the set of all possible factors of 18, 30 and 36 then make a set of their common factors and find the H.C.F . please explain briefly​

Answers

Answer 1

Answer:

HCF = 6

Step-by-step explanation:

Listing the factors of each number

18 is 1, 2, 3, 6, 9, 18

30 is 1, 2, 3, 5, 6, 10, 15, 30

36 is 1, 2, 3, 4, 6, 9, 12, 18, 36

common factors are 1, 2, 3, 6

the HCF is 6


Related Questions

I need some help with math
#1 rewrite this in standard form, then state the center of the circle as an ordered pair and identify the radius. Show your work
y^(2)-14y+x^(2)-4x+37=0

#2 Write the equation of the circle with center (-2,15) and radius 3.

Answers

Answer:

[tex](y-7)^2+(x-2)^2=16[/tex]

and

[tex](x+2)^2+(y-15)^2 = 9[/tex]

Step-by-step explanation:

The standard equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where the coordinate (h,k) is the center of the circle.  

Second Problem:

We can start with the second problem which uses this info very easily.(h,k) in this problem is (-2,15) simply plug these into the equation. [tex](x--2)^2+(y-15)^2=r^2[/tex] .We can also add the radius 3 and square it so it becomes 9. The equation.This simplifies to [tex](x+2)^2+(y-15)^2 = 9[/tex].

First Problem:

The first problem takes a different approach it is not in standard form. But we can convert it to standard form by completing the square.[tex]y^2-14y+x^2-4x+37=0[/tex] first subtract 37 from both sides so the equation is now [tex]y^2-14y+x^2-4x=-37[/tex].[tex]y^2-14y+x^2-4x+37=0[/tex] by adding [tex](-\frac{b}{2a} )^2[/tex] to both the x and y portions of this equation you can complete the squares. [tex](-\frac{b}{2a})^2=(-\frac{-14}{2(1)})^2[/tex] and [tex](-\frac{-4}{2(1)})^2[/tex] which equals 49 and 4.Add 49 and 4 to both sides and the equation is now:[tex]y^2-14y+49+x^2-4x+4=-37+49+4[/tex] You can simplify the y and x portions of the equations into the perfect squares or factored form [tex](y-7)^2[/tex] and [tex](x-2)^2[/tex].Finally put the whole thing together. [tex](y-7)^2+(x-2)^2=16[/tex].

I hope this helps!

Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

a = 7.3 in.
b = 13.2 in.
c = 15.8 in.

A = 27.3°, B = 56.1°, C = 96.6°
No triangle satisfies the given conditions.
A = 29.3°, B = 54.1°, C = 96.6°
A = 25.3°, B = 56.1°, C = 98.6°

Answers

Answer:

A) A = 27.3°, B = 56.1°, C = 96.6°

Step-by-step explanation:

Use the Law of Cosines:

A = arccos [(b² + c² - a²)/(2bc)] = arccos [(13.2² + 15.8² - 7.3²)/(2*13.2*15.8)] = 27.3° B = arccos [(a² + c² - b²)/(2ac)] = arccos [(7.3² + 15.8² - 13.2²)/(2*7.3*15.8)] = 56.1°C = 180° - (A + B) = 180° - (27.3° + 56.1°) = 96.6°

Correct choice is A.

What is the period of the graph of y=1/2 sin (2πx) -3?
A. 1
B. 1/2
C. 3
D. 2π

Answers

Answer:

A. 1

Step-by-step explanation:

Since this graph is in the form A sin (B(x+c))+d, where

the amplitude is the absolute value of AThe period is 2pi/BPhase Shift is CMidline is y=D

Therefore, the values are

A=1/2

B=2pi

C=0

D=-3

So the period is 2pi/2pi which is 1.

1.) Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

2.) Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

3.) Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Answers

9514 1404 393

Answer:

x = x+10 = x+1x+1 = x+1

Step-by-step explanation:

1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.

If we choose to make our equation ...

  x = x +1

Subtracting x from both sides of the equation gives ...

  0 = 1

There is no value of the variable that will make this be true.

__

2. Something that reduces to x = c will have one solution. One such equation is ...

  0 = x+1

  x = -1 . . . . subtract 1 from both sides

__

3. Something that reduces to x = x will have an infinite number of solutions.

One such equation is ...

  x+1 = x+1

Subtracting 1 from both sides gives ...

  x = x . . . . true for all values of x

29. SCUBA DIVING The sign shows the equipment rented or sold by a scuba
diving store.
a. Write two expressions to represent the total sales to rent 2 wet suits,
3 air tanks, 2 dive flags, and selling 5 underwater cameras.
b. What are the total sales?

