find the highest common factor (HCF) of 30 and 45

Answers

Answer 1

Answer:

The highest common factor of 30 and 45 is 15.

Step-by-step explanation:

factors of 30 = 1, 2, 3, 4, 5, 6, 10, 15, 30 ; factors of 45 are = 1, 3, 5, 9, 15, 45)

Greatest common factor is 15

Answer 2

Answer:

15.

Step-by-step explanation:

HCF is also called GCD. So, you divide both numbers with a common number that can divide both numbers at the same time without a remainder.

     3    30         45

      5    10          15

            2             3

3 × 5 = 15


Related Questions

can you solve please -8(0.09) (-0.5)=?

Answers

-8(0.09) (-0.5) = 0.36

-8(0.09) (-0.5)

(-0.72) (-0.5)

0.36

Answer:

[tex]\boxed{\sf{0.36}}[/tex]

Step-by-step explanation:

This problem can be solved by multiplying left to right by a decimal.

-8(0.09)(-0.5)

First, you have to do is remove these parenthesis.

[tex]\sf{8*0.09*0.5}[/tex]

Then, you solve.

Multiply.

[tex]\sf{8*0.09*0.5=\boxed{\sf{0.36}}}[/tex]

=0.36

Therefore, the final answer is 0.36.

I hope this helps you! Let me know if my answer is wrong or not.

Select the best estimate of the product of 91 x 58 = ____

Answers

5,278 hope this helps good luck!

10 points !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

- 6/17 = (-6) / 17 (2nde solution)

         = - (6/17) (4th solution)

         = 6/(-17) (last solution)

Use complete sentences to describe the use of an indirect proof.

Answers

Answer:

In an indirect proof, instead of showing that the conclusion to be proved is true, you show that all of the alternatives are false.

The indirect proof serves as a powerful tool in mathematical reasoning, allowing mathematicians to establish the truth of statements by strategically exploiting logical inconsistencies within assumed false premises.

An indirect proof is a method in math where you assume the opposite of what you want to prove, then show that this assumption leads to a contradiction or inconsistency.

This means that the opposite assumption must be false, making the original statement true.

It's a way to prove something by showing that its opposite can't be true.

Hence, Indirect proof assumes opposite, leads to contradiction, proving original statement true. Used when direct proof is challenging or problem suits contradiction.

To learn more on Indirect proof click here:

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What mistake did she make? ill give brainliest

Answers

Answer

C you cannot divide matricies like that

Step-by-step explanation:

you can only multiply by the inverse in which the order matters. if there is a 4th possible answer then that may be more correct

The area of a rectangle is 48 square inches. The length is 98 inches. Write an equation that can be used to find the width of the square.

Answers

Answer:

48 = 98x   (where x is the width)

Step-by-step explanation:

Area of a rectangle = length × width

Let x = width

Given:

area = 48 in²length = 98 in

⇒ 48 = 98x

Answer:

x=0.4897599184

Step-by-step explanation:

→Solution,

Area(A)=48 in²

Lenght(l)=98in

Breadth(b)=?

Let the breadth be x.

As we have,

Area of rectangle=l×b

48 in²=98 in × x

48 in²/98 in = x

x=0.4897599184

I need help!!!!! The question is in the photo btw

Answers

Answer:

114 Feet^2

Step-by-step explanation:

Volume is length*width*height

So we can cut our shape into 2 rectanges.

The bottom one will have the dimensions of 6*1*3 which is 18 feet

And the top one will have the dimensions of 8*4*3 which is 96 feet

Add them up, 96+18=114 feet

Question in photo, please answer ASAP !! Many thanks. : )

Answers

Answer:

Step-by-step explanation:

EF and CD are meant to be parallel. Whatever you do to one, you do the same thing to the to maintain slope symmetry.

So the blank should contain 90 clockwise.

A cylinder and a cone have the same volume. The cylinder has a diameter of 4 inches and a height of 3 inches. The cone has a diameter of 6 inches. What is the height of the cone?

Answers

Answer:

The height of the cone is 4 inches.

Solution :

We are given a cylinder and a cone of same volume i.e

[tex] \longrightarrow[/tex] Volume of cone = Volume of cylinder

And also the diameter of the cylinder is given 4 inches

[tex] \longrightarrow[/tex] Radius = [tex]\sf \dfrac{Diameter}{2}[/tex]

[tex] \longrightarrow[/tex] Radius = [tex] \sf\dfrac{4}{2}[/tex]

[tex] \longrightarrow[/tex] Radius = 2 inches

The height of cylinder is 3 inches. And the diameter of the cone is 6 inches

[tex] \longrightarrow[/tex] Radius = [tex]\sf\dfrac{Diameter}{2} [/tex]

[tex] \longrightarrow[/tex] Radius = [tex] \sf\dfrac{6}{2}[/tex]

[tex] \longrightarrow[/tex] Radius = 3 inches

First, let us recall the Formulas of volume of cylinder and cone:

