Answer:
7.8 in
Step-by-step explanation:
Given:-
- The dimension of rectangular prism:
(3 x 4 x 6) inches
Find:-
What is the length of the diagonal from the point R to point S, to the nearest tenth of an inch?
Solution:-
- We will set up an origin with coordinates ( 0 , 0 , 0 ) at point R. Then the coordinates of point S would be ( 3 , 4 , 6 ).
- Then we will use the distance between two points formula in cartesian coordinate system:
Distance = ![\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_1%20-%20x_2%29%5E2%20%2B%20%28y_1%20-%20y_2%29%5E2%20%2B%20%28z_1%20-%20z_2%29%5E2%7D)
Where the coordinates of two points ( x1 , y1 , z1 ) & ( x2 , y2 , z2 ).
- Using R( 0 , 0 , 0 ) & S( 3 , 4 , 6 ), the distance |RS| would be:
![|RS| = \sqrt{(0 - 3)^2 + (0 - 4)^2 + (0 - 6)^2}\\\\|RS| = \sqrt{ 9 + 16 + 36}\\\\|RS| = \sqrt{61} = 7.81024](https://tex.z-dn.net/?f=%7CRS%7C%20%3D%20%5Csqrt%7B%280%20-%203%29%5E2%20%2B%20%280%20-%204%29%5E2%20%2B%20%280%20-%206%29%5E2%7D%5C%5C%5C%5C%7CRS%7C%20%3D%20%5Csqrt%7B%209%20%2B%2016%20%2B%2036%7D%5C%5C%5C%5C%7CRS%7C%20%3D%20%5Csqrt%7B61%7D%20%3D%207.81024)
- The distance |RS| to nearest 10th of an inch is = 7.8 in
Answer:
I exactly don't know the answer
Answer:
G
Step-by-step explanation:
"Any particular event either (a) will happen or (b) won't happen."
That statement above is a certainty, probability = 100% = 1
This means the probability that event E <u>will </u>happen plus the probability that even E <u>won't </u>happen must add up to 100% = 1
So we can always say --> prob(E) + prob (not E) = 1
The probability you will roll a 5 on a fair, six-sided die is 1/6.
So we use that to find the probability of not rolling the 5.
1/6 + prob(not E) = 1
prob(not E) = 1 - 1/6 <---- This is answer G
prob(not E) = 5/6
Hope this helps.
Answer:
26
Step-by-step explanation:
First substitute x for 9
Then your problem is m(9)=2(9)+8
Now it is m(9)=18+8
Then add 18 and 8 for 26
Answer:
26
Answer:
AM=26
Step-by-step explanation:
Since M is the midpoint of the number line, this means that each side is equal to each other. The midpoint evenly splits it up in half, and since each side is equal that means we can set up an equation making x+20 and 5x-4 the same value.
x+20 = 5x-4
Now you simply carry over, so that x is all by itself. I carried the -4 to the other side first. To carry it over you have to add 4 on both sides, leaving this:
x+24=5x
Then I carried the x to the other side by subtracting -x (or if it helps, imagine an invisible one next to the x so it would be -1x) on both sides.
This gives me: 24=4x
Now that all the x's are by themelves, we can divide 24 by 4 to get our x value:
6=x
Now all we need to do is plug that in for the length of AM:
6+20, which equals our final answer 26
I hope you found this helpful :)