Answer:
32
Step-by-step explanation:
We let the length of the square be l, the diagonal be z and the area be A.
Then by Pythagoras theorem;

The are of a square of length l is given as;

Combining these two equations yields;


Next, we have been given;

We are required to find;
when z = 4
By chain rule;

Differentiating
with respect to z yields;

Therefore,
= 8z
When z is 4m the area of the square will be increasing at a rate of;
8m/min * 4m = 32
Answer:
she can pick each marble and she can get two heads or two tails
Step-by-step explanation:
8
To answer this item, we let x be the time in which Tyler and Sophia will be able to cover the same distance along the circular track. Since Sophia runs faster, she will be able to finish the track and y meters more while Tyler will be able to finish y meters only.
5(x) = 400 + y
4(x) = y
The values of x and y are 400 and 1600. Thus, it will take 400 seconds for then to meet again.
Answer:
The correct answer is part c:132
Answer:
Surface Area = 6.28 x 5.223 x 3 + 6.28 x 10.446 = 164 cm^2
Step-by-step explanation:
A=2πrh+2πr2
When we divide 245 by 1.5 we find 164cm^2