Find the smallest whole number by which 2268 should be multiplied so as to
get a perfect square number. Also find the square root of the square number
so obtained.

Answers

Answer 1

Answer:

Correct option is B)

252=

2×2

×

3×3

×7

The prime factor 7 does not appear in pairs. To make 252 a perfect square we need one more 7.

Hence, the smallest number  by which 252 must be multiplied so that

the product is a perfect square is 7.

And, 252×7=

2×2

×

3×3

×

7×7

252×7

=

2×2

×

3×3

×

7×7

=2×3×7=42

Step-by-step explanation:

Answer 2

To find the smallest whole number by which 2268 should be multiplied to get a perfect square, we need to factorize 2268 into its prime factors. Then, we can determine which prime factors are needed to make the number a perfect square.

The prime factorization of 2268 is:

2268 = 2^2 * 3^2 * 7 * 9

To make it a perfect square, we need to include the missing factors. In this case, we are missing a factor of 2 and a factor of 3. Therefore, we need to multiply 2268 by 2 * 3 = 6.

2268 * 6 = 13608

Now, we have a perfect square number, 13608.

To find the square root of 13608, we can take the square root of each of its prime factors:

√(2^2 * 3^2 * 7 * 9)

= √2^2 * √3^2 * √7 * √9

= 2 * 3 * √7 * 3

= 6 * √7

So, the square root of the square number 13608 is 6√7.


Related Questions

does anybody know what 2x+5y=9 is

Answers

it already simplified but to simply more it’s y/x = -2/5

The bacteria in a petri dish doubles every hour. If there are 3 present, how many will there be in 15 hours?

Answers

Answer:

98304 bacteria

Step-by-step explanation:

3x2^1 = 6

3x2^2 = 12

3x2^3 = 24

3x2^15 = 98304

What is the formula of (a+b)² if you give correct answer I will give you brainliest

Answers

Answer: You will have to multiply (a+b)×(a+b) . Thus is the formula

Step-by-step explanation: hope it is correct .

Answer:

(a+b)² = a² + 2ab + b²

Step-by-step explanation:

Hello!

This is one of three special binomial products:

(a+b)² = a² + 2ab + b²(a-b)² = a² - 2ab + b²(a+b)(a-b) = a² - b²

All you have to do is expand the parenthesis, and this will give you a simple format to follow. This can be used to quickly factor the expanded forms, or quickly multiply the factored forms.

If two lines intersect, their intersection is___________
O many points
O one plane
O many planes
O one point

Answers

Answer:

one point and one plane

Step-by-step explanation:

Any two line if they intersects... they will intersects in one point..

And to have an intersection they always need to be on one plan..

The diameter of a circle is 22 yards. What is the circle's circumference?
Use 3.14 for ​.

Will mark brainleest

Answers

Answer:

the circumference is 69.08

Step-by-step explanation:

If 22 is the diameter, all u do to find the circumference is multiply the diameter by 3.14.

Answer:

34.54

Step-by-step explanation:

22 is diameter

formula for circumference is radius  times pi

2 radius=1 diameter

22/2=11

11*3.14=34.54

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

option A Is the answer

Step-by-step explanation:

Quantity of cup used per batch=3/4

No of batches=5/2

Hence number of cups=5/2×3/4

I hope it helped you

Which of the following is equivalent to
?
60 ^1/2

Answers

Answer:

60^1/2 = 60^0.5 = sqrt 60 = 7.75

good luck :))) <3

What is the solution to the inequality |2x + 3| < 7? 4 < x < 10 –5 < x < 2 x < 4 or x > 10 x < –5 or x > 2

Answers

Answer:

4(−10−9x)

Step-by-step explanation:

a 23 ө C С B 2
help me??​

Answers

a = 30 degrees or pi/6 radian
o = 60 degrees or pi/3 radian

Sorry man, it’s a tough time for figure out

Use this paper and examine the steps. This will help you understand the trigs formula to solve for each.

