Answer:
Choice B
Step-by-step explanation:
The first step is to write the polar equation of the conic section in standard form by dividing the numerator and denominator by 6;

The eccentricity of this conic section is thus 2/3, the coefficient of cos theta. Clearly, the eccentricity is between o and 1 implying that this conic section represents an Ellipse.
Lastly, the ellipse will open towards the left since we have positive cos theta in the denominator. The only graph that meets the conditions is graph B.
Answer:
Step-by-step explanation:
A'B' is 1/2 times the AB as the scale factor is 1/2.
<u>Find the length of AB using distance formula.</u>
- AB =

<u>And find A'B':</u>
- A'B' = 1/2*2

Correct choice is A
Answer:
8.45 grams
Step-by-step explanation:
In a science experiment, Shelly has to weigh a compound in grams. The balance in her school measures in milligrams (mg). Shelly finds that the weight of the compound is 8,450 mg. What is the value in grams (g) that Shelly should enter?
1 mg = 0.001 g
8450 mg = x
Cross Multiply
= 8450 × 0.001 g
= 8.45 g
Therefore, Shelly should enter 8.45 grams
Answer:
Steps 1 - 4 below explains it.
Step-by-step explanation:
The way that the soldiers get across the river and leave the boys in joint possession of the boat is;
1) The two 12- year - old boys will take the boat to the other side
2) Thereafter, one of the 12- year - old boys will return with the boat.
3) A soldier will now take the boat to the other side and the soldier will remain there while the other boy returns the boat.
4) Step 1 - 3 is a total of 4 trips. Thus, trip would be repeated the total of n times and the n number of soldiers would get across the river and leave the boys in joint possession of the boat after the total of 4n trips.
Answer:
<h3> in square feet</h3>
Step-by-step explanation:
Area of anything is<u> allways </u>reported <u>in square units</u>. Usually that is square of given unit because it's the simplest way:
R = 50 ft
A = πR² = π•(50 ft)² = π • 50 ft • 50 ft = 2500π ft² ≈ 7854 ft²
{Of course you can re-calculate the units, ex.:
3 feet = 1 yard so 50 ft = 50/3 yd then
A = πR² = π•(50/3 yd)² = π • 50/3 yd • 50/3 yd = 2500/9 π yd² ≈ 872.7 yd² }