Responde 56:
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
which side is x ? the Hypotenuse - the side opposite of the 90 degree angle ? or is it one side touching the 90 degree angle ?
that is important. we need to know which side is the Hypotenuse to make the right calculations.
if I assume x is the Hypotenuse, then the calculation follows Pythagoras like this
x² = 12² + 16² = 144 + 256 = 400
x = sqrt(400) = 20
but just in case, if x is a side touching the 90 degrees angle, then the would look like this (depending on which of the other sides is the Hypotenuse)
either
12² = 16² + x²
144 = 256 + x²
-112 = x²
that did not work. a square root of a negative number did not work for actual distances.
or
16² = 12² + x²
256 = 144 + x²
112 = x²
x = sqrt(112) = 10.58
Let
h: height of the water
r: radius of the circular top of the water
V: the volume of water in the cup.
We have:
r/h = 3/10
So,
r = (3/10)*h
the volume of a cone is:
V = (1/3)*π*r^2*h
Rewriting:
V (t) = (1/3)*π*((3/10)*h(t))^2*h(t)
V (t) =(3π/100)*h(t)^3
Using implicit differentiation:
V'(t) = (9π/100)*h(t)^2*h'(t)
Clearing h'(t)
h'(t)=V'(t)/((9π/100)*h(t)^2)
the rate of change of volume is V'(t) = 2 cm3/s when h(t) = 5 cm.
substituting:
h'(t) = 8/(9π) cm/s
Answer:
the water level is rising at a rate of:
h'(t) = 8/(9π) cm/s
Answer:
The correct option is 3.
Step-by-step explanation:
It is given that the oblique prism has a rectangular base with a width of 10 units and a length of 13 units. The top base extends 8 units to the right of the bottom base.
From the figure the height of prism is
The height of prism is 15.
The volume of prism is
The volume of prism is 1950 unit². Therefore the correct option is 3.