Answer:
The depth of the reflector is 0.84 feet
Step-by-step explanation:
<em>(See the figure below)</em>
The equation of a parabola centered at the origin with an axis of symmetry on y-axis is:
(1)
With p the distance from the origin to the focus using p=6, the equation (1) of the parabola becomes:
(2)
Note that the point B is on the parabola, so this point should satisfy the parabola equation (2) that allow us to use the value x=4.5 to find the y value associated to it, that it is the depth (h) of the reflector:
, solving for y
Answer:
a. 2401.06
b. 37.54%
c. 56.3%
Step-by-step explanation:
hopefully this is right
*note: I think you forgot to convert 4-2 back into yards.
a. Robbie's field of view to the North end includes parts not on the football field. so to find the area of the football field he can see, we need to find:
total area of what Robbie sees - area of non football field Robbie sees
what you shaded represents the total of what Robbie sees. it's a triangle. area of a triangle is 1/2(b)(h) where h is distance away and b is width of view.
total area = 1/2(170)(30.92) = 2628.56 yd
area of non football field (pipe to South end)
= 1/2(50)(9.1) = 227.5
so 2628.56 - 227.5 = 2401.06
b. area found in part a / total area of football field
2401.06 / (120*53.3) = .3754
.3754 * 100 = 37.54%
c. the chance of Robbie seeing the touchdown depends on how much of the (North) endzone he can see.
area of north endzone is
10 * 53.3 = 533.
area Robbie sees in endzone is
2628.56 - 2328.48 = 300.08
(found by total area Robbie sees - area of non endzone Robbie sees)
300.08 / 533 = 0.563
= 56.3%
In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b. SOOO, no there can be a lower number then both multiplied by each other.
Average of 0,444 in 45 battings can be wirtten as:
45 * 44,4% = 19,98
After rounding it up it'll give us 20 and that's exactly how many hits Karen got.
Given that the hypotenuse of the isosceles right triangle
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
