Answer:

Step-by-step explanation:
Let's start with the original function.

We can immediately fill in the amplitude 'a' and period 'T' , as the question defines these for us, and provides values for 'a' and 'T', 4 and 4
respectively.

Now we only have phase shift and vertical shift to do. Vertical shift is very easy, you can just add it to the end of the right side of the expression. A positive value will shift the graph up, while a negative value will move shift the graph down. We have '-2' as our value for vertical shift, so we can add that on as so:

Now phase shift the most complicated of the transformations. Basically, it is just movement left or right. A negative phase shift moves the graph right, a positive phase shift moves the graph left (I know, confusing!). Phase shift applies directly to the x variable, or in this case the t variable. To achieve a -4/3 pi phase shift, we need to input +4/3 pi into the function, because of the aforementioned negative positive rule. Here is what the function looks like with the correct phase shift:

This function has vertical shift -2, phase shift -4/3
, amplitude 4, and period 4
.
Desmos.com/calculator is a great tool for learning about how various parts of an equation affect the graph of the function, If you want you can input each step of this problem into desmos and watch the graph change to match the criteria.
Answer:
2058
Step-by-step explanation:
Answer:
67.38
Step-by-step explanation:
SinX=opp/hyp
Angles then arcsin
Answer:
The correct option is A.
Step-by-step explanation:
The given number is

Where 5 is dividend and 11 is divisor.
Since dividend is less than divisor we add a decimal place and the first zero. Notice the decimal point which has appeared on the answer line and by the dividend. It does not appear anywhere else.
Now the dividend is 50. Divide the number by divisor.

Subtract 44 from 50.

Therefore remainder is 6. Place a zero after 6.
Now the new dividend is 60. Divide the number by divisor.

Subtract 55 from 60.

Therefore remainder is 5.


Therefore option A is correct.