Yes - they have to be similar. Since they are using the same line as the hypotenuse, the ratio of the other two sides are in the same ratio (ie, the slope of the line), the 3 inner angles will be the same. Thus, the triangles will be similar.
Answer:
The measured side is not shown, so i will answer in a general way.
A cube is a 3-dimensional object with 6 square faces.
You know that all the sides of a square have the same length, then is the same for the cube.
To calculate the volume of a cube, we start with the area of the base.
The base is a square of sidelength L (Suppose that L is the length of the measured side)
The area of the base is:
A = L^2.
To find the volume, we must multiply the area of the base by the height of the fire (because the section of the base does not change).
And the height of the cube is also L.
Then the volume is:
V = L*a = L^3
Answer:
2/π ≈ 0.637 m/s
Step-by-step explanation:
The rate of change of area with respect to time is ...
A = πr²
dA/dt = 2πr·dr/dt
Filling in given values in the above equations, we can find r and dr/dt.
25π = πr² ⇒ r = 5
20 = 2π·5·dr/dt
dr/dt = 20/(10π) = 2/π . . . . meters per second
The radius is increasing at the rate of 2/π ≈ 0.637 meters per second.
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