Find the H.C.F of 144,180,240,300​

Answers

Answer 1
Answer:
GCF = 12

for the values 144, 180, 240, 300

Solution by Factorization:

The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The factors of 180 are: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

The factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

The factors of 300 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Then the greatest common factor is 12.
Answer 2

Answer:

12

Step-by-step explanation:

We are looking for the highest common factor

Breaking each term into primes

144 = 12*12 =  4*3 * 4*3 =  2*2*3*3

180 = 20 *9 = 4*5*3*3 = 2*2*3*3*5

240 = 24*10 = 4*6*2*5 = 2*2*2*3*2*5 = 2*2*2*2*3*5

300 = 30*10 = 5*6*2*5 = 5*2*3*2*5 = 2*2*3*5*5

Look for the common factor

2*2*3 = 12


Related Questions

Find the measurement of the angle diagonal indicated in the following parallelogram

Answers

Answer:

24units

Step-by-step explanation:

From the parallelogram given, we can see that the line FH bisects EG at V. Hence;

GE = 2GV.

Given that

GV = 12

GE = 2(12)

GE = 24

Hence the measure of the length GE is 24units

The tens digits of a certain two-digit number is 1/3 of the units digit. When the digits are reversed, the new number exceed twice the original number by 2 more than the sum of the digits. Find the original number.

Answers

Answer:

The orginal number is 26.

Step-by-step explanation:

So the units digit can be 3 6 or 9

The tens digit can be 1 2 or 3

So the original number can be 13

31 = 2*13+ (1+3) + 2

31 =? 26 + 4 + 2    

This doesn't work. The right side is 32

26

62 = 2*26 + 8 + 2

62 = 52 + 8 + 2

This is your answer.

3 and 9 won't work because 39 is odd and so is 93. The result has to be even.

Three consecutive integers have a sum of -42. Write and solve an equation to find the three integers.​

Answers

Let the first integer be x.

Let the second integer be x + 1 .

Let the third integer be x + 2 .

According to the question

x + ( x + 1 ) + ( x + 2 ) = -42

Opening the brackets and simplifying :

x + x + 1 + x + 2 = -42

3x + 3 = -42

Now , solving equation :

[tex]\bf \rightarrow \: \:3x \: + \: 3 \: = \: -42[/tex]

[tex]\bf \rightarrow \: \: 3x \: = \: -42 \: - 3[/tex]

[tex]\bf \rightarrow \:3x \: = \: -45 \: [/tex]

[tex]\bf \rightarrow \:x \: = \: \frac{ - 45}{ \: 3} \\ [/tex]

[tex]\bf \rightarrow \:x \: = \: \cancel\frac{ - 45}{ \: 3} \: \: ^{ - 15} \\ [/tex]

[tex]\bf \rightarrow \:x \: = \: - 15[/tex]

[tex]{\boxed{ \Large{ \red{ \rm{ \underline{ Now \: \: substitute}}}}}}[/tex]

[tex]\bf \implies \: \:x \: = \: - 15[/tex]

[tex]\bf \implies \: \:x \: + \: 1 \: = \: - 15 \: + \: 1 \: = \: - 14[/tex]

[tex]\bf \implies \: \:x \: + \:2 \: = \: - 15 \: + \: 2 \: = \: - 13[/tex]

-15 , -14 and -13 are the three consecutive integers.

What is the surface area of the sphere below?

A. 324pi units^2
B. 324pi^3 units^2
C. 36pi units^2
D. Cannot be determined

Answers

Answer:

C. 36π units²

Step-by-step explanation:

Surface area of a sphere: 4πr²

[tex]4\pi r^2\\4\pi (3)^2\\4\pi (9)\\36\pi[/tex]

How do I find x ………..

Answers

Answer:

x = 94

Step-by-step explanation:

The sum of the 4 angles in a quadrilateral = 360°

Sum the 4 angles and equate to 360

x + x + 2x - 75 + x - 35 = 360

5x - 110 = 360 ( add 110 to both sides )

5x = 470 ( divide both sides by 5 )

x = 94

Find the distance across the lake. Assume the triangles are similar.\

A. 300 m
B. 425 m
C. 210 m
D. 283 m

Answers

Answer:  A. 300 m

Work Shown:

L/100 = 15/5

5L = 100*15

5L = 1500

L = 1500/5

L = 300

300 bestie, I did this question like 42 times so source:trust me

môt lâm trường lập kế hoạch trồng 1 số ha rừng, theo đó mỗi tuần lâm trường phải trồng 15ha. Trên thực tế nhờ cải tiến kĩ tuật, lâm trường đã trồng được 20ha mỗi tuần. Do đó, lâm trường khong những đã hoàn thành kế hoạch trước thời hạn 1 tuần mà còn trồng thêm được 5ha rừng. Hỏi theo kế hoạch, lâm trường phải trồng bao nhiêu ha rừng?

