tan x = opposite / adjacent
tan x = 6 / 11
tan x = 6 / 11
x = 28.61 (or 29 degrees rounding to the nearest whole degree)
Answer:
85, 68, 51
Step-by-step explanation:
Average: The sum of all the numbers divided by the number of numbers
If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x
Then using the definition of an average, we can write this equation.
(5x + 4x + 3x) / 3 = 68
Multiply both sides by 3.
5x + 4x + 3x = 68 * 3
Simplify.
12x = 204
x = 17
Now, substitute x = 17 into the original scores (5x, 4x, and 3x)
5x = 5 * 17 = 85
4x = 4 * 17 = 68
3x = 3 * 17 = 51
Just in case, let's check this answer. Find the average of the 3 test scores.
(85 + 68 + 51) / 3 =
204 / 3 = 68
Thus, the answers are correct
Answer:
1) 3/20
2) 2/5
3) 45
Step-by-step explanation:
2) P(not Pink) = 8/20 which reduces to 2/5
3) probability of blue is 3/20 which is 15/100; if you multiply the numerator and denominator by 3 you get 45/300
