the standard form for a horizontal ellipse is
X^2/a^2 + y^2/b^2 = 1
Substitute 54 for b and and use (8,18) as the
point to find a
x=8
y=18
8^2/a^2 + 18^2/54^2 =1
64/a^2 + 324/2916 = 1
324/2916 reduces to 1/9
64/a^2 + 1/9 = 1
64/a^2= 1-1/9
64/a^2 = 8/9
64*9/8 = a^2
576/8 = 72
A^2 = 72
A = square root(72) = 8.485
So formula
would be x^2/72 + y^2/2916 =1
False
because tan^2 45 = 1^2 = 1
and sec^2 x = 1/ cos^2 45 = (sqrt2)^2 = 2
so the sum = 3
That value would be written as 36,214.009
Answer:
1:25
Step-by-step explanation:
Given
<u>Dimensions of swimming pool:</u>
<u>Dimensions on paper:</u>
<u>Scale is the ratio of same measurements:</u>
- w/W = 8 cm/2 m = 8 cm / 200 cm = 1/25
So the scale is 1:25