Answers

The total sales to rent the diving items are :

2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)

2(17.25 + 5.00) + 3(15.50) + 5(18.99)

The total sales to rent the diving items is : $185.95

Given the following rental cost:

Underwater Camera = $18.99

Air tank = $15.50

Wet Suit = $17.25

Dive Flag = $5.00

Expressions to represent the cost of :

2 wet suits, 3 air tanks, 2 dive flags and 5 underwater cameras

Price = price per item × quantity purchased

Expression 1 :

2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)

Similarly, we could group items with the same quantity together :

2(17.25 + 5.00) + 3(15.50) + 5(18.99)

Using either of the two expressions above, the total sales can be calculated thus :

2(17.25 + 5.00) + 3(15.50) + 5(18.99)

2(22.25) + 3(15.50) + 5(18.99)

44.50 + 46.50 + 94.95

= $185.95

The expressions for the total sales to rent the diving items are given above with a total sales value of $185.95

Learn more : https://brainly.com/question/24395568

Please help me solve this!

Answers

Answer:

Step-by-step explanation:

Reference angle = 27

height = 2

Sin(27) = opposite / hypotenuse

hypotenuse = opposite / sin(27)

opposite = 2

hypotenuse = 2 / sin(27)

hypotenuse = 4.405

The ramp has to be 4.41 feet long.

The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the
sequence?

Answers

Answer:

53=-3+14d

56=14d

d=4 that is the common difference

Evaluate the Expression z(z-7) when z=10

Answers

Answer:

30

Step-by-step explanation:

z(z-7)

Let z= 10

10(10-7)

Parentheses first

10 (3)

Multiply

30

Answer:

[tex]\huge\boxed{\sf 30\\}[/tex]

Step-by-step explanation:

= z ( z - 7 )

Put z = 10

= 10 ( 10 - 7 )

= 10 ( 3 )

= 30

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

Complete the statement with always, sometimes, or never. Explain your reasoning.

An altitude is _____ the same line segment as an angle bisector.

Answers

Step-by-step explanation:

it's ur answers I hope it's helpful

Suppose the following equation is true:
3^x=81^y
What is the connection between x and y?

Answers

Answer:

x=4y

Step-by-step explanation:

3^x=3^4y

x=4y

am I correct?

Can someone help me here and check out the other two i have posted there both due soon and i have no clue how to do them

Answers

Answer:

Since the question doesn't mention in what tide the answer should be, I will be giving a solution to both, the high and low tide. Hope this helps :)

Step-by-step explanation:

Using a cosine function, where time is measured in hours past high

tide:  y=4cos30x + 10

Using a cosine function, where time is measured in hours past low

tide:  y = 4cos[30(x-6)]+10

A cylindrical bucket is 24 cm tall and has a radius of 5 cm. Approximately, what is the
bucket's volume?

Answers

Answer: 1884 cm³

Step-by-step explanation:

cylinder volume = π · r² · h

h = height = 24 cmr = radius = 5 cmπ = pi ≈ 3.14

π · r² · h = 3.14 · 5² · 24 = 3.14 · 25 · 24 = 1884 cm³

am thinking of a number multiplying it by 4 then subtracting 6 the answer is greater than 14. Write the inequality

Answers

Answer:

4x - 6 > 14

Step-by-step explanation:

4x - 6 > 14

4x = 20

x = 5

The graph below shows the solution set of which inequality?

Answers

[tex]\Large \boldsymbol{} \pmb {Answer: |x|<6}[/tex]

Step-by-step explanation :

[tex]\displaystyle \Large \boldsymbol{} |x|< 6 =>{ \left \{ {{\!\!\!x< 6} \atop {x> -6}} \right. } => \boxed{x \in (-6 ; 6 )} \ \ right[/tex]

Step by step solution

Answers

Answer:

b is correct answer

Step-by-step explanation:

when we write logarithmic terms we change the result from number which is power of 3


Mary can do a job in 80 minutes, Working with Jané, both can do the job in 30
minutes. How long will it take Jane to do the job alone?

Answers

Answer:

see below

Step-by-step explanation:

The equation to determine the work time is

1/a+1/b = 1/c  where a and b are the times alone and c is the time together

1/80 + 1/30 = 1/c

Multiply by the least common denominator to clear the fractions, which is 240c

240c(1/80 + 1/30 = 1/c)

3c+8c = 240

11c = 240

Divide by 11

11c/11 =240/11

c = 240/11 minutes

c=21.81818

Approximately 22 minutes

simplify
please to the end

Answers

THIS MIGHT NOT BE RIGHT CAUSE I'M SICK

10x2y+40x2−2xy3−8xy2 factories this expression​

Answers

Answer:

2(10y + 40 -11xy)

Step-by-step explanation:

First, multiply the expression

20y +80 -6xy - 16xy

Then collect like terms

20y + 80- 22xy

And then lastly factories the expression

2( 10y + 40- 11xy )

3/5 of 1 hour is? pls give me the answer

Answers

1hr=60min

[tex]\\ \sf\longmapsto \dfrac{3}{5}\;of\;60min[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{5}\times 60[/tex]

[tex]\\ \sf\longmapsto \dfrac{180}{5}[/tex]

[tex]\\ \sf\longmapsto 36min[/tex]

Hola pordrian ayudarme con esto:
Resuelve las ecuaciones aplicando la fórmula general
a) 2xsobre2-7×+3=0
Hace mucho que ni hacia este tipo de problemas y por eso les pido su ayuda

Answers

Answer:

sorry I don't understand can somebody help him??

