The answer is C: Divide the arc's degree measure by 360°, then multiply by the circumference of the circle.
Explanation.
Let r = radius of the circle
Then the circumference is C = 2πr.
Let the degree measure of the arc be x degrees.
In radians, the angle is (x/180)π radians
The measure of the arc is
r*(x/180)π = (x/180)*πr
= (2x/360)*πr
= (x360)*2πr
= (x/360)*C
This proves the statement for the answer because
x/360 is the degree measure divided by 360,
C is the circumference.
If Don eats one serving a day of both he will run out of jelly on day 40
of peanut butter on day 72
if he makes a peanut butter and jelly every day he will run out on day 40
C(x) = 200 - 7x + 0.345x^2
Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.
Range is the set of possible results for c(x), i.e. possible costs.
You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.
You can substitute some values for x to help you, for example:
x y
0 200
1 200 -7 +0.345 = 193.345
2 200 - 14 + .345 (4) = 187.38
3 200 - 21 + .345(9) = 182.105
4 200 - 28 + .345(16) = 177.52
5 200 - 35 + 0.345(25) = 173.625
6 200 - 42 + 0.345(36) = 170.42
10 200 - 70 + 0.345(100) =164.5
11 200 - 77 + 0.345(121) = 164.745
The functions does not have real roots, then the costs never decrease to 0.
The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.
Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.
Answer:
A is wrong
Step-by-step explanation:
Answer:
-2n+6
Step-by-step explanation:
5n+6+(-7n)
5n+6-7n
5n-7n+6
-2n+6
Hope this helps ;) ❤❤❤