Write the equation of the circle
with center (2,-5) and radius of 4.
*

Answers

Answer:

[tex](x - 2) {}^{2} + (y + 5) {}^{2} = 16[/tex]

Step-by-step explanation:

Equation of circle is:

[tex](x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} \\ [/tex]

Here (h,k) are the coordinates of center and r is radius

(h,k) =(2,-5)

r. = 4

plug in the values of h,k and r

[tex](x - 2) {}^{2} + (y - ( - 5)) {}^{2} = 4 {}^{2} \\ (x - 2) {}^{2} + (y + 5) {}^{2} = 16[/tex]

Answer:

[tex](x-2)^2+(y+5)^2=16[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given:

center = (2, -5)radius = 4

Substitute the given values into the equation:

[tex]\implies (x-2)^2+(y-(-5))^2=4^2[/tex]

[tex]\implies (x-2)^2+(y+5)^2=16[/tex]

You mix the letters S,E,M,I,T,R,O,P,I,C,A, and L throughly.Without looking,you draw one letter.Find the probability that you select a vowel.Write your answer in simplest form.

A. 12/5

B. 5/12

C. 1/3

D. 7/12

I need this answer in 5 MINUTES!

Answers

Answer:

B. 5/12

Explanation:

Total Letters mixed: {S, E, M, I, T, R, O, P, I, C, A, L} = 12 Letters

There are 5 vowels and they are: 'a', 'e', 'i', ' o', and 'u'

In here the vowels are: E, I, O, I, A = 5 vowels here

So,

probability: number of favourable outcomes/total number of outcomes

probability: 5/12

Evaluate 27+ x when x = 3.
What is the value of the expression

Answers

Answer:

30

Step-by-step explanation:

Evaluating an expression when given a value of an unknown means to substitute the unknown value with a certain value given and simplify fully:

27 + (3)  

Simplify by doing simple addition :

27 + 3 = 30

Therefore our answer is 30.

Hope this helped and brainliest please.

Replace the variable x with 3 in the expression.

27 + 3

Remove parentheses.

27 + 3

Add 27 and 3.

30

Please help me GENIUS Rank

Directions: Complete the following frequency distribution table, then compute the mean, median, and mode of the distribution. Show your complete solutions. (25 points)

Class interval] frequency (f)] fxm
99-101 ] 17 ].
102-104 ] 25 ]
105-107 ] 13 ]
108-110 ]. 16 ]
111-113 ]. 29 ]
total ]N= ]. Efxm=

less than cumutalti frequency (<cf)
[. ]
[. ]
[. ]
[. ]
[. ]
[. ]​

Answers

Hey there!

Here's your required mode

Refer to the image above

And btw,in the earlier question I've done for mean also you can check that again which I've answered earlier.

Hope it helps

Solve for x in the given equation: ax - b = c

Answers

An equation is formed of two equal expressions. The value of x is the equation ax-b=c is (c+b)/(a).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of x in the given equation can be written as,

[tex]ax - b = c\\\\ax = c+b\\\\x = \dfrac{c+b}{a}[/tex]

Hence, the value of x is the equation ax-b=c is (c+b)/(a).

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ1

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

x is 52°

Step-by-step explanation:

Lines m and d are parrallelBecause of this, we can use the alternate angle rule, which is that alternate angles are equalTherefore, 2x - 20 is equal to 84°Create an equation [tex]2x-20=84[/tex]Add 20 to both sides[tex]2x=104[/tex]Divide both sides by 2[tex]x = 52[/tex]

Zearnn help... I've been stuck working hard

Answers

Calculate the area of the room and then subtract the area of the tiled floor.


area of room = 11 3/4 x 5 = 58 3/4

Area of tiled floor = 7 1/2 x 3 1/4 = 24 3/8


area of carpet = 58 3/4 - 24 3/8 = 34 3/8


answer: 34 3/8

Find the area of the triangle.
Height = 4 ft
Base = 12 1/2 ft
Area = ? square feet

Answers

Answer:
25 square feet

Explanation:
Area of triangle= 1/2 * height * base
1/2 * 4ft * 12 1/2 ft
2ft * 12 1/2 ft
25 square feet

Hope this helps you :)

Can someone help me find the volume of this?

