Solve. Write a mixed numeral for the answer.Find the perimeter (distance around) of the polygon below. Each side of the polygon has the same length. 
side length = 5
yd
A. 35
yd
B. 46 yd
C. 37
yd
D. 40
yd
Answer: D
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Find the standard-form equation for an ellipse which satisfies the given conditions.An ellipse centered at the origin having focus at (4, 0) and eccentricity equal to 
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ y2 = 1
Solve the problem.In 1838, the German mathematician and astronomer Friedrich Wilhelm Bessel was the first person to calculate the distance to a star other than the Sun. He accomplished this by first determining the parallax of the star, 61 Cygni, at 0.314 arc seconds (Parallax is the change in position of the star measured against background stars as Earth orbits the Sun. See illustration.) If the distance from Earth to the Sun is about 150,000,000 km and ? = 0.314 seconds = 
minutes = 
degrees, determine the distance d from Earth to 61 Cygni using Bessel's figures. Express
the answer in scientific notation. 
A. 9.85 × 1013 km
B. 1.05 × 1014 km
C. 1.97 × 1014 km
D. 2.28 × 1013 km
Find the area.
All segments are of equal length
A. 2116 ft2 B. 276 ft2 C. 1587 ft2 D. 2645 ft2
Diane has decided to play the following game of chance. She places a $1 bet on each repeated play of the game in which the probability of her winning $1 is 0.7. She has further decided to continue playing the game until she has either accumulated a total of $4 or has lost all her money.
What is the probability that Diane will eventually leave the game a winner if she started with a capital of $1? What is the probability that Diane will eventually leave the game a winner if she started with a capital of $2? What is the probability that Diane will eventually leave the game a winner if she started with a capital of $3? Write your answer as a decimal rounded to two decimal places.