[tex] \quad\longrightarrow\quad \sf {Cone = \dfrac{1}{3}\pi r^2 h }[/tex]

[tex] \quad\longrightarrow\quad \sf {Cylinder = \pi r^2 h }[/tex]

Now, we know that the volume of cone is equal to the volume of cylinder

[tex] \implies\quad \sf{\dfrac{1}{3}\pi r^2 h = \pi r^2 h }[/tex]

On putting the values:

[tex] :\implies\quad \sf{\dfrac{1}{3}\pi \times 3^2 \times h = \pi \times 2^2 \times 3 }[/tex]

[tex] :\implies\quad \sf{\dfrac{1}{\cancel{3}}\times 3.14 \times\cancel{ 9 }\times h = 3.14 \times 4 \times 3 }[/tex]

[tex] :\implies\quad \sf{3.14 \times 3 \times h = 3.14 \times 12 }[/tex]

[tex]: \implies\quad \sf{ h = \dfrac{ \cancel{3.14} \times 12 }{ \cancel{3.14} \times 3} }[/tex]

[tex] :\implies\quad \sf{ h =\cancel{ \dfrac{12}{3}}}[/tex]

[tex] :\implies\quad \underline{\underline{\pmb{\sf{h = 4 inches }}} }[/tex]

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~Hence the height of the cone is 4 inches.

Please somebody help me

Answers

Answer:

I believe the answer is 0.35

Step-by-step explanation:

We know the total is 0.7 miles. We can assume he went back and forth only once. So divide by 2 and you get 0.35 miles

On a circle of radius 10 feet, what angle would subtend an arc of length 6 feet?

Answers

Answer:

34.38 (rounding to the nearest hundredth)

Step-by-step explanation:

I have my work linked below, but I used to arc length formula and plugged in all known numbers. Then solved for x which will be the angle you are looking for. Hope this helps!

On a circle of radius 10 feet,  34.37° angle would subtend an arc of length 6 feet.

How to find the length of an arc?

The length of an arc formula is represented as follows

The length of arc = Ф / 360 × 2πr

where

Ф = angle, r = radius

It is given that circle of a radius of 10 feet,

The length of arc = 6 ft

Therefore,

6 = Ф / 360 × 2 × 3.14159 × 10

6 = 62.8318Ф / 360

360 x 6 =  62.8318Ф

Ф = 360 x 6 / 62.8318

Ф = 34.3784

Ф ≈ 34.37°

Learn more about the length of the arc ;

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Find the indicate values
f(x)=2x-5

Answers

Can u help me I posted a question

Petra and jonhah are going on holiday to Poole
Petra buys 3 new shirts for her holiday
each shirt cost 9pound
how much does Petra pays in total





another one
Petra and Jonah has this information
home to the train station. 12 minutes
train to Poole 47 minutes
jonah says it will take less that 60 minutes in total to go from home to Poole.​

Answers

Answer:

question one

one shirt cost=9pound

3 shirts=3*9=27pound

What is
|Ay|
in the system of linear equations below?

-8x+y=-6
3x-2y=-1

Answers

Considering the given system of equations, it is found that:

[tex]|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|[/tex]

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the system is:

-8x+y=-6

3x-2y=-1

In matrix form, it is given by:

[tex]\left[\begin{array}{cc}-8&1\\3&-2\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-6\\-1\end{array}\right][/tex]

To find the matrix |Ay|, we replace the y coefficients of 1 and -2 by the results of -6 and -1, hence:

[tex]|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|[/tex]

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

C. (-8 -6 3 -1)

Step-by-step explanation:

EDG

The length of the hypotenuse in a 45°-45-90 triangle is 7sqrt10 units. One of the legs is 7sqrt5 units. What is the length of the other
leg?
O 7sqrt5units
O 14sqrt5units
O 35 units
0 70 units

Answers

Answer:

7[tex]\sqrt{5}[/tex]

Step-by-step explanation:

the legs of a 45°- 45°- 90° triangle are congruent , then

one leg = 7[tex]\sqrt{5}[/tex]

the other leg = 7[tex]\sqrt{5}[/tex]

Write an equation of the line passing through the points ( -5, -25 ),(0,0), and( 3,15)?




Please help me with this question

Answers

Answer:

Y=5X because the slope is 5 and the Y-intercept is 0

The measure of an angle is 63.9. What is the measure of its supplementary angle?

Answers

Answer:

116.1

Step-by-step explanation:

supplementary-180

complimentary-90

180-63.9= 116.1

Cameron is 1.85 meters tall. At 3 p.m., he measures the length of a tree's shadow to be 21.55 meters. He stands 16.6 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

Answers

The height of the tree can be found by establishing a proportional relationship between the heights and the shadows of the tree and Cameron and the height of the tree to the nearest hundredth of a meter is 2.40 m.

Proportional relationship

Proportional relationships are relationships between two variables where their ratios are equivalent.

Therefore, we will establish a proportion to find the height of the tree.