Answers

The answer is 194.4 cubic units

Answer:

  97.2 m³

Step-by-step explanation:

The volume of a triangular prism is half the volume of a rectangular prism with the same length, width, and height.

  V = 1/2LWH

  V = 1/2(9 m)(7.2 m)(3 m) = 97.2 m³

_____

Additional comment

The relation we used above comes from the more general formula for the volume of a prism:

  V = Bh

where B is the area of the base.

You know a rectangular base will have an area of ...

  A = bh

and a triangle with the same base and height will have an area of ...

  A = 1/2bh

That is, the base area of a triangle is half that of a rectangle with the same dimensions. When we use this fact in the volume formula, we find the volume of a triangular prism is 1/2 that of a rectangular prism with the same length, width, and height.

Solve for a side in right triangles

Answers

Answer:

The answer is AC = 3.76

Step-by-step explanation:

CohCahToa

Coh: sin(theta) = Opp/Hyp

sin(theta°) = AC/AB

sin(70°) = AC/4

AC = 4*sin(70°)

AC ≈ 3.758770483

AC = 3.76

Answer:

AC = 3.76

Step-by-step explanation:

The opposing side of ∠B needs to be found, where the value of the hypotenuse is given. Take the sin ratio.

sin∠B = AC/4sin70° = AC/40.94 = AC/4AC = 4 x 0.94AC = 3.76

Evaluate and simplify

Answers

Answer:

[tex]\frac{-3}{-26}[/tex]

Step-by-step explanation:

[tex]\frac{-x-8}{x^{2}-4x-21}[/tex] is what you are looking for.

So with x = -5, it would look like this

[tex]\frac{-(-5)-8}{-5^{2}-(-5)4-21}[/tex]

Simple math now.

-(-5) is 5

[tex]-5^{2} = -25[/tex]

-5 * -4 = 20.

So it should be [tex]\frac{5-8}{-25+20-21}[/tex]

5-8=-3

-25+20-21 = -26

So the answer is[tex]\frac{-3}{-26}[/tex]

2 − 4 x 6 Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6.

7 x (5 − 2) + 6
5 + 2 x 7 + 6
7 x (5 + 2) − 6
6 − 2 + (7 x 5)

Answers

Hey there!

2 - 4 * 6

= 2 - 24

= -22


Option A.
7 * (5 - 2) + 6

= 7 * 3 + 6

= 21 + 6

= 27

Option A. is incorrect


Option B.
5 + 2 * 7 + 6

= 5 + 14 + 6

= 19 + 6

= 25

Option B. is also incorrect


Option C.
7 * (5 + 2) - 6
= 7 * 7 - 6

= 49 - 6

= 43

Option C. is also incorrect


Option D.

6 - 2 + (7 * 5)

= 6 - 2 + 35

= 4 + 35

= 39

Thus, it seems like NONE of the ABOVE is correct


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

-What does the “Volume” of a geometric figure mean?

Answers

Answer:

The volume relates to the space inside a figure a measurement amount can take-up

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Step-by-step explanation:

z = 180° - 113° = 67°

sum of angles of quadrilateral shape = 360°

y = 360° - ( 67° + 81° + 106° ) = 106°

I dont know how to do this please help me now

Answers

Answer:

D. (2,5)

Step-by-step explanation:

it's correct go for it

suppose the integers from 1 to 25 are arranged in consecutive order. How many different pairs of integers may be selected if there are at least four integers between the selected integers?

Answers

there is 5 different pairs

i need help with this math

Answers

(-5, 1) (-2, 4)
m = y2 - y1
————
x2 - x1
m = 4 - 1 = 3
———
-2 - (-5) = 3
M = 1

6. Annie has a cube that has a side length of 9 cm. What is the surface area of the cube?​

Answers

Answer:

486

Step-by-step explanation:

Surface area means the area of each side added upIn a cube, every side is the samethe area of one side = 9 * 9 = 81, since it is a square (width*height) and width and height are the same. in a cube there are 6 sidesso there are 6 sides with area 8181 * 6 = 486

Find the probability that a point chosen randomly inside the rectangle is in each given shape. Round to the nearest hundredth.

