Answer:
3 boxes.
Step-by-step explanation:
Let x represent number of 1.2 pounds boxes.
We have been given that Mr. Smith has 15.6 pounds of oranges to pack for shipment. He can ship 2.4 pounds of oranges in a large box and 1.2 pounds in a small box.
The oranges covered in x small boxes would be
Oranges packed in 5 large boxes would be
.
We can represent our given information in an equation as:
Therefore, the minimum number of small boxes required to ship the rest of the oranges would be 3 boxes.
Answer:
The volume of the solid is π/40 cubic units.
Step-by-step explanation:
Please refer to the graph below.
Recall that the area of a semi-circle is given by:

The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:

Substitute:

Simplify:

Integrate:
![\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20%5Cleft%5B%5Cfrac%7Bx%5E5%7D%7B20%7D%5CBig%7C_0%5E1%5Cright%5D)
Evaluate:

The volume of the solid is π/40 cubic units.
9514 1404 393
Answer:

Step-by-step explanation:
The angle to the point in the second quadrant is measured from the positive real axis (the x-axis). Second quadrant angles are between 90° and 180°, leaving the 135° choices as the only ones that make sense.
The magnitude of z is the root of the sum of the squares of its components:
|z| = √((-6)^2 +6^2) = 6√2
So, the polar form of z is ...

this matches the first choice