The two coins chosen have to be a quarter and a penny. That leaves you with three pennies. You originally had 14 coins. You took out two you now have 12.
<span>3/12 = 1/4 </span>
is in quadrant I, so
.
is in quadrant II, so
.
Recall that for any angle
,

Then with the conditions determined above, we get

and

Now recall the compound angle formulas:




as well as the definition of tangent:

Then
1. 
2. 
3. 
4. 
5. 
6. 
7. A bit more work required here. Recall the half-angle identities:



Because
is in quadrant II, we know that
is in quadrant I. Specifically, we know
, so
. In this quadrant, we have
, so

8. 
Answer:
505ft below the surface
Step-by-step explanation:
subtract 575 from 625 and then add 455 to get your final answer.
Answer:
x = -1, y = 1
Step-by-step explanation:
x + 2y = 1
Subtract 2y from both sides
x + 2y - 2y = 1 - 2y (simplify) -> x= 1 - 2y
----
-x + y = 2
Subtract y from both sides
-x + y - y + 2 - y (simplify) -> -x = 2 - y
Divide both sides by -1
=
-
(simplify) -> x = -2 + y
Answer:
yes
Step-by-step explanation:
if we divide both terms of 60 and 45 by 15, we can simplify it to 4:3.