Answer:
See below
Step-by-step explanation:
Remember SOHCAHTOA
Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent
In this case we use TOA.
tan(71) = x/34
x = tan(71) * 34
x = 98.7
The product of these numbers are 0.100
since 0.100 is same as 0.1
so there is only one decimal place
COMMON SENSE
Add up all the values shown:
64+28+52+56 = 200
This result indicates that there are 200 students total.
Of these 200 total people, there are 28 who are attending both colleges. This is the value shown in the overlapping region of the two circles.
Divide the two values (28 and 200) to get...
28/200 = 0.14 = 14%
The probability as a decimal value is 0.14 which is saying there's a 14% chance of picking someone who goes to both colleges.
