Answer:
Mark!
Step-by-step explanation:
say you have 20 cookies, Mark ate on fifth so that would be 4, bringing him with 16 left
Chris ate 1/4 which would be 5, he would have 15 left
In 3 hours, the two planes will be 2,700 miles apart.
If in one hour, the planes get 900 miles apart, it will take 3 hours to become 2,700 miles apart.
《----- and -----》 Indicatethe planes moving in opposite directions.
The number indicate the distance traveled.
The amount of times the number is repeated indicates the amount of hours flown (ex.: 50+50+50+50 would indicate 4 hours flown because there are 4 50s in the sequence).
So
《-----300 + 600-----》
=900 miles in one hour
《------300+300 and 600+600-----》
=1,800 miles in 2 hours
《-----300+300+300 and 600+600+600-----》
=2,700 miles in 3 hours
Answer:
90 cm
Step-by-step explanation:
Let the side of the square be S
Area of the square = S² = 64
So, S = √64 = 8 cm
Let L be the length of the rectangle and B be the breadth
We know B = S = 8
Area of rectangle = BL = 8L
Total area = Area of square + area of rectangle
Total area = 64 + 8L = 232 (given)
Subtracting 64 from both sides yields
8L = 232-64 = 168 or L = 168/8 = 21
Perimeter of square = 4S = 4 x 8 = 32
Perimeter of rectangle = 2(B + L) = 2(8 + 21) = 2 x 29 = 58
Total perimeter = 32 + 58 = 90 cm
For the answer to the question above,
The mean value theorem states the if f is a continuous function on an interval [a,b], then there is a c in [a,b] such that:
<span>f ' (c) = [f(b) - f(a)] / (b - a) </span>
<span>
So [f(a) - f(b)] ( b - a ) = [sin(3pi/4) - sin(pi/4)]/pi </span>
= [sqrt(2)/2 - sqrt(2)/2]/pi = 0
So for some c in [pi/2, 3pi/2] we must have f ' (c) = 0
In general f ' (x) = (1/2) cos (x/2)
We ask ourselves for what values x in [pi/2, 3pi/2] does the above equation equal 0.
0 = (1/2) cos (x/2)
0 = cos (x/2)
x/2 = ..., -5pi/2, -3pi/2, -pi/2, pi/2, 3pi/2, 5pi/2,...
x = ..., -5pi, -3pi, -pi, pi. 3pi, 5pi, ....
and x = pi is the only solution in our interval.
So c = pi is a solution that satisfies the conclusion of the MVT