Answer: 
Step-by-step explanation:
To subtract functions, treat each function as a polynomial and subtract them as you would normally subtract polynomials.


The correct answer is the fourth choice. It correctly subtracts the polynomials.
267.5
Step-by-step explanation:
cos(87) = 14 ÷ t
=tcos(87) = 14
t = 14÷cos(87)
= 267.5
Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
a) If the coins are all the same, we have a combination of 35 identical coins in 5 persons.
The amount of combinations is

being n the number of coins and r the number of grandchildren.
b) If the coins are different, the number of combinations can be calculated as:

c) If the coins are all the same, and each grandchild gets the same number of coins, there is only one combination for that (everyone gets 35/5=7 coins)
d) If the coins are all distinct, but each of the grandchildren get the same numer of coins, the expression to calculate this is:

Answer:
x = 12 or 
Step-by-step explanation:
Find the length of x for one side of the triangle first. To do this, use the Pythagorean Theorem which states: a² + b² = c² or in this case c² - a² = b². c² is 45 and a² is 3*3 or 9. Subtract 45-9 to get 36. Find the square root of 36 to get 6. The opposite side is also going to have a missing side length of 6 so add 6+6 to get 12 as x.
Hope it helps!
Answer:
47°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180, that is
x = 180° - (48 + 85)° = 180° - 133° = 47°