Answer:
Some answers would be 7 6 5 4 3 2 1. Not all numbers will be less than twelve.
Step-by-step explanation:
First, I added the number to 4 that would equal twelve. Then, I just started using numbers below it. If this is a true or false, this would be false because if you added any number (let's say 12) to 4, you might get more than 12. Although, every number in the negatives would work as well, because they didn't state that the absolute value of the number plus 4 is less than 12. Hope it is right!
The answer should be the number 2
Answer:
1) 3
2) 30
Step-by-step explanation:
To find the GCF, you find out the (prime) factors of the two numbers in question. For this question, we would find the (prime) factors that go into 6 and 15.
For the number 6, we can get 2 x <u>3</u> = 6.
For the number 15, we can get <u>3</u> x 5 = 15.
You then underline those factors that you have in common. As you can see, since there is only 1 factor underlined per number, we would have the GCF as 3. On the instance you have more than 1 number underlined, you just multiply them.
Example: 12 and 20
<u>2</u> x <u>2</u> x 3 = 12
<u>2</u> x <u>2</u> x 5 = 20
They both have 2 x 2 in common, so you would get 4 as the GCF.
Moving onto the LCM, I would find this by multiplying each number until i find something similar.
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = <u>30</u>
15 x 1 = 15
15 x 2 = <u>30</u>
The number that is underlined is the lowest common number we have when multiplying and going up by 1, so 30 would be our answer.
A faster way you could've solved this is by knowing that you can't multiply 6 and a whole number to get 15, but you can multiply 6 and a whole number to get 30. This, however, is just prior knowledge.
I just plugged it into a math calculator and the decimal form of 1/6 would be 0.1666 repeating
Answer:
The third side is sqrt(77)
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
2^2 + b^2 = 9^2
4+ b^2 = 81
Subtract 4 from each side
b^2 = 81-4
b^2=77
Take the square root of each side
sqrt(b^2) = sqrt(77)
b = sqrt(77)
The third side is sqrt(77)
