Answer:
the span of the bridge is 73.7 feet
Step-by-step explanation:
The equation of an ellipse with a vertical major axis(i.e major axis parallel to y axis) is given by:
a>b
where (h,k) are the coordinates of the center of the ellipse, a is the length of the major axis and b is the length of the minor axis
For this problem, the center of the ellipse (h,k) = (0,0)
Therefore:
The top of the arch is 20 feet above the ground level (the major axis), therefore a=20
length of the major axis = 2a= 2*20 = 40
The coordinates of the ellipse (x,y) = (28,13)
b² ≅ 1358
b≅36.85
Length of minor axis (2b) = 73.7 feet.
the span of the bridge is 73.7 feet
Answer:
180a-100b= 100c * 50
Step-by-step explanation:
was apart of my unit test goodluck!
Answer:-2/5, -3/4, 0, 3/4, 19/10, 8/3
Step-by-step explanation:
Answer:
1222
Step-by-step explanation:
You have a triangular prism on top of a rectangular prism. The surface area is the sum of the areas of the exposed faces.
Starting with the triangular prism, the surface area is the area of the two triangular bases plus the area of the two rectangular sides (the bottom rectangular face is ignored).
A = ½ (10) (12) + ½ (10) (12) + (13) (9) + (13) (9)
A = 60 + 60 + 117 + 117
A = 354
The surface area of the rectangular prism is the area of the two rectangular bases (front and back), plus the two walls (left and right), plus the bottom, plus the top (minus the intersection with the top prism).
A = (19) (11) + (19) (11) + (9) (11) + (9) (11) + (19) (9) + (19) (9) − (10) (9)
A = 209 + 209 + 99 + 99 + 171 + 171 − 90
A = 868
So the total surface area is:
354 + 868
1222
