Answer:
(a) 0.198 cm/s (b) 1 cm/s
Step-by-step explanation:
It is given that,
The rate of change of area of a cicle,
(a) The area of a circle is given by :
Differentiate both sides,
(b) Circumference, = 5 cm
Hence,
(a) 0.198 cm/s (b) 1 cm/s
Answer:
30 is the correct answer
Step-by-step explanation:
30 is the correct answer
If you need more hep just tell me.
Hope this helps.
Let L represent the length of the rectangle
Let W represent the length of the rectangle
The length of a rectangle is five less than twice its width. This means that
L = 2W - 5
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
Given that perimeter = 62, it means that
2(L + W) = 62
L + W = 62/2
L + W = 31
W = 31 - L
Substituting W = 31 - L into L = 2W - 5, it becomes
L = 2(31 - L) - 5
L = 62 - 2L - 5
L + 2L = 62 - 5
3L = 57
L = 57/3
L = 19
W = 31 - L = 31 - 19
W = 12
Length = 19 inches
Width = 12 inches
Answer:
7
Step-by-step explanation:
You can estimate the number as being ...
(100 -50)/7 = 50/7 = 7 r 1
That is, there are likely to be 7 multiples of 7 between 50 and 100. This is a small enough number of them that we can count them:
56, 63, 70, 77, 84, 91, 98 . . . . 7 multiples of 7
_____
In general, you want to make sure that you don't overlook one at the beginning or end of the range. One way to ensure that you get a correct count is to write an equation for the n-th multiple of 7 in the range. Here, that would be 49+7n. We would want to find n such that ...
49 +7n ≤ 100
7n ≤ 51
n ≤ 51/7 = 7 2/7
The largest integer n less than 7 2/7 is 7, so there are 7 multiples of 7 between 50 and 100.