Answer:
Step-by-step explanation:
Using the pythagorean theorem, you can find that the distance between the two points is 
. Hope this helps!
Answer:
Step-by-step explanation:
We get possible sums from 1 + 1 = 2 to 6 + 6 = 12 when we toss two dices together. Total ways 6*6 = 36
a.
<u>Prime numbers:</u>
- 2, 3, 5, 7, 11 - total 5 outcomes with 15 ways (1+1, 1+2, 1+4, 1+6,2+1, 2+3, 2+5, 3+2, 3+4, 4+1, 4+3, 5+2, 5+6, 6+1, 6+5)
b.
<u>Perfect squares:</u>
- 4, 9 - total 2 outcomes with 3 ways for 4 (1 +3, 2+2, 3+1) and 4 ways for 9 (3+6, 4+5, 5+4,6+3)
- P(perfect square) = (3 + 4)/36 = 7/36
c.
<u>Perfect cube:</u>
- 8 - one outcome with 5 ways (2+6,3+5,4+4,5+3,6+2)
- P(perfect cube) = 5/36
Answer:
The Highest common factor of 120,140,180 is ( HCF) = 20
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given numbers 120,140,180
120 = 60 × 2
= 30 × 2× 2
= 15 × 2×2×2
= 5×3× 2×2×2
140 = 70 × 2
= 10 × 7× 2
= 5× 2× 7× 2
180 = 90 × 2
= 30×3×2
= 5 × 6 × 3× 2
= 5 × 2× 3× 2 × 3
The Highest common factor of 120,140,180 is 5 ×2×2 = 20
