The lateral edge of a square prism is 30 cm long and it is inclined at an angle of 70 degrees with the base. If the volume of the prism is 1,500 cm3,
1. what is the base edge?
2. What is the lateral area of the prism?
3. What is the total area of the square prism?

1

2

3

Step-by-step explanation:

From the question we are told that  

   The lateral edge of a square prism is  

    The angle of inclination is  

    The volume of the prism is  

Generally the base of the prism is mathematically represented as

=>  

=>  

Generally the lateral  area of the prism is mathematically represented as

=>    

=>    

Generally the total area of the prism is mathematically represented as

=>  

=>  

4

step-by-step explanation:

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )