1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
muminat
3 years ago
14

What is the highest common factor of 240 and 1500

Mathematics
2 answers:
Alborosie3 years ago
5 0
There are several process for finding the HCF or Highest Common factor for any numbers given. In this case the two numbers given are 240 and 1500.
Firstly we need to divide 1500 by 240 and check if there are any remainders. On dividing we get quotient is 6 and remainder is 60. Now again we have to divide 240 by 60 which we found as remainder previously. Then on dividing 240 by 60 we get no remainder. So the 60 is the HCF or the Highest Common Factor of 240 and 1500. This is the easiest process by which the HCF of any set of numbers can be found.
mr_godi [17]3 years ago
5 0
Another way is to express the two numbers as a product of their prime factors.

240 = 2 x 2 x 2 x 2 x 3 x 5

1500 = 2 x 2 x 3 x 5 x 5 x 5

If you pair up a factor of 240 with the same factor of 1500, you find that 2 matches twice, 3 once and 5 once

so HCF = 2 x 2 x 3 x 5 = 60
You might be interested in
Square root of 1536 with divison method
11111nata11111 [884]

Answer:

39.191835884531

this is the square root

3 0
3 years ago
HELPPPP JUST 2 QUESTIONS BASED ON PYTHAGOREAN THEOREM AND IM CONFUSED HELPPPP​
Anna007 [38]

9514 1404 393

Answer:

  3. no; does not have the correct ratio to other sides

  4. (1; right), (2; obtuse), (3; right)

Step-by-step explanation:

3. There are a couple of ways you can go at this.

a) the ratio of sides of a 30°-60°-90° right triangle (half an equilateral triangle) is 1 : √3 : 2. Here, the ratio of sides is ...

  (√30/2) : √15 : √30 = 1 : √2 : 2 . . . . MQ is <em>not</em> the height

b) the height is perpendicular to the base, so if MQ were the height, the sides of the triangle would satisfy the Pythagorean theorem:

  LQ² +MQ² = LM²

  (√30/2)² +(√15)² = (√30)²

  30/4 +15 = 30

  22.5 = 30 . . . . NOT TRUE

The length MQ cannot be the height of ∆LMN. (It is too short.)

__

4. To see if these lengths form a right triangle, you can test them in the Pythagorean theorem relation. In the attached we have reformulated the equation so it gives a value of 0 if the triangle is a right triangle:

  c² = a² +b² . . . . . Pythagorean theorem

  c² -a² -b² = 0 . . . . rewritten

If the value of c² -a² -b² is not zero, then the side lengths do not form a right triangle. The attached shows this math performed by a graphing calculator. The results are ...

  1. right triangle
  2. not a right triangle — long side is too long, so the triangle is obtuse
  3. right triangle

_____

<em>Additional comment</em>

The attached table demonstrates an artifact of computer arithmetic. Not all numbers can be represented exactly in a computer, so a difference that is expected to be zero using exact arithmetic may be slightly different from zero when computed by a computer or calculator. Here, we see a difference of about 6×10^-14 when zero is expected. On most calculators (with 10, or 12 displayed digits), this would be displayed as 0.

The same calculation done "by hand" gives ...

  (√425)² -5² -20² = 425 -25 -400 = 0 . . . Triangle 1 is a <em>right triangle</em>

4 0
3 years ago
The area, A, of a triangle is one-half the product of the triangle's base and height.
nordsb [41]

A = (1/2)(b * h)

It is 1/2 times the product (which is the end result of multiplication of two values), of base (b) times height (h)

7 0
3 years ago
Melanie invested $5,500 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawa
Phantasy [73]

Answer:

A=\$11,748.76

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=11\ years\\ P=\$5,500\\ r=6.9\%=6.9/100=0.069  

substitute in the formula above

A=5,500(e)^{0.069*11}  

A=5,500(e)^{0.759}  

A=\$11,748.76

7 0
3 years ago
Use Tornados data and find two months (month X and month Y) for which we have the SECOND strongest NEGATIVE correlation. Create
viva [34]

Answer:

None of the statements is true. that is (e) None of the choices.  

Step-by-step explanation:

Because if we go by the definition above that that Month X and month Y have the " strongest NEGATIVE correlation" then we can see clearly see that the option is not included.

Negative Correlation: this is the exact relationship between two variables whereby if  one variable increases then the other variable decreases and vice versa.

Hence by this we are suppose to conclude that if we observe more tornadoes in month X then we will observe less tornadoes in Month Y.

5 0
3 years ago
Other questions:
  • Jason’s savings account has a balance of $1847. After 5 years, what will the amount of interest be at 6% compounded semiannually
    7·2 answers
  • Write an expression for the sequence of operations described below. double r, then raise the result to the 8th power Do not simp
    14·2 answers
  • Choose the correct conic section to fit the equation. X=1/16y^2
    14·1 answer
  • Please Help<br> 3. What is the length of TI?<br><br><br><br> 4. Find the value of x.
    14·1 answer
  • Randy is designing a circular garden that is 18 feet in diameter. He is buying plastic edging that costs $1.50 per foot. He can
    10·1 answer
  • How many seconds are in 9 hours
    11·2 answers
  • Can someone explain segment addition/subtraction in terms of congruence in geometry? Can they also provide an example? Thanks.
    12·1 answer
  • 1 ½ - 6/10 =<br> HELP PLS
    8·1 answer
  • LAST ONE! I NEED HELP ON THIS ONE. I NEED TO TURN THIS IN, IN THE NEXT 5 MINS!!! SHOW WORK!!!
    10·1 answer
  • Someone please help
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!