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3 years ago

Find the greatest common factor! Please help with these 2 questions

Mathematics

2 answers:

Korvikt [17]3 years ago

8 0

To find the GCF: 1) Find the prime factorizations. 2) Use only common factors with smaller exponent. 3) Multiply them together.

Problem 9.

12 = 2^2 * 3; 33 = 23 * 11

The only common factor is 3

Answer: 3

Problem 10.

45 = 3^2 * 5; 70 = 2 * 5 * 7

Common factor: 5

Answer: 5

Aleksandr-060686 [28]3 years ago

5 0

Hello!

The greatest common factor (GCF) is self explanatory. We find the factors of each number, and find the largest ones that are in common

12: 1,12,2,6,3,4

33:1,33,3,11,

As you can see, the greatest number these two have in common is 3.

Now for the next set.

45: 1,45,3,15,5,9

70:1,70,2,35,5,14,7,10

As you can see, our GCF is 5.

Therefore, our answers are below.

9) 3

10) 5

I hope this helps!

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3 years ago

PLEASE HELP Complete the table with the number of sit-ups you have to do sunday so that the mean number of sit-ups per day is 10

klemol [59]

The complete table will be:

$Monday - 100\\ Tuesday-65\\ Wednesday- 120\\ Thursday-150\\ Friday-90\\ Saturday- 0\\ Sunday-175$

Explanation

Suppose, the number of sit-ups in Sunday is $x$

Mean is the simple average of some numbers. For finding the mean number of sit-ups per day, we need to divide the 'total number of sit-ups' by the 'total number of days'.

Here the total number of days is 7 and the total number of sit-ups for 7 days $= 100+65+120+150+90+0+x= 525+x$

Given that, the mean number of sit-ups per day is 100. So, the equation will be...

$\frac{525+x}{7}=100\\ \\ 525+x=700\\ \\ x= 700-525=175$

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4 years ago

Find the length of a side of an equilateral triangle given its altitude is six inches long.

vampirchik [111]

An equilateral triangle has three 60 degree angles.
The altitude divides it into two 30 60 90 triangles.
The altitude is the "middle side" of such a triangle.
When that is the case, the middle side divided by the square root of 3 = the short side and multiplied by (2/sq root (3)) equals the hypotenuse.
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So, 6 * 2 / (sq root of 3) = 6.9282032303 

Source:
http://www.1728.org/trig2.htm

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3 years ago