Determine the value of each variable in the figure below. Keep answers in simplest radical form.
1 answer:
Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3
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Answer:
Mean = 2.95
Median = 3
Step-by-step explanation:
The mean of the number of visits of 40 adults to the gym is
The median of the data is the average number between 20th and 21th terms (because 40 is even number, so the middle term is the average between two middle terms).
20th term = 3 visits
21th term = 3 visits
Hence, median is 3 visits