First we'll consider the floor size.
In a 10 by 12 room the longest pipe that will fit lying on the floor equals the hypotenuse of a 10 by 12 triangle:
hypotenuse² = 10² + 12²
hypotenuse² = 100 + 144
hypotenuse² = 244
hypotenuse =
<span>
<span>
<span>
15.62 feet
Now we have to consider the third dimension (height = 8 feet).
The two sides would be 15.62 and 8
</span></span></span>hypotenuse² =
15.62² + 8²
hypotenuse² =
244 + 64 = 308
hypotenuse = 17.55
So, the longest pipe that would fit in that room would be 17.55 feet long.
Answer:
In order to factor you have to use the distributive property, for the first example you would distribute the 3 to 2x and 1 meaning that you would multiply both 2x and 1 by 3. To distribute negatives you would just pretend that the negative is negative 1 and do the distributive property, for the problems like 4x+2, you would find the gcf or what the two have in common while multiplying and make that the distributor and put what times that equals what the problem is. 4 and 2 have 2 in common because 2x2 is 4 and 2 x 1 is 2. 2 would be outside of the () and then you would put the what times 2 is equal to your original problem so, 2(2+1) to check use the distributive property and you should get your original problem.
Step-by-step explanation:
Step-by-step explanation:
The probability that either Jack or Jill will be selected on the first draw is 2/30.
The probability that the other person will be selected on the second draw is 1/29.
The probability of both events is (2/30) (1/29), which simplifies to 1/435.
Answer:
12 edges
Step-by-step explanation:
A rectangular prism has 6 faces, 8 vertices (or corners) and 12 edges.