Answer:
(13/2) cm
Step-by-step explanation:
The hypotenuse here is of length 13 cm. The shorter leg lies opposite to the 30° angle. Recall that the sine function is defined as
opposite side
sin Ф = -----------------------
hypotenuse
which, in this case, works out to:
opposite side
sin 30° = -----------------------
13 cm
and so the length of the opposite side (which is also the "shorter leg") is
shorter leg length = (13 cm)(sin 30°) = (13 cm)(1/2) = (13/2) cm
There are 2 ways that spring to mind.
One is to use the definition of the derivative at a point:
In this case, 
and 
. Then
- - -
If you don't know about derivative yet (I would think you do, considering this is for a midterm in AP Calc, but I digress), the other way is to rely on algebraic manipulation. Multiply the numerator and denominator by the conjugate of the numerator to get
This is continuous at 
, so the limit is the value of the expression at :
Do 540 ÷ 45 as you're first step. Then multiply that by 3/4.
540÷4= 12.
<h2><em>
12 × 3/4 = 9. Awnser</em>: 9</h2>
All of them have the same answer of -8 except the last one.
