Step-by-step explanation:
We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)
Also we use identity
sin(2x) = 2 sin(x) cos(x)
4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer
We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified
Answer 180 grams of insects
Explanation 7 •\• by 35 = 5 grams each/night.
36 x 5= 180 grams
Answer:
Two 50 bottles
Step-by-step explanation:
because the 50 bottles is more cheaper than buying a n 80 ml bottle,
it's just a waste of money.
Answer:
x=11 complementary
Step-by-step explanation:
We see from the square marking that both angles add up to be 90 degrees. Knowing this, we can do 90-43 so that we know the total measure of the top angle. Doing this, we know that the top angle equals 47. We can write this out as 5x-8=47, because they are the same thing. We add 8 to both sides, and get 5x=55. Now we divide both sides by 5 and get x=11. Now we have x, so let's decide if the angle pair is complementary or supplementary. Well, supplementary means the angles add up to be 180 degrees, and complementary means they add up to 90 degrees. We already said that the angle pair added up to 90 degrees, so the angle pair is complementary.
Answer:
6,400,000,000 (6.4 billions)
Step-by-step explanation:
We have a total of 10 digits, and each digit was 10 possibilities of being filled, except the first digit of the area code and first digit of the telephone number, that have only 8 possibilities.
So if 8 digits have 10 possible values and 2 digit has 8 possible values, the number of possible telephone numbers is:
10^8 * 8^2 = 6,400,000,000 (6.4 billions)
