9(n+7) = 18(n+1)
9n + 63 = 18n + 18
9n = 45
n = 5
answer
n = 5
7/12
..............................
Step-by-step explanation:
value of d = 90° ( as it's a perpendicular)
e = 49° ( vertically opposite angle)
as, sum of all angles on a straight line is 180°
so,
48° + f = 180°
f = 180 - 49 = 131°
f = 131°
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Answer:
36.12
Step-by-step explanation:
43% of 84 can be rewritten to 43% * 84 or 43/100 * 84.
43/100 * 84/1 = 3612/100
3612/100 = 36.12
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.