Answer:

Step-by-step explanation:
Assuming that the patio is a rectangle, we have

Where
is the length and
is the width.
Now let's assume that the length of the patio is double than the width.

So, the equation that represents this problem is

Answer:
Increasing if f' >0 and decreasing if f'<0
Step-by-step explanation:
Difference quotient got by getting
will be greater than 0 if function is increasing otherwise negative
Here h is a small positive value.
In other words, we find that whenever first derivative of a function f(x) is positive the function is increasing.
Here given that for x1, x2 where x1<x2, we have
if f(x1) <f(x2) then the function is decreasing.
Or if x1<x2 and if f(x1) >f(x2) for all x1, and x2 in I the open interval we say f(x) is decreasing in I.
Answer:
(1/2)(sin(105°) +sin(345°))
Step-by-step explanation:
The relevant identity is ...
sin(α)cos(β) = (1/2)(sin(α+β) +sin(α-β))
This falls out directly from the sum and difference formulas for sine.
Here, you have α = 45° and β = 60°, so the relevant expression is ...
sin(45°)cos(60°) = (1/2)(sin(45°+60°) +sin(45°-60°)) = (1/2(sin(105°) +sin(-15°))
Recognizing that -15° has the same trig function values that 345° has, this can be written ...
sin(45°)cos(60°) = (1/2)(sin(105°) +sin(345°))
Answer:
15 cans
Step-by-step explanation:
2.4/0.16
As there are no given data to work with in this given problem, allow me to generally describe the steps involved in going about this type of problems.
If we are asked about rate, we simply divide the number of fuels (in gallons) used by the racing dragster by the time (in second) it takes for it to be consumed.