Answer:
0.25 minutes
Step-by-step explanation:
It will take 1/12 the time for the duck to fly 1/12 the distance. Therefore, it will take 3 * 1/12 minutes which is 0.25 (1/4 in fraction form).
Hope this helps :)
16731 should be the answer
You can get a 5 by rolling :
1 and 4
2 and 3
3 and 2
4 and 1
You can get a 9 by rolling :
3 and 6
4 and 5
5 and 4
6 and 3
There are 36 possible outcomes, hence your probability is
Answer:
1/3.
Step-by-step explanation:
The 2 events are independent so we multiply the 2 probabilities.
Prob(rolling an odd number) = 3/6 = 1/2.
Prob(rolling a number greater than 2) = 4/6 = 2/3.
The required probability = 1/2 * 2/3
= 2/6
= 1/3.
Answer:
Area A = 12 = 1/2 × x × (5x-2)
5x^2 - 2x -24 = 0
Solution;
Base x = 2.4
Height h = 10 ft
Step-by-step explanation:
Given;
base of the triangle is x feet;
Base = x
The height of a triangle is 2 less than 5 times it's base;
Height = 5x - 2
the area of the triangle is 12 square feet;
Area A = 12 ft^2
The area of a triangle is;
Area A = 1/2 × base × height
Substituting the base and height;;
Area A = 1/2 × x × (5x-2)
Area A = 1/2 × (5x^2 - 2x)
Area A = 12
12 = 1/2 × (5x^2 - 2x)
Multiply through by 2.
24 = (5x^2 - 2x)
5x^2 - 2x -24 = 0
Solving the simultaneous equation;
x = 2.4 or -2
Since the base cannot be negative;
x = 2.4 ft
Height h = 5x -2 = 5(2.4) - 2 = 12 - 2 = 10 ft
Base x = 2.4
Height h = 10 ft