/3

Hence the probability of pulling out a blue ball is 1/3

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A. -3

Hope it helps............

The greatest value in the set (-144, -4, -3, -13) is,

⇒ - 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The set is,

⇒ (-144, -4, -3, -13)

Now, By the given set we have;

⇒ - 144 < - 13 < - 4 < -3

Therefore, We have;

The greatest value in the set (-144, -4, -3, -13) is,

⇒ - 3

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Using the volume of the cube, it is found that the fraction of the prism's volume will bring filled by the sand is of [tex]\frac{3}{5}[/tex].

The volume of a cube of edge length l is given by:

V = l³.

In this problem, there are two cubes, each with edge length of l = 5 cm, hence, the total volume is given by:

V = 2 x l³ = 2 x (5 cm)³ = 250 cm³.

150 cm³ will be filled with sand, hence the fraction is given by:

[tex]\frac{150}{250} = \frac{15}{25} = \frac{3}{5}[/tex]

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Answer:

x < -10

Step-by-step explanation:

Solve the inequality.

-2x + 4 > 24     Subtract 4 from both sides

-2x > 20           Divide both sides by -2

x < -10              We must flip the inequality sign because we divided by a negative number in the last step.

When you graph, draw a number line. Then, draw a circle on top of -10. Since x is less than -10, the arrow goes to the left of -10. Additionally, the circle on top of -10 will be an open circle because the inequality sign is a less than, not a less than or equal to.

I hope this helps and please mark me as brainliest!

Answer:

Part A is ≤ means less than OR equal to. < only means less than

Part B is 9

Step-by-step explanation:

A: Because it would equal 19, and 19 is equal than 19. 4(5) - 1 would equal 19, which is equal to 19, and not less than. ≤ means less than or equal to. < means less than. So its not true.

B: 47 - 2, 45. Then 5 x 9 equals 45. So 5 x 9 equals 45, then add 2 would equal 47.

Answer:

2200

Step-by-step explanation:

i think thats the answer, i tried to do the math

Answer:

2200in^3

Step-by-step explanation:

We can split this graph into cuboids and cubes.

(5+20)×9×8=1800in^3

5×10×8=400in^3

1800+400=2200in^3

Step-by-step explanation:

9, 10,11, 13,18,19,20,23,25,26,29,30,31,31,33,34,37,39,41,42,50,51,51,63,64,73,76,86,89,91

Answer:

9, 10, 11, 13, 18, 19, 20, 23, 25, 26, 29, 30, 31, 31, 33, 34, 37, 39, 41, 42, 50, 51, 51, 63, 64, 73, 76, 86, 89, 91

The volume of the cylinder in cubic meters is 20.886 m^3

We know that the volume is the area of the base times the height.

In this case, the diameter of the base is 18 ft, so the radius (half of that) is:

R = 18ft/2 = 9ft

Then the area of the base is:

B = 3.14*(9ft)^2 = 254.34 ft^2

And the height is 2.9 ft, then the volume is:

V = (2.9 ft)*254.34 ft^2 = 737.586 ft^3

Now, we know that:

1ft = 0.3048 m

if we cube both of these

1 ft^3 = (0.3048 m)^3 = 0.0283 m^3

Now we can change the unis of our volume:

V = 737.586 ft^3 = 737.586*0.0283 m^3 = 20.886 m^3

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The chords in the circle L are illustrations of intersecting chords

The lengths that are even numbers are FJ and GJ

The length AD is given as:

AD = 10

From the circle, we have:

AD = AH + HK + KD

Where:

AH = 3 and KD = 2

So, we have:

10 = 3 + HK + 2

Solve for HK

HK = 5 ---- odd length

Next, we calculate length FH using the following intersecting chord theorem

FH * HB = AH * HD

This gives

(FJ + 3) * 3 = 3 * (2 + 5)

Divide by 3

FJ + 3 = 7

Subtract both sides by 3

FJ = 4 --- even length

Next, we calculate length KE using the following intersecting chord theorem

KE * KC = KD * KA

This gives

KE * 3.2 = 2 * (5 + 3)

Evaluate the product

KE * 3.2 = 16

Divide by 3.2

KE = 5 --- odd length

Next, we calculate length GJ using the following intersecting chord theorem

GJ * JE = FJ * JB

This gives

GJ * 4.5 = 4 * (6 + 3)

Evaluate the product

GJ * 4.5 = 36

Divide by 4.5

GJ = 8 --- even length

Hence, the lengths that are even numbers are FJ and GJ

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