<h3>
Answer: 0.5</h3>
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Explanation:
The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.
We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.
This leaves sin(B)/b
We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.
The angle opposite side c is 15 degrees, so C = 15.
The lowercase letters represent side lengths, while the uppercase letters are angles.
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We have enough to apply the law of sines to solve for side c.
sin(B)/b = sin(C)/c
sin(105)/2 = sin(15)/c
c*sin(105) = 2*sin(15) ............. cross multiply
c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)
c = 0.53589838486224
c = 0.5
Side c is roughly 0.5 cm long.
Make sure your calculator is in degree mode.
((7 + 5)^2) / (4 * 3 + 9) =
(12^2) / (12 + 9) =
144 / 21 reduces to 48/7 or 6 6/7
Well if finding the area of a shape would be multiplying the 2 sides due to the given information that both shaded sides equal to 50, that means 50x50 which is 2500
b) Blue color had an experimental probability that matched its theoretical probability.
Explanation:
Since we have given that
Number of times this spinner is spinned = 60
Number of times black occur = 17
Number of times blue occur = 15
Number of times orange occur = 21
Number of times purple occur = 7
a) So, Experimental probability of a spin of orange is given by
b) which color had an experimental probability that matched its theoretical probability.
According to theoretical probability ,
Every event must have equal probability, i.e. 
And,
So, Blue color had an experimental probability that matched its theoretical probability.
The answer is 3x(-12) I 'am 100% show..
