Answer:
D. 14.73
Step-by-step explanation:
According to Pythagoras,
19^2 = 12^2 + x^2
x^2 = 19^2 - 12^2
x^2 = 361 - 144
x^2 = 217
x =
x = 14.73
There are 8 items in the set {2, 3, 4, 5, M, V, T, R}
We have 8 choices for the first slot
After making that choice,we have 7 left over (since we can't repeat a digit)
Then after that we have 6 choices
Finally there are 5 choices for slot 4
Multiply out these values: 8*7*6*5 = 1680
Answer: 1680
Side Note:
You can use the nPr formula to get the same result.
You would use n = 8 and r = 4
The nPr formula is
nPr = (n!)/(n-r)!
Answer:
40 mins
Step-by-step explanation:
33/60 = 0.55
22/0.55 = 40
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