Answer: 56 square feet
Step-by-step explanation:
When a square is inscribed within a circle, the side length of the square is equal to the diameter of the circle, divided by the square root of 2, this is the same as a square being cut out of the circle.
This means that area of the square =
= 98 square feet
Area of the circle is
= 3.142 X 7 X 7
= 153.958
Area of the remaining portion will be Area of the circle - Area of the square , that is
153 . 958 - 98
= 55. 958
≈ 56 square feet
In the figure we have three right angles .The triangles similar to each other .Similar triangles have sides in proportion .The altitude rule is true for the triangles .
The theorem states :The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse.
Substituting the values from the triangles we ahve:
s is the right answer
Answer:
Step-by-step explanation:
The equation for this free fall problem is
where h(t) is the height of the pebble from the ground at any time t. If we are looking for the time it takes the pebble to hit the ground, knowing that at ground level the height is 0, we set the quadratic equal to 0 and solve for t:
and
and
so
t = -8, 8
Since time will never be negative,
t = 8 seconds