Answer:
D
Step-by-step explanation:
Cuz sqr root of 20 = 2 sqrt 5, -2 sqrt 5
Answer:
l think the answer is C
32.70m
Step-by-step explanation:
we all know that perimeter is the distance round the shape.
so the first step is adding 6 +6 because the other side of the shape is also 6 then add 5 and this equals to 17.
After that we find the area of the circle
which is 3.14*5= 15,7
After getting this value we add it to 17
then we get 32.70m
Answer:
26 laps
Step-by-step explanation:
Olivia : Alexis = 3 : 4
3x + 4x = 63
7x = 63
x = 9
Alexis = 4 x 9 = 36
X - the number of loads by land carriers,
y - the number of loads by air carriers;
The system of inequalities:
x + y ≤ 150
2,000 x + 1,250 y ≤ 180,000
Answer:
285,753 cm³/min
Step-by-step explanation:
The rate of change of volume is the product of the water's surface area and its rate of change of depth.
At a depth of 2 m, the water has filled 1/3 of the 6 m depth of the tank. So, the radius at the water's surface will be 1/3 of the tank's radius of 2 m. The water's surface area is ...
A = πr² = π(2/3 m)² = 4π/9 m²
The rate of change of depth is 0.2 m/min, so the volume of water is increasing at the rate ...
dV/dt = (0.20 m/min)(4π/9 m²) = 8π/90 m³/min ≈ 279253 cm³/min
This change in volume is the difference between the rate at which water is being pumped in and the rate at which it is leaking out:
2.8×10⁵ cm³/min = (input rate) - 6500 cm³/min
Adding 6500 cm³/min to the equation, we get ...
input rate ≈ 285,753 cm³/min
