ANSWER
Quotient:

Remainder:

EXPLANATION
The given functions are

and

We want to find the remainder and quotient when f(x) is divided by g(x).
We perform the long division as shown in the attachment.
The quotient is

The remainder is
Answer:
cos210=cos(180+30)=−cos30=−√32 . sin210=sin(180+30)=−sin30=−12 . 3(cos210+isin210) =3(−√32)+3i(−12). −(32)√3−(32)i. My favourite way of seeing that sin30=12 and cos30=√32 is ...
Step-by-step explanation:
But that's what I say personally
Answer:
You can see the graph below.
To answer the question, you need to draw a vertical line from x = 12h up, until the line meets with the line.
Once the line meets with the line, draw a horizontal line from that point, and the value where this line intersects with the y-axis will be the distance from home after 12 hours.
The graph is kinda hard to read because the line is really steep, the green line is the equation y = 40*x
the red line is a line at x = 12
The black dashed line is the horizontal line that intersects with the y-axis.
In the graph, you can see that the dashed line intersects the y-axis at around y = 475.
Then a good estimate is that the distance after 12 hours is 475 (miles).
Now, we can compare this with the direct calculation, just replace x by 12 in the given line:
y = 40*12 = 480.
So our estimation is really accurate.
Answer:
.45
Step-by-step explanation:
Para convertir 9/20 a decimal, simplemente divide 9 entre 20. No se preocupe. No necesita sacar la calculadora, porque lo hicimos por usted.
9/20 como decimal es: .45
You have to divide your friends weigh by 1.2 to get the result. : if you were 1.2 times taller than they, you would multiply, so the oppisite is dividing!
so it will be 64.5/1.2=53.75.