Line A is represented by the following equation: X + y = 2

What is most likely the equation for line B so the set of equations has no solution?

Answers

Answer:

x+y=3

Step-by-step explanation:

For an equation to have no solution, their slope needs to be same and y intercept needs to be different,

so in this case where x+y=2

doing simply, x+y=3 makes a set of equation which has no solution, you can take any real value which is not 2

Which angles are adjacent to each other?

Angle 8 and Angle 4
Angle 3 and Angle 6
Angle 2 and Angle 7
Angle 4 and Angle 3​

Answers

Answer:

<4 and <3

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and a common side but do not overlap.

I hope this helps.

Answer:

angles 4 and 3

Step-by-step explanation:

its the right answer

URGENT PLEASE HELP. In the triangles below, DF MN, DG MP, D P. Can you prove that DFG MNP? Explain your answer. (15 points)

Answers

Answer:

FDG=NMP

Step-by-step explanation:

You can see below that the bases DG and MP are equal, and one of the saides DF and NM are equal, and D=P, so the triangles are the same, you can also see the triangles are isosceles, so they are the same since NM=FD=FG=NP and FD=NM is shown in the picture

A square has a perimeter of 80 m. What is the length of each side?

Answers

Answer:

20 m

[tex]p = 4a \: thus \: a = p \div 4 = 80 \div 4 = 20 \: m[/tex]

Answer:

20

Step-by-step explanation:

P=4L

80=4L

L=80/4

L=20m

Could anyone please help me with this question, this is my last one?

#iamarookie

Giving away 15 points this time and I just need help on QUESTION B!

Answers

Answer:

28 = 2² x 7

Step-by-step explanation:

Factors of 28: 1, 2, 4, 7, 14, 28.

Prime factorization: 28 = 2 x 2 x 7, which can also be written 28 = 2² x 7.

plss answer hihihihihihihihiihihihihihihihihihihih

Answers

Answer:

C - 60

Step-by-step explanation:

4x^2 = 144

x = 6

p=10*6

P=60

Answer:

hi, thanks for asking! the answer to this question is, 108.

Step-by-step explanation:

first, you must think how much it adds up to if u add the numbers toghether. then, boom!

hope this helps<3

Worth 6 points please help!!

Answers

Answer:

-9

Step-by-step explanation:

The average rate of change is found by

f(5) - f(2)

------------

5-2

10 - 37

----------

5-2

-27

-----

3

-9

Pls help me it’s algebra

Answers

Answer:

x^2 + 13x + 2

Step-by-step explanation:

The perimeter is all of the sides added up.

11 + 3x + x^2 + 2 -(-6x+5) + 2/5(10x-15)

11 + 3x + x^2 + 2 + 6x -5 + 4x - 6

x^2 + 13x + 2

Basically, we combine like terms and you will get a final answer of:

x^2 + 13x + 2.

This is the simplified expression! I hope this helped.

Help anyone can help me do this question,I will mark brainlest.​

Answers

Step-by-step explanation:

we first find area of the whole shape outer core which is

we use the fomulae of a circle 22/7 represent pie

=1/2 *22/7*8,5

=13,36

then we find the inner core of the shape which is

1/2*22/7*5,5

=8,64

then we substracte to get the shaded part 13,36-8,64

=4,72cm

Answer:

≈ 16.5 cm²

Step-by-step explanation:

The area of the bar (A) is

(area of outer circle - area of inner circle) ÷ 2

r₂ = 8.5 ÷ 2 = 4.25 , r₁ = 5.5 ÷ 2 = 2.75 , then

A = (πr₂² - πr₁²) ÷ 2

   = (π(r₂² - r₁²) ) ÷ 2

   = (π(4.25² - 2.75²) ) ÷ 2

   = (π(18.0625 - 7.5625) ) ÷ 2

   = (10.5π)÷ 2

   ≈ 16.5 cm² ( to the nearest tenth )

a triangle has a base measuring 6 feet and a height measuring 8.3 feet. How many triangles of this area would fit inside a rectangle with a width 12 feet and a length of 33.2 feet?

Answers

Area of the triangle = 1/2 x base x height

Area of triangle = 1/2 x 6 x 8.3 = 24.9 square feet.

Area of rectangle = length x width

Area of rectangle = 33.2 x 12 = 398.4 square feet.

To find the number of triangles that can fit in the rectangle divide the area of the rectangle by the area of the triangle:

398.4 / 24.9 = 16

Answer: 16 triangles

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