Answer:
see explanation
Step-by-step explanation:
For a function each value of x in the domain must map to exactly one unique value of y in the range.
This is the case here so it is a function.
The domain is the x- coordinates of the points
domain is { 5, 6, 7 }
The range is the y- coordinates of the points
range is { 2, 3, 4 }
This is a doozy so pay attention. First thing you have to recognize is that is a trig identity, the sum identity for cosine to be exact. That formula is
.
So that means you need to find the cosine of alpha and the sin of beta. We are given the sin of alpha being 4/5 in the first quadrant. If you set up the sin ratio which is side opposite over hypotenuse of a right triangle, you put the 4 on the side opposite the reference angle, alpha, and the hypotenuse of 5 on the terminal ray and then you have to find the missing side of the right triangle you created. Using Pythagorean's theorem, you find that the missing side, which is the adjacent side to alpha, is 3. Now you can find the cosine of alpha as well, since cosine is the side adjacent, 3, over the hypotenuse, 5. So far wwe have
and
for that first angle. Now moving on to the second angle. The cosine of beta is side adjacent, 5, over the hypotenuse, 13, and we are missing the side opposite the reference angle beta. Using Pythagorean's theorem again to find the side opposite, we have that that side measures 12. Now we can find the sine of beta using that opposite side, 12, over the hypotenuse, 13. What we have now is
and
. According to the identity, we have to multiply those ratios now:
.
When you do that you get
.
Of course in order to subtract those 2 fractions you need a common denominator which is 65 so
which gives you a final answer of 
which is the first choice given above. There you go!
Answer: the greatest number of courses for which miranda can register is 2
Step-by-step explanation:
Let x represent the number of courses for which Miranda can register.
If her college charges a $90 registration fee for the term plus $475 per course, it means that the total amount that the college charges for x courses would be
475x + 90
Miranda’s financial aid stipulates that her tuition not exceed $1200(it must be at most $1200). This means that
475x + 90 ≤ 1200
475x ≤ 1200 - 90
475x ≤ 1110
x ≤ 1110/475
x ≤ 2.34
Answer:
180 degrees
Step-by-step explanation:
did it on khan
You didn't include the actual number in inches.
