1) 10 3/10
3) 2 1/2
4) 10 2/3
6) 6 1/2
7) 4 3/4
9) 1 8/9
10) 1 5/6
Answer:
b) a cylinder with diameter of 4
Step-by-step explanation:
the square is being rotated about the line m, the sides of the rectangle being cut by the line, have a total length of 4which would be the diameter of the cylinder
Answer:
The correct option is D) 
Step-by-step explanation:
Consider the provided information.
People are entering a building at a rate modeled by f (t) people per hour and exiting the building at a rate modeled by g (t) people per hour,
The change of number of people in building is:

Where f(t) is people entering in building and g(t) is exiting from the building.
It is given that "The functions f and g are non negative and differentiable for all times t."
We need to find the the rate of change of the number of people in the building.
Differentiate the above function with respect to time:
![h'(x)=\frac{d}{dt}[f(t)-g(t)]](https://tex.z-dn.net/?f=h%27%28x%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Bf%28t%29-g%28t%29%5D)

It is given that the rate of change of the number of people in the building is increasing at time t.
That means 
Therefore, 
Hence, the correct option is D) 
Answer:
ASA
Step-by-step explanation:
In ΔBAD , ΔBCE
∠BAD = ∠BCE
AD= EC { GIVEN}
∠ABD = ∠CBE { COMMON TO BOTH TRIANGLES}
9514 1404 393
Answer:
D. MN ⊥ LP
Step-by-step explanation:
Using HL for the proof requires that the triangles be right triangles. In order to ensure that is the case, you must have MN⊥LP.