Cameron height = 1.85 m

Tree shadow = 21.55 m

Cameron shadow length = 16.6 m

height of the tree = x

Therefore,

1.85 / x = 16.6 / 21.55

16.6x = 21.55 × 1.85

x = 39.8675 / 16.6

x = 2.40165662651

x = 2.40 m

learn more on proportion here: https://brainly.com/question/26753283

You ask 179 of your classmates how they feel about the school year being made longer. Complete the​ two-way frequency table to show the results of the survey. Use pencil and paper. Combine the very unhappy and unhappy categories into one category called dislike and combine the happy and very happy categories into one category called like. Complete a new​ two-way frequency table.

Answers

Answer:

The answer are in the file

Find the LCM for the group of expressions.
Y2+2y-24;y2-16;and 2y

Answers

Answer:

its here..........,,,

Please help
brainliest for correct answer

Answers

x + y = 6

y = 6 - x

substitute the x values to find the value of y

x ║ -2 ║ -1 ║ 0 ║ 1 ║ 2 ║ 3

========================

y ║ 8  ║ 7  ║ 6 ║ 5 ║ 4 ║ 3

Graph:

Please answer 26. Thank you.

Answers

A=2(wl+hl+hw)

Plug in the variables in the formula.

can someone explain what to do like im a 5 year old please? (pre algebra)

Answers

Answer:

angle 3 = 61

angle 4 = 119

angle 6 = 61

angle 7 = 119

Step-by-step explanation:

there are a few ways you could look at this

first, each angle that is diagonal from eachother is going to be equal so 1 is the same as 3, 2 is the same as 4 etc

also each line going across has to be 180° so if angel 1 was 175 then angle 2 has to be 5 so when you combine them it becomes 180

if you look at the sizes some are bigger than the others, because you're given angle 1 = 61 then all the other small angles would be 61 too, and 180 - 61 = 119 so the all the big ones have to be 119

if this confused u more I'm sorry lol let me know if this helped

Does anyone know this? I'm stuck on it.

Answers

Answer:

For the first triangle:

Sides xz and xy are of equal length

Angles z and y are of equal measure

For the second triangle:

Sides pr and qr are of equal length

Angles p and q are of equal measure

Step-by-step explanation:

Those tiny line segments intersecting the sides indicate that those sides are equal.

Hope that helps!

Solve for k.

Give an exact answer.

2.5(4k+2)=12k2.5(4k+2)=12k

Answers

Answer:

The answer would be k=5/2

Step-by-step explanation:

2.5 (4k+2)12k <- distribute the 2.5 into the parentheses  

10k+5=12k <- take the parentheses out of the equation

10k-12k= -5 <- Move the like terms to one side and change the sign

-2k= -5 <- Collect the like terms & divide by -2 on both sides of the equation

k=5/2 <- Answer at the end

3. Felipe is ordering new carpet for his bedroom floor. (The floor is represented in the picture below as
rectangle JKLM). He knows the base edge, ML, measures 18 ft. And the distance of diagonal KM
measures 25 ft. What is the area of Felipe's bedroom floor? Show all work and round your answer to
the nearest tenth.

Please helpp

Answers

Answer:

312.3 feet

Step-by-step explanation:

ML = 18 and KM = 25 so we can put together that JM = 17.35

17.35 x 18 = 312.3 ft

Hope this helps K12 students :)

What is 1 3/8 written as a decimal

Answers

Answer:

1.625

Step-by-step explanation:

Struggling on this one

Answers

Answer:

x=98

Step-by-step explanation:

Alright, so..

Your first step is to isolate (or make the x be alone), so you will have to get rid of the "8". We do this by doing the opposite thing to it. So since it is subtracting, we will add 8:

-8+8=0
Now what you do to one side of the "=" has to be done to the other:
6+8=14

now, we have the equation:
14=x/7

Simply repeat the step of isolating the x:
This time, we will multiply since it was originally dividing..

x/7(7)=1x/1

1x/1 is the same thing as 1x, which is the same thing as just "x"

Now, do it to the other side:
14(7)=98

Thus we have:
98=x or x=98

this can be checked by substituting the "x" for 98:

6=98/7-8
98/7=14

14-8=6

6=6

which is correct.

Thus, the answer is: x=98

Hope this helps! Brainliest is always appreciated! :)
Have a great day! cx

~Mitsuna

Is (1, 13) a solution to this system of equations?

y = 8x + 5
y = 13

Yes or No

Answers

Yes, that is a solution to the system.

Answer:

yes

Step-by-step explanation:

i hope this will help

Randall makes chilli for a cold winter night. To make 7 servings, he uses 12 1/4 cups of diced tomatoes. How many cups of diced tomatoes are needed to make one serving of chili? Answer in decimal form.

Answers

Answer:

1.25 cups of diced tomatoes

Step-by-step explanation:

1.  12 1/4 ÷ 7

2. = 49/4 x 1/7

3.  =49/28

4. =7/4

5. =1 1/4 or 1.25

I hope this was helpful

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