B because absolute value means that the number inside the absolute value brackets is the positive version of the number
The balloon has a volume 
dependent on its radius 
:
Differentiating with respect to time 
gives
If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of
The surface area of the balloon is
and differentiating gives
so that at the moment the radius is 3 m, its area is increasing at a rate of
Answer:
51 cm^2
Step-by-step explanation:
To find the area excluding the shaded triangle, first find the area of the whole figure:
12 x 6 = 72cm^2
Now, find the area of the triangle:
(7 x 6) / 2
42/2
21cm^2
Lastly, subtract the shaded area from the whole:
72 - 21 = 51 cm^2
Answer:
Michael buys 800 hockey cards from jackson
Using the pythagorean theorem, the value of x would be eight. The equation of Pythagorean is
a^2 + b^2 = c^2
(C is the hypotenuse. Hypotenuse being the length of 10) Applying the lengths leaves us with the equation
36 + x^2 = 100.
You then subtract 36 from 100 to get X alone on the opposite side of the equation.
X^2 = 64
Lastly, you take the square root of 64. Therefore, the final answer will be eight.
