Answer: a) 
+ 
= 1
b) The distance of two foci is 85.4 feet
c) Area = 3502.67 square feet
Step-by-step explanation: a) An ellipse has the equation in the form of:
+
= 1, where a is the horizontal axis and b is the vertical axis.
For the Statuary Hall, a = 
= 48.5 and b = 
= 23, so the equation will be
+ = 1.
b) To determine the distance of the foci, we have to calculate 2c, where c is the distance between one focus and the center of the ellipse. To find c, as a, b and c create a triangle with a as hypotenuse:
= 
c = 
c = 42.7
The distance is 2c, so 2·42.7 = 85.4 feet.
The two foci are 85.4 feet apart.
c)The area of an ellipse is given by:
A = a.b.π
A = 48.5 · 23 · 3.14
A = 3502.67 ft²
The area of the floor room is 3502.67ft².
Answer:
0.471
Step-by-step explanation:
The mnemoic SOH CAH TOA reminds you that ...
... Sin = Opposite/Hypotenuse
... sin(S) = 32/68 ≈ 0.471
Complete question :
When the monarch butterfly is migrating to the south, it has an average speed of 80 miles per day. Write an equation that shows the realtionship between the number of days (t) and the distance (in miles) it has traveled (d)
Answer:
d = 80t
Step-by-step explanation:
Given :
Average speed = 80 miles per hour
Distance traveled (in miles) = d
Number of days = t
Equation which shows the Relationship between Number of days and distance traveled :
Recall :
Speed = distance / time
Speed = 80 ; distance = d ; time = t
80 = d/t
80 * t = d
d = 80t
Answer:
P(B and B) = 1/9
Step-by-step explanation:
There are 4+3+5 = 12 tiles in total
The probability of selecting a B would be 4/12=1/3
When you are replacing a B tile, planning to pick a B tile again, the total tile count doesn't change. Therefore, because the two events are independent, their probabilities are multiplied and so P(B and B) = P(B) * P(B) = 1/3 * 1/3 = 1/9
Answer:
41
Step-by-step explanation:
Divide 2818 by 70 and it comes out to: 40.2571429 it is not 40 because their is still some left over so there will be 41 ferry's and one of them will not be a full ride!
