The reference angle for 240° is 60° because 240 is in quadrant III. If you were to subtract 240 from 180 you’d get 60.
Answer:
Hello! answer: 55
Step-by-step explanation:
55 + 35 = 90 HOPE THAT HELPS!
Answer:
The y-intercept of the equation is 100 and represents the initial studio-use fee.
Step-by-step explanation:
In this equation, our t variable (time) is the equivalent of the x-variable on a graph. This is because it is the variable that we 'change' to see its impact on y. We see how the amount of hours affects the price. So our P variable (price) is the equivalent of y on a graph. The y-intercept is where the line crosses the y-axis on a graph. At this point, x=0.
Since P is our y, and t is our x, to find the y-intercept, we simply need to make t = 0.
P = 50(0) + 100
P = 100
Therefore the y-intercept is 100.
In this context, t represents time, so even though the studio has been used for 0 hours, the price is still 100. This is because the 100 represents the initial studio-use fee, and using it for certain amounts of time adds onto the initial fee of $100. The hourly fee is represented by 50t so it costs $50 more for each hour of use.
Hope this helped!
Answer:
I = 91.125
Step-by-step explanation:
Given that:
where E is bounded by the cylinder
and the planes x = 0 , y = 9x and z = 0 in the first octant.
The initial activity to carry out is to determine the limits of the region
since curve z = 0 and
∴ 

Thus, z lies between 0 to 
GIven curve x = 0 and y = 9x

As such,x lies between 0 to 
Given curve x = 0 ,
and z = 0,
y = 0 and

∴ y lies between 0 and 9
Then 











I = 91.125