AWNSER: B or 54
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Answer: 
Step-by-step explanation:
Observe in the figure given in the exercise that four right triangles are formed.
In this case you can use the following Trigonometric Identity to solve this exercise:
From the figure you can identify that:

Then, you can substitute values:

The next step is to solve for DE in order to find its value. This is:

Finally, rounding the result to the nearest tenth, you get that this is:

Answer:
6 vertices for triangular prisms.
Answer:
Step-by-step explanation:
Given that the probability of a customer arrival at a grocery service counter in any one second is equal to 0.3
Assume that customers arrive in a random stream, so an arrival in any one second is independent of all others.
i.e. X the no of customers arriving is binomial with p = 0.3 and q = 1-0.3 =0.7
a) the probability that the first arrival will occur during the third one-second interval.
= Prob that customer did not arrive in first 2 seconds * prob customer arrive in 3rd sec
= 
b) the probability that the first arrival will not occur until at least the third one-second interval.
Prob that customer did not arrive in first two seconds *(Prob customer arrives in 3rd or 4th or 5th.....)
=
The term inside bracket is a geometric infinite progression with common ratio - 0.7 <1
Hence the series converges
Prob =
Step-by-step Answer:
A dilation about (0,0) or origin has the rule
(x,y) -> (kx,ky)
where k is the scale factor, (x,y) denotes the preimage, and (kx,ky) denotes the image.
For B(-8,-2), and k=12,
we have
B'(-8*12,-2*12) = B'(-96,-24)