Answer: The length of the hypotenuse is 25
Step-by-step explanation:
Hi, to answer this question we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (the longest side) and a and b are the other legs of the triangle (vertical and horizontal leg)
Replacing with the values given:
c^2 = 7^2 + 24^2
c^2 = 49+576
c^2 = 625
c = √625
c = 25
Feel free to ask for more if needed or if you did not understand something.
Answer:
c
Step-by-step explanation:
Just look up prime numbers and you will find all of them
Answer:
Step-by-step explanation:
you have to do 5+1 and then you will get 6
To compare fraction sizes, you have to make sure the denominators of the fractions are the same. You must find a number that is a multiple of all the denominators we currently have (15, 3, 12, 9)
The smallest number that fits this is 540
Now you must multiply the numerator and denominator of each fraction by the number that makes the denominator 540
So, for 7/15 , we multiply the top and bottom by 36, since you need to multiply 15 by 36 to get 540. This means the fraction you end up with is 252/540
For 2/3, we multiply the top and bottom by 180, since you need to multiply 3 by 180 to get 540.This means the fraction you end up with is 360/540
For 11/12, we multiply the top and bottom by 45, since you need to multiply 12 by 45 to get 540. This means that the fraction you end up with is 495/540
For 5/9, we must multiply the top and bottom by 60, since you need to multiply 9 by 60 to get 540. This means that the fraction you end up with is 300/540
Now that the hard part is out of the way, you have four fractions: 252/540, 360/540, 495/540 and 300/540. Now, you can arrange the fractions in ascending order just based on their numerator.
So, the order would be: 252/540, 300/540, 360/540, 495/540
Now, for the final step, just convert them back to the original fractions.
So, the final answer is:
7/15, 5/9, 2/3, 11/12
Hope I helped!! xx
Answer: Our required probability is
Step-by-step explanation:
Since we have given that
Total number of outcomes in single die = 6
So, total number of outcomes if three different die =
Number of favourable outcome i.e. exactly roll the same number = (1,1,1), (2,2,2) (3,3,3) (4,4,4) (5,5,5), (6,6,6) = 6
So, Probability of getting exactly roll the same number is given by
Hence, our required probability is