Answers

Step-by-step explanation:

mình nghĩ là như vầy. Chúc bạn học tôt :))))

Help please me please help me

Answers

Answer: (3, 18)

Step-by-step explanation: Where the lines corss the x does not go over 10 so the only other option is a 3. If you cut the box hori in half in you mind, the top half being 15-20 and the bottom half bring 10-14, then you can see the lines cross on the top half. Meaning it’s at 18 not 12.

Helppppp pleaseeee anyoneeeee

Answers

Take it on in parts, there are three shapes. One triangle, Two squares.

Triangle= 1/2 base * height
Triangle= 1/2(20)(11)= 110yd^2
Rectangle 1= base*height
Rectangle 1: (8)(4)= 32yd^2
Rectangle 2= (7)(12)= 84yd^2

Then add them together to get 226yd^2

what is the total amount of RS.7500 at the rate of 5.5% per annum in 42 months?find it.

Answers

Answer:

Please check out the attachments below to get the answer

The domain for f(x) and g(x) is all real numbers.


Let f(x) = x2 + 1 and g(x) = x4 − 1.


Find f · g.


A.
x6 + x4 − x2 − 1


B.
x4 + x2 − 1


C.
x8 + x4 − x2 + 1


D.
x6 − x2 − 1The domain for f(x) and g(x) is all real numbers.

Answers

Answer:

A

Step-by-step explanation:

(f*g)(x) = f(x) * g(x)

=(x2+1)(x4-1)=x6-x2+x4-1

Please decide !!!!!!!!

Answers

9514 1404 393

Answer:

  6 pours

Step-by-step explanation:

Here are two 6-step solutions. The four digits represent the contents of the 9,5,4,2 containers (in that order) after a single pour. The starting condition is 9000.

Solution 1:

7002 — 9 > 27200 — 2 > 53240 — 9 > 43510 — 4 > 53312 — 5 > 23330 — 2 > 4

Solution 2:

5040 — 9 > 45400 — 4 > 51440 — 9 > 41530 — 4 > 51332 — 5 > 23330 — 2 > 9

Please help explanation if possible

Answers

Answer:

45

Step-by-step explanation:

a44 = 2 + (43 × 1) = 2 + 43 = 45

Can someone help me out please

Answers

Answer:

12

Step-by-step explanation:

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gxbdhd

hdhdhx

hjcjc

Answer:

Step-by-step explanation:

pi = 3.14

r = 11 yds

Formula

Area = 4 pi r^2

Solution

Area = 4 * 3.14 * 11 ^2

Area = 1519.76

Area = 1519.8 rounded to the nearest 1/10

Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed

Answers

Answer:

cosC = [tex]\frac{7}{25}[/tex]

Step-by-step explanation:

cosC = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{7}{25}[/tex]

Please help will give brainliest

Answers

Given:-

[tex]x {}^{2} + 17x + 30[/tex]

Factorising It

[tex]x {}^{2} + 2x + 15x + 30 \\ \\ = x(x + 2) + 15(x + 2) \\ \\ = (x + 2)(x + 15)[/tex]

[tex] \therefore[/tex] A= 2 And B= 15

Hope This Helps You ❤️

Complete the table, and then use the drawing tools to create the graph representing the relationship between the amount of plant food remaining, f(x), and the number of days that have passed, x.

Answers

The complete table of the function is:

[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]

The equation missing from the question is:

[tex]y = 72 - 12x[/tex]

To complete the table, we simply calculate the y value for each x value;

When [tex]x = 0[/tex],     [tex]y = 72 - 12 * 0 = 72[/tex]

When [tex]x = 1[/tex],     [tex]y = 72 - 12 * 1 = 60[/tex]

When [tex]x = 2[/tex],     [tex]y = 72 - 12 * 2 = 48[/tex]

When [tex]x = 3[/tex],     [tex]y = 72 - 12 * 3 = 36[/tex]

When [tex]x = 4[/tex],     [tex]y = 72 - 12 * 4 = 24[/tex]

When [tex]x = 5[/tex],     [tex]y = 72 - 12 * 5 = 12[/tex]

When [tex]x = 6[/tex],     [tex]y = 72 - 12 * 6 = 0[/tex]

So, the complete table is:

[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]

To create a graph of f(x), we simply type [tex]y = 72 - 12x[/tex] on a drawing tool and the graph will be generated.

See attachment for graph

Learn more about graphs at:

https://brainly.com/question/20106471

Answer:

Step-by-step explanation:

Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U

Answers

Answer:

m∠TRS = 6°

m∠U = 103°

Step-by-step explanation:

In the given figure,

O is the center

RS ∥ VU

m∠V = 103° &

m∠VRT = 71°

So,

m∠V +  m∠R = 180°                (∵ sum of co-interior angles)

⇒  m∠R = 180° - 103°              (m∠V = 103° is given)

∵ m∠R = 77°    ...(i)

Now,

m∠R =  m∠TRS +  m∠VRT

by putting the values given

⇒  m∠TRS = 77° - 71°

∵ m∠TRS = 6°  

As we know that,

VURT is a cyclic quadrilateral. So,

m∠U +  m∠R = 180°

m∠U +  77° = 180°            (from equation (i)

