Answer:
"changes the period to pi"
Step-by-step explanation:
f(t) = Sin(t),
Here, t is the period, by definition.
Multiply t by a number that is GREATER THAN 1, makes the period shorter and compressed.
Multiplying t by a number that is between 0 and 1 makes the period expanded.
For the first, if we multiply the period by a, the period becomes 
Since the problem tells us to multiply by 2, we know the period becomes compressed and becomes :

Third answer choice is right.
Answer:
Dividing each part into 10 and then summing the results up, is equivalent to dividing 89.5 into 10.
Step-by-step explanation:
This example refers to the Distributive Property of the division, which is valid when the dividend is decomposed.
A simple example could be: 400 ÷ 10 = (200 ÷ 10) + (200 ÷ 10)
In the exposed example we know that 89.5 = 80 + 9 + 0.5.
(80/10) + (9/10) + (0.5/10) =
8 + 0.9 + 0.05=
8.95
89.5/10 = 8.95
1/216 is the simplest, but <span>0.00462962962 is more precise.</span>
By geometry, there is a relationship between the tangent PA and the segments PB and PE, namely
PA^2=PB*PE
so
PE=PA^2/PA=6^2/4=9
BE=PB-PE=9-4=5