Answer:
16 feet height of the arch at a distance of 30 feet from the center
Step-by-step explanation:
Given data
span = 100 feet
height = 20 feet
to find out
the height of the arch at a distance of 30 feet from the center
solution
we know the equation of elliptical i.e.
x²/a² + y²/b² = 1 ......................1
from question we can say that length of major axis i.e
2a = 100
so a = 50
and height is
b = 20
so put a and b in equation 1
x²/a² + y²/b² = 1
x²/50² + y²/20² = 1
x²/2500 + y²/400 = 1
y²/400 = 1 - x²/2500
y / 20 =
y = 20
so now take value 30 for function f(30)
f(30) = 20
f(30) = 20
f(30) = 16 feet
so 16 feet height of the arch at a distance of 30 feet from the center
14. The pattern is subtracting one number higher each time from each as it goes
A because (0,-6) is the y-intercept so you start at the point you know. Then because slope is a rise over run fraction the slope can also be written as 2/1 which is rise 2 over 1.
Answer:
w= 8,1
Step by step:
w/9= 0.9
the 9, instead of dividing in becomes a multiplication, which you will multiply with 0.9, which is the answer
which goes like...
w/9 = 0.9
w = 0.9 x 9 = 8,1
And then we check it if it's true
8,1 / 9 = 0.9
And it is