∵ m∠U = 180° - 77° = 103°

pls help

5 1/3 ÷ 1 7/9

Answers

Answer:

3

Step-by-step explanation:

5 1/3 ÷ 1 7/9

Change to improper fractions

5 1/3 = (3*5+1)/3 = 16/3

1 7/9 = (9*1+7)/9 = 16/9

16/3 ÷ 16/9

Copy dot flip

16/3 * 9/16

Rewriting

16/16 * 9/3

1*3

3

see question in image

Answers

Answer:

Total outcomes with two dice is:

6*6 = 3638

Outcomes with sum of 7:

1 &6, 2&5, 3&4, 4&3, 5&2, 6&1 - total of 6

Probability:

P(sum of 7) = 6/36 = 1/639

Outcomes with sum of 5 or 10:

1&4, 2&3, 3&2, 4&1, 4&6, 5&5, 6&4 - total of 7

Probability:

P(5x) = 7/3640

Outcomes with same numbers:

1&1, 2&2, 3&3, 4&4, 5&5, 6&6 - total of 6

Probability:

P(same) = 6/36 = 1/6

Borgir?

Plz answer, I'll give brainliest...

Answers

Answer:

What do uh mean?.......

Jenny bough 4 combo packs of popcorn and candy for 32$ at the movie theater, what was the cost of each pack?

Answers

Answer:

$8

Step-by-step explanation:

Each pack includes one pack of popcorn and one pack of candy. Since Jenny bought 4 packs, and it cost $32 in total, the equation will look like:

4x = 32

To solve this you divide 4 into each side of the equation:

4x = 32

----   ----

4      4

x   =  8

The answer is 8.

Hope this helped.

How do I find x and y?

Answers

Answer:

x = 20

y = 70

Step-by-step explanation:

Since B and D are parallel :

6x - 10 + 3x + 10 = 180 add/subtract like terms

9x = 180 divide both sides by 9

x = 20

angle represented by y and 6x - 10 are supplementary and their sum is 180

y + 6x - 10 = 180 replace x with 20

y + 6*20 - 10 = 180

y + 120 - 10 = 180

y + 110 = 180 subtract 110 from both sides

y = 70

Rationalize the denominator and simplify:
a) (√3 - √2)/( √3+√2)
b) (5+2√3)/(7+4√3)
c) (1+√2)/(3 - 2√2)

Answers

Answer:

A) (√3-√2)/(√3+√2)

Step-by-step explanation:

i think so

You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 5 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from. If you randomly choose your character and tool, what is the probability that you wont be a hobbit or use an umbrella

Answers

Answer:

The probability that you won't be a hobbit=

[tex] \frac{2}{3} [/tex]

The probability that you won't choose an umbrella=

[tex] \frac{4}{5} [/tex]

Step-by-step explanation:

The characters are 3, minus the hobbit gives you 2. So the probability of that=

[tex] \frac{2}{3} [/tex]

The weapons are 5, minus the umbrella is 4. So the probability of that=

[tex] \frac{4}{5} [/tex]

The fan below has been stretched open as far as it will go to form a semi-circle.
Each of the eighteen sectors formed by the fan consists of the same amount of fabric. The length of
each wooden rod that connects the center of the fan to its edge is 12 cm. The wooden rods are
glued to the fabric forming the fan. Determine the approximate area of each sector.

Answers

Answer:

Area of each sector=[tex]12.6cm^2[/tex]

Step-by-step explanation:

We are given that

Length of each wooden od that connects the center of the fan to its edge ,r=12 cm

Total number of sectors=18

We have to find the approximate area of each sector.

Area of semi-circle=[tex]\frac{1}{2}\pi r^2[/tex]

Using the formula

Area of fan=[tex]\frac{1}{2}\pi (12)^2=72 \pi cm^2[/tex]

Area of each sector=[tex]\frac{area\;of\;fan}{Total\;number\;of\;sectors}[/tex]

Area of each sector=[tex]\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2[/tex]

Where [tex]\pi=3.14[/tex]

Area of each sector=[tex]12.56cm^2\approx 12.6 cm^2[/tex]

how many degrees does a unit angle measure a 10° B 90° c 180 degrees d 100 degrees​

Answers

Ksbujbtskbzbiz kshg

Sjhhzjz

find the measure of the indicated angle to the nearest degree​

Answers

Answer:

43

Step-by-step explanation:

First you divide the opposite side from the angle by the hypotenuse.

33/44

then you take the inverse sine of 33/44, resulting in

43.43°, which rounds to 43°

When a potential difference across a resistor is 2.0 V with a current of 1.5 A. What is its resistance? ​

Answers

V = IR

2 = 1.5 x R

R = 2 / 1.5

R = 1 1/3 ohms

Hope this helps!

CAN SOMEONE TELL ME WHT DID I DO WRONG ASAP THANK YOU!!!​

Answers

The final step. You divided wrong.

8 = 400 / 120  = 10/3

Step-by-step explanation:

The final step. You divided wrong.

[tex] s = \frac{400}{120} = \frac{10}{3} [/tex]

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