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3 years ago

What is the highest common factor of 240 and 1500

2 answers:

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

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Square root of 1536 with divison method

11111nata11111 [884]

Answer:

39.191835884531

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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 not 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 ...

right triangle
not a right triangle — long side is too long, so the triangle is obtuse
right triangle

_____

Additional comment

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 right triangle

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