Answer:
(a) 1.18
(b) 99.71
Step-by-step explanation:
to know the value of q in degrees we can use cosine of q
now to radians
the formula is
with x the degrees
so the measure of angle q is 1.18 radians
so now for part b
with being the central angle in radians
for degrees is the following
so we have
cm^2
Answer:
Intial Value: f(t) = 2 , Exponential Growth
Step-by-step explanation:
To find the initial value, all we have to do is find the value of f(t) at t = 0
In this case the given equation becomes
from the law of indices we know that any number with the power 0 is equal to 1 (except 0 with the power 0)
hence the above equation becomes
so the initial value is 2.
To find out whether this is exponential growth or exponential decay we need to see whether the base value of the power t is less than 1 or greater than 1, i.e. from
is
> 1 or
< 1
if the value is greater, then with each increment in power, the total value will increase while if it is less than 1 then with each increment in power the total value will decrease.
Hence since > 1 then this is an exponential growth
Answer: The drive was 24.32% full when the transfer began.
Step-by-step explanation:
Given: The rate of transferring file = 4.44 megabytes per second.
After 32 seconds, the amount of data on the drive = 384 megabytes
The amount of transferred data = megabytes
Therefore, the amount of data in the drive at the beginning is given by :-
The drive had a maximum capacity of 1000 megabytes.
Hence, the drive was 24.32% full when the transfer began.