Answer:
Step-by-step explanation:
According to the trapezoid area formula, the area of a trapezoid is equal to half the product of the height and the sum of the two bases. Area = ½ x (Sum of parallel sides) x (perpendicular distance between the parallel sides). Where, h is the height and b1 and b2 are the parallel sides of the trapezoid.
Answer:
16>2.3b
Step-by-step explanation:
1.5+0.8=2.3
Substitute b as 1. Which would still keep it as 2.3.
First, you have to simplfy your equations, 2x+3y=3. Subtract 2x from both sides, get 3y=-2x+3. Divide each side by 3, get y=-2/3x+1.
Simplify your other equation, 2y=3x-4. Divide each side by 2, get y=3/2x-2.
Now you have your 2 equations, y=-2/3x+1, and y=3/2x-2. These lines are perpendicular if you make a graph and plot the lines.
I’ll attach a photo of the correct answer so sorry for my handwriting.
Answer: dr/dt = 0.042 cm/minute
Step-by-step explanation:
Given;
dV/dt = 4cm^3/minute
t = 2.25minutes
Volume of a sphere is given as;
V = (4/3)πr^3
Change in Volume ∆V can be derived by differentiating the function.
dV/dt= 4πr^2 . dr/dt
dV/dt = 4πr^2dr/dt ....1
dV/dt is given as 4 cm^3/min
radius after 2.25 minutes can be gotten from the the volume.
Volume after 2.25mins = 4×2.25 = 9cm^3
9cm^3 = V = 4/3πr^3
r^3 = 27/4π
r = (27/4π)^1/3
From equation 1.
dr/dt = (dV/dt)/4πr^2 = 4/(4πr^2) = 1/(πr^2)
dr/dt = 1/(π(27/4π)^2/3)
dr/dt = 0.042cm/minute.
