The distance traveled by the ray will be 26 inches. Then the correct option is B.
<h3>What is coordinate geometry?</h3>
Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected.
If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively.
Then the distance traveled by the ray will be
We know the formula
D² = L² + W² + H²
We have
L = 24 in
W = 6 in
H = 8 in
Then the distance will be
D² = 24² + 6² + 8²
D² = 576 + 36 + 64
D² = 676
D = 26 in
Thus, the correct option is B.
More about the coordinate geometry link is given below.
brainly.com/question/1601567
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Answer:
9.11*10^-4 %
Step-by-step explanation:
To find the probability, you simply need to find the possible outcomes that allows no rooks to be in danger, and the possible amount of ways to place the rooks.
For the first outcome, you start by putting 1 rook in the first columns, you have 8 possible rows to do this. The next rook in the next column will only have 7 possible rows, as you have to exclude the one where the previous rook is located. The next rook, 6 possibilities, the next 5, and so on. So we conclude that the total amount of ways so that none of the rooks can capture any of the other rooks is 8*7*6*5*4*3*2*1 = 8! = 40320
In order to find the total amount of ways to place the rooks, you can just use a combinatoric:
![\left[\begin{array}{ccc}64\\8\end{array}\right]= \frac{64!}{8!(64-8)!} = 4.43*10^9](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D64%5C%5C8%5Cend%7Barray%7D%5Cright%5D%3D%20%5Cfrac%7B64%21%7D%7B8%21%2864-8%29%21%7D%20%3D%204.43%2A10%5E9)
Then:
P = 
Answer:
90.75 cm^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 ( b1+b2) *h
where b1 and b2 are the lengths of the bases and h is the height
A = 1/2(8.5+ 15.7) * 7.5
1/2 (24.2) 7.5
90.75 cm^2
