Answer:
The correct option is;
21 ft
Step-by-step explanation:
The equation of the parabolic arc is as follows;
y = a(x - h)² + k
Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)
We therefore have;
y = a(x - 20)² + 25
Whereby the parabola starts from the origin (0, 0), we have;
0 = a(0 - 20)² + 25
0 = 20²a + 25 → 0 = 400·a + 25
∴a = -25/400 = -1/16
The equation of the parabola is therefore;
To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28
Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;
.
Answer:
2. angle BAD is equal to angle DCB?
3. angle CBA is equal to angle ADC, then
4.triangle BEA is equal to triangle DEC and triangle BEC is equal to DEA
Step-by-step explanation:
since line BCD is equal to line DAB
AND line CBA is equal to line ADC
and because BEA triangle equals DEC, angles BEA and DEC are congruent
and angle BEC is equal to DEA
and yeah your right, it would be supplementary.
Answer:
is it 7?
Step-by-step explanation:
A^2+B^2=C^2
160^2+120^2=c^2
25600+14400=c^2
40000=C^2
square root(40000=c^2)
diagonal is 200m
100^2+b^2=200^2
10000+b^2=40000
b^2=30000
square root(b^2=30000)
Unknown side is 173.2m
120×160×.5= 9600 m^2
this is bottom triangles area
100×173.2×.5=8650 m^2
this is the top triangle area
8650+9600= 18,250 m^2
total area
