The measure of ∠ROU is 94°. That is a central angle, which means that the arc it intercepts also measures 94°. Because ∠SOT is vertical to ∠ROU it is also a 94° angle with a 94° intercepted arc. The other 2 angles, ∠SOR and ∠TOU are vertical and have the same measure, both the angles and their intercepted arcs. Those measures will split the difference of 360-94-94, which is 172. 172/2 is 86. That means that those arcs also measure 86. Arc SRT is the addition of arc SR, RU. and UT, which are 86+94+86, respectively, which add up to 266. Second choice down.
Answer:
-11 + 4
Step-by-step explanation:
When you subtract a negative the sign will switch to plus, so it this case you would switch the - (-4) to a + 4 but you don't change the -11 at the front.
Now before taking the inverse tangent of both sides, recall that
where
is any integer. This means that when taking the inverse tangent of
, instead of just
, we would end up with
So after doing so in the equation above, we're left with
As
can be any integer, including negative integers, we can simply write
Answer:
15 dollers
Step-by-step explanation:
Answer:
1. Equilibrium solution: y= -3
2. Equilibrium solution y= ±1.414
Step-by-step explanation:
Thinking process:
The equilibrium solution can only be derived when 
1. Let's look at the first equation:
equating to the expression 
gives
y + 3 = 0
y = -3
Therefore, the equilibrium solution occurs at y = -3
2. Let's look at the second solution:
dividing each side by (t²-1) gives
1/(t²-1)
= (y²-2)/ (y²-4)
factorizing the right hand side gives:
at equilibrium: , then
y² - 2 = 0
solving for y gives y = ±√2
= ±1.414
