Sin (squareroot2/2) is the same as the angle 1/4×Pi which is the same as 45degrees
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
• tan x = 
• sec x = 
, csc x = 
Consider the left side with x = Θ
=
= 
× 
= 
= ×
= secxcscx = right side ⇒ verified
Answer:
105°
Step-by-step explanation:
25+50+x=180
75+x=180
x=105
Answer:
100/729
Step-by-step explanation:
The basket contains 9 fruits: 4 apples and 5 peaches. Thus the probability of choosing one fruit can easily be determined.
P(Apple is selected) = number of apples / number of fruits= 4/9.
P(Peach is selected) = number of peaches / number of fruits= 5/9.
If the replacement is allowed, then the probabilities will remain unchanged for all the fruits. Therefore, the probability of selecting an apple in the any attempt is 4/9 and the probability of selecting a peach in any attempt is 5/9. Assuming that the selection of the fruits is independent, we can safely multiply the probabilities. Therefore, 4/9 * 5/9 * 5/9 = 100/729.
Therefore, the correct answer is 100/729!!!
