Answer:
The equation of the ellipse is
Step-by-step explanation:
Let the equation of the ellipse is {As the center of the ellipse is at the origin}
Therefore, the vertices of the ellipse are (± a,0) and foci are (± ae,0)
Now, given that a = 3 and ae = 2
Now, eccentricity of a ellipse is given by b² = a² - a²e² = 3² - 2² = 5
Therefore, the equation of the ellipse is (Answer)
Answer:
The length of the bridge is 126.492 feet.
Step-by-step explanation:
Let , where is the position from the middle of the bridge, measured in feet, and is the height of the bridge at a location of x feet, measured in feet. In this case, the length of the bridge is represented by the distance between the x-intercepts of the parabola, which we now find by factorization:
(Eq. 1)
Given that the parabola is symmetrical with respect to y-axis, then the length is two times the magnitude of the value found above, that is:
The length of the bridge is 126.492 feet.
Answer:
32
Step-by-step explanation:
32 × 1 = 32
8 × 4 = 32
Therefore, the LCM is 32
To find the total surface area of this cone, we have that the total lateral area is given by the formula:
Where
s is the slant height of the cone, s = 12 inches.
r is the radius of the base of the cone, r = 7 inches.
To that area, we need to add the area of the base of the cone:
That is, this is the area of a circle with this radius. Then, the total surface area is:
Substituting the values in this formula, we have:
Then
Hence, the total area is equal to 417.62 square inches.
Step-by-step explanation:
Subtract 2690 from 3780
3780
-2690
=1090