Answer:
Ф = 
Step-by-step explanation:
It is a bit difficult to input the work here, so I uploaded an image
- First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
- Then we can combine like terms
- Then we can factor this as a polynomial function
- Then we can set each term equal to zero and solve for Ф
- The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
- The second term tan(Ф) - 1 = 0 has two solutions of
and 
so these are the solutions to the problem
Answer:
Range = 3
Variance = 0.6475
Standard Deviation = 0.804
Step-by-step explanation:
The steps and tables is shown in the attachment.
Answer:
The correct answer is letter B.
Step-by-step explanation:
Contractionary monetary policies are instruments used by the FED to decrease the amount of money in an economy. There are three classic instruments of monetary policy: open market, rediscount policy and compulsory deposit. The open market is about buying and selling federal government bonds. Thus, by selling bonds, the bank will be increasing the supply of bonds in the economy, on the other hand, is withdrawing dollars, that is, will be withdrawing currency from the economy, resulting in a contractionary monetary policy. Rediscount refers to the interest rate on loans that the FED lends to financial institutions. In situations of illiquidity, banks turn to the FED for loans. In this case, the FED, by increasing the rediscount rate, hindering the supply of money to the institutions and thus exerting a contractionary monetary policy. Finally, bank reserves refer to the part of banks' monetary reserves that are required to be deposited with the FED. Thus, by increasing the percentage of such reserves, the FED is exerting a contractionary fiscal policy, as it decreases the total amount of commercial banks' borrowing resources.
Answer:
624.5 feet
Step-by-step explanation:
Calculation to determine how many feet from the boat is the parasailor
Based on the information given we would make use of Pythagorean theorem to determine how many feet from the boat is the parasailor using this formula
a²+b²=c²
First step is to plug in the formula by substituting the given value
500²+b²=800²
Second step is to evaluate the exponent
250,000+b²=640,000
Third step is to substract 250,000 from both side and simplify
250,000+b²-250,000=640,000-250,000
b²=390,000
Now let determine how many feet from the boat is the parasailor
Parasailor feet=√b²
Parasailor feet=√390,000
Parasailor feet=b=624.49
Parasailor feet=b=624.5 feet (Approximately)
Therefore how many feet from the boat is the parasailor will be 624.5 feet
I hope this helps you
Volume = pi.r^2.h
36= pi.r^2.h
Volume =pi.r^2.3/4h
Volume =pi.r^2.h.3/4
Volume =36.3/4
Volume =9.3
Volume =27
