In this question, the given value is

And we have to find the value of sin theta and tan theta where theta is in first quadrant .
And in first quadrant, all are positive .
Now we use the formula, which is

And tan theta is the ratio of sin theta and cos theta, that is

So the correct option is B .
Answer:
The north campus had
while the south campus had
.
Step-by-step explanation:
The question stated that there are
students in the merged campus. That's the sum of the number of students in the north and the south campus before the merger.
Let
denote the number of students in the north campus before the merger. The other
students would all belong to the south campus before the merger.
Before the merger,
of the students of the north campus are of music majors. In terms of
, that's
students.
On the other hand,
of the students of the south campus are of music majors. That corresponds to
students.
With a similar logic, the number of music students in the merged east campus will be
.
The question implies that the sum of students in the two campuses should be equal to the number of music students in the east campus. That is:
.
Solve for
:
.
In other words, there are
students in the north campus and
students in the south campus before the merger.
Answer:
A' (-2,8) B' (-2,-4) C' (4,-4)
Step-by-step explanation:
Dilations Rule :
(x,y) → (kx,ky)
Scale factor = K
When your scale factor is more than one our triangle gets bigger. When your scale factor is less than one our triangle gets smaller.
( you plug in 2 in every point and those are your answers).
Remember negative times negative is positive and positive times negative is negative.
Answer:
The y-intercept is (0,5)
Step-by-step explanation:
y-intercept can be found by plugging x=0 into given equation
f(x)=5(6)^0=5(1)=5
which same as given y-intercept (0,5)