Answer:
b. circle; 
Step-by-step explanation:
The given conic has equation;

We complete the square to obtain;

This is a circle with center;

This implies that;

When the circle is rotated through an angle of
,
The new center is obtained using;
and 
We plug in the given angle with x and y values to get;
and 
This gives us;

The equation of the rotated circle is;

Expand;

Multiply through by 4; to get

Write in general form;

Divide through by 2.

Answer:
Step-by-step explanation:
<u>Volume of a cylinder:</u>
<u>Container A</u>
- r = 10 ft, h = 11 ft
- V = π*10²*11 = 1100π ft
<u>Container B</u>
- r = 7 ft, h = 19 ft
- V = π*7²*19 = 931π ft²
<u>After pump out the container A has the level of:</u>
<u>Level % in the container A:</u>
- 169π/1100π×100% = 15.4% rounded to the nearest tenth
Answer:
Part 4) 
Part 5) 
Part 6) 
Step-by-step explanation:
Part 4) Find ER
we know that
In the right triangle ERF
Applying the Pythagorean Theorem

substitute the given values

solve for ER


Part 5) Find DF
we know that
In the right triangle DRF
Applying the Pythagorean Theorem

substitute the given values


simplify

Part 6) Find DE
we know that
----> by segment addition postulate
we have

substitute

Step-by-step explanation:
Nickels = 112 * 3 / (3 + 4 + 7) = 24.
Answer:
you are thinking the number 10