Answers

its a tringale

Step-by-step explanation:

the number of gallons of gas were in the tank minus 9 leaves 3 gallons

Answers

Answer:

The number of gallons of gas were in the tank minus 9 leves 3 gallons

I don't know that

12 gallons

X-9=3
+ 9 +9
X=12 gallons


Brainliest please

The track is 9.76 m wide all the way around. What is the distance around the outside of the track? Explain or show your reasoning.

Answers

Answer:

The distance around the outside of the track is 4183.58m².

Step-by-step explanation:

The area of running track that goes around the field is 9.76m

To proof :

Formula -

(Area of rectangle = length × breadth)

(Area of running track = outside area - inside area)

First case (outside),

length = 73 +2× 9.76

= 92.52m

Breadth = 84.39 m

radius of outside semi circle,

= 46.26m

outside area = area of rectangle + 2 × area of the semi-circle

= 92.52 x 84.39 + 3.14 x 46.26 × 46 × 26

= 7807.76+6719.56

Second case,

radius of the semi-circle,

=36.5m

inside area = area of rectangle + 2x area of the semi-circle

=73x 84.39+ 3.14x 36.5×36.5

= 6160.47 +4183.27

= 10343.74m²

Now,

Area of running track = 14527.32 m²- 10343.74m²

= 4183.58m²

The distance around the outside of track is 4183.58m².

Other Questions
Wood is an expamle of a natural resource Which of the following was NOT one of Ghana's chief trading exports?A. GoldB. IvoryC. Horses Cartels in the United States are a. legal if price is competitively determined. b. legal if all firms in the industry agree to the terms of the cartel. c. legal if all conditions of the cartel are made public. d. illegal. Do you believe that it is fair to say that that shift in support from the Democrats to the Republicans in the south was entirely about opposition to Civil Rights by southern whites or is there a logical case to be made that much of the Civil Rights movement eroded what was viewed as "traditional American values?" A soda can had a diameter of 6 cm . What is the circumference of the can? Jim makes a $1,000 deposit in an account paying 4% interest per year. He would like to withdraw two equal amounts: in one year and in two years. The amount Jim should withdraw in one year such that he will have the same amount at the end of the second year is close to: Which scenario portrays a round character? which animlal is the only livung descendent of the dinosours a group often says the pledge of allegiance together or in ______ A- unique B- unison C- unicellular D- unidirectional please help asap tysm What is the area of the following triangle? A client diagnosed with delusional disorder is telling everyone that the client is the president of the United States. This client is exhibiting which type of delusion Many manufacturers reduce the size of their products to appear to reduce their prices.The amount of cereal in a particular brand box was reduced by 2.1 ounces. This is a 14% reduction from the original amount. What was the original amount?The original amount was ounces. Identify whether the underlined clause is an adjective clause, adverb clause, or noun clause.The sailboat (that raced against the yacht) was beautiful.nounadjectiveadverb The circumference of a circle is 20pi in. What is the area, in square inches? Expressyour answer in terms of Pi How many moles of gas will occupy a volume of 5.50 L at 6.20 kPa and 45.0 C? 9. An airline food service finds that a recent flight of 120 passengers ordered dinner as depicted in the table below. Based on this data, how many lasagna dinners are likely to be needed for a flight with 380 passengers? Dinner Frequency Chicken 63 Fish 30 Lasagna 25Vegetarian 2 A. 80 B. 85 C. 206 D. 301 what test can determine if a person has hiv or tell how much a virus is present in the blood Stephanie supervises a call center department that receives stress-producing calls from unhappy customers. Turnover has increased by 33 percent over the last four months. Stephanie is understanding and patient with her staff, and tells them she knows what theyre going through because it wasnt so long ago that she took those calls. How would stephanies staff describe her style?. How does princess irene change?the princess and the goblin Computer monitor measurements are typically classified by the diagonal length of the viewable area. What is the measurement of a monitor that has a rectangular viewable area of 16 inches by 12 inches? Round your answer to the nearest tenth if necessary