Take into account the length of the right side of the figure is 10. Moreover, x is the hypotenuse of a right triangle. To find the value of x, use the sine function:
cos 45 = opposite side/hypotenuse
cos 45 = 10/x solve for x
x = 10/cos 45
x = 10/0.707
x = 14.14
with the previous value of x, you can find y. Again, consider the right triangle right side. x is the hypotenuse. Use the Pythagorean theorem to find y:
x² = 10² + y² solve for y and replace x
y² = x² - 10²
y² = (14.14)² - 100
y² = 200 - 100
y² = 100 apply square root both sides
y = 10
Hence, the values of x and y are 14.14 and 10 respectively
Probability =
(number of possible ways to succeed)
divided by
(total number of possible outcomes) .
Number of ways to succeed = 2 (pick the 'A' or the 'L')
Total number of possible outcomes = 5 (the cards on the table) .
Probability of success = 2/5 = 40% .
Answer:
Step-by-step explanation:
Answer:
A is the answer
Step-by-step explanation:
Answer: 11
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Explanation:
To find the inverse, or f^-1 of a function, you first replace the y= 6x-4 with x=6y-4
Finding the inverse from here is basically just finding y in terms of x.
1) x=6y-4
2) x+4=6
3) (x+4)/6= y
y= (x+4)/6 is now your f^-1.
Now that you have your inverse, replace 62 with your x in y=(x+4)/6
1) (62+4)/6
2) 66/6
3) 11
Therefore, f^-1(62)= 11
Hope this helps :)
