Hello!
To solve this we use the equation sin60 = (s/2) / (d/2)
s is a side of the triangle
d is the diameter
sin60 = s/d
put 6 in for s
d = 6.9
The answer is C) 6.9
Hope this helps!
Answer:
The expected value of this game is -$0.26.
Step-by-step explanation:
Expected value:
Each possible earning/loss multiplied by it's probability.
Probability:
Number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Probability of winning:
Desired outcomes:
The 6 correct numbers, so 
Total outcomes:
6 numbers from a set of 21. So
Probability:
Expected value
probability of earning 40,000.
probability of losing 1. So
The expected value of this game is -$0.26.
Answer:
0.05 AU corresponds to the 0.0769 Inches(<em>This calculation is not possible in real time world)</em>
Step-by-step explanation:
Given:
0.65 corresponds to 1 inch
To Find:
0.05 AU corresponds to how many inches.
Solution:
<em>The AU is astronomical unit which is preferred as the mean distance between earth and sun.</em>
<em>AU is too big unit and used in space distance calculation.</em>
But here for mathematical calculation,
0.65 AU corresponds to 1 inch
then 0.05 AU corresponds to x inch(es)
Now cross multiplying the quantities we get ,
0.65x=0.05*1
x=0.05/0.65
x=0.0769 inches corresponds to 0.05 AU
(Preferred for this example only)
<em>(Remember that this calculation is hypothetical and practically incorrect to use it).</em>
<em />
The sum of the interior angles is 360
The statement "unit cubes with side lengths of 1/2 foot are added to fill the prism with no space remaining" is useless information so you can disregard that. All you need to know to calculate the volume is the length, width, and height.
Volume = length x width x height
Volume = (5/2) x 3 x 11/2
Volume = 15/2 x 11/2
Volume = 165/4
Volume = 41.25 ft cubed
