Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
Answer:
A 21 /169
B independent
Step-by-step explanation:
The total number of candies is 7+3+3 = 13
P( 1st red) = red/total = 7/13
Since the candy is put back there are still 13 candies in the dish
P(2nd green) = green/total = 3/13
P( red, then green) = P( 1st red) * P(2nd green)
= 7/13* 3/13 = 21/169
The events are independent since the candies are put back
Answer:
I'm leaning mostly towards C Because there is a solution, None of them are real numbers and if they were, S would = 5 Especially positive S
~ Zachary
47%.
anything that's out of 100 is going to be that number as a percent.
So if you had 34 things being shipped out of state then 34% of them would be shipped out of state.
Answer:
6
Step-by-step explanation:
We can think of the 10 black bags as 2 sets of 5-black bags (10 divided into groups of 5; 10 / 5 ; is 2 groups/sets). So, we would also have two sets of 3 (3 x 2 = 6), or 6 bags.
5 : 3 = 10 : 6
(multiply both numbers by 2)