when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
There are 14 possibilities for first place.
There are 13 possibilities for second place, since a dog can't get both first and second place.
There are 12 possibilities for third place, since a dog can't get both first, second, and third place.
There are 11 possibilities for fourth place, since a dog can't get both first, second, third, and fourth place.
Multiply them together and get 24024 possibilities.
Hope this helps!
Copper: Nickel = 4:1
a) How much copper needed for 20 kg nickel
C:N = 4: 1
C:20 = 4:1
C/20 = 4/1 Cross Multiply
C*1 = 4*20
C = 80
80kg Copper would be needed.
b) How much Nickel would be needed for 20 kg of Copper
C:N = 4: 1
20:N = 4:1
20/N = 4/1 Cross Multiply
4*N = 1*20
4N = 20 Divide both sides by N.
N = 20/4 = 5
5kg Nickel would be needed.
----------------------------------------------------------------
Question 1
----------------------------------------------------------------
a² + b² = c²
9² + 14² = c²
c² = 81 + 196
c² = 277
c= √277
c = 17cm (Rounded to the nearest whole number)
----------------------------------------------------------------
Ans: The Slanted height is 17cm (Answer C)
----------------------------------------------------------------
----------------------------------------------------------------
Question 2
----------------------------------------------------------------
Lateral area of the cone = πrl
1080π = π(60)l
l = 1080π ÷60π
l = 18.0cm
----------------------------------------------------------------
Ans: The slanted height is 18.0cm (Answer D)
----------------------------------------------------------------
