Let:
x = first consecutive integer (or first side of △)
x + 1 = second consecutive integer (or second side of △)
x + 2 = third consecutive integer (or third side of △)
The formula for a perimeter of △ is simply the addition of three sides (or length). Since the given perimeter is 114 cm,
x + x+1 + x+2 = 114
3x + 3 = 114
3x = 114 - 3
3x = 111
x = 111 /3 = 37 cm
The three sides are 37 cm, 38 cm, and 39 cm.
Answer:
4512.
Step-by-step explanation:
We are asked to find the number of five-card hands (drawn from a standard deck) that contain exactly three fives.
The number of ways, in which 3 fives can be picked out of 4 available fives would be 4C3. The number of ways in which 2 non-five cards can be picked out of the 48 available non-five cards would be 48C2.
We can choose exactly three fives from five-card hands in 
ways.
Therefore, 4512 five card hands contain exactly three fives.
The inequality is
6+4r>17
The miminum number of runs per inning is
3.
Answer:
6.
Step-by-step explanation:
To solve this, you can set up an equation as such:
x²-18= 3x
Now, rearrange this to make it an equation in standard form:
x²-3x-18=0.
Simply turn this equation into factored form:
(x-6)(x+3)= 0.
The only positive solution here is x=6.
