Answer:
256√3 in^2.
Step-by-step explanation:
tan 60 = lateral height of 1 face / 8
Lateral height = 8 tan 60 = 8√3
Area of 1 face = 8 * 8√3 = 64√3
Lateral Area = 4 * 64√3 = 256√3 in^2
Answer:
The expected profit is $10,600.
Step-by-step explanation:
The expected profit can be calculated as the sum of the possible outcomes weighted by their probability of occurrence.
In this case, there are four possible outcomes:
1) The horse win both races. The value of the horse will be $100k-$20k=$80k.
The probability of this outcome is:

2) The horse win the first race, but lose the second one. The value will be $50k-$20k=$30k.
The probability is:

3) The horse lose the first race, but win the second one. The value will be $50k-$20k=$30k.
The probability is:

4) The horse lose both races. The value will be $10k-$20k=-$10k.
The probability is:

Then, the expected profit can be calculated as:

Answer:250 kilometers
Step-by-step explanation:
so it travels 100 kilometers north and another 150 kilometers north so 100+150 is 250 kilometers
Answer:
39 pi cubic inches
Step-by-step explanation:
The volume of a cone is (1/3)(area of the base)(height).

Find the area of the circular base. The circumference of a circle is
, so

Now that you know the radius of the circular base, you can find its area:

The height of the cone is 13. Time to use the volume formula.
