Answer:
The diameter will increase at a rate of 1/30π cm/min
Step-by-step explanation:
Here we want to calculate the rate at which the diameter will increase
Mathematically, the area of a sphere is given as;
A = 4πr^2
But r = d/2
so A = 4 * π * d/2 * d/2 = πd^2
dA/d(d) = 2πd
Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π
Given dA/dt = 10
Mathematically;
d(d)/dt = d(d)/dA * dA/dt
dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min
We are given:
The ratios of the number of hybrid vehicles to the total number of vehicles in the lot over a weekend (3 days) are equivalent.
This means that if on day 1, 100 hybrid cars parked and there are 300 cars in total, the ratio is 1 is to 3.
Therefore, on day 2 and 3, we can determine the number of hybrid cars parked given the total number of cars parked using the ratio, and vice versa.
Answer:
-10
Step-by-step explanation:
Solve for y by simplifying both sides of the equation, then isolating the variable
Answer:
a. 12/37
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you ...
Sin = Opposite/Hypotenuse
sin(A) = BC/AB = 12/37
