That one of its angles is 90 degrees
Answer:
1. The value of 5 is fifty thousand
2. The value of 6 is six thousand
Step-by-step explanation:
1. 8.156 million - 8,156,000
2. 6,521
^ 6000
Answer:
15x^2 - 12x^3
Step-by-step explanation:
A rectangular block has 3 parts that play into its volume. length, width and height. The question gives us length and width in the form of x and 3x, so height is what's missing.
It gives us a bit more information saying the sum of its edges is 20. We also have to ask how many lengths, widths and heights are there. That may be a bit hard to understand, but is you are looking at a block I could ask how many edges are vertical, just going up and down. These would be the heights. There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.
Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:
4*x + 4*3x + 4*height = 20
4x + 12x + 4h = 20
16x + 4h = 20
4h = 20 - 16x
h = 5 - 4x
Now we have h in terms of x, which lets us easily find the volume just knowing x. To find the volume of a rectangular block you just multiply the length, width and height.
x*3x*(5-4x)
3x^2(5-4x)
15x^2 - 12x^3
Question doesn't give a specific value for x at all so you should be done there. Any number you plug in for x should get you the right answer
Answer:
Yes, Holmes is correct.
Step-by-step explanation:
Let's separate each statement of Holmes: (they are all true)
- If Mrs. Smith is lying then Moriarty has not escaped.
- Either Moriarty is dead or he is really Jones.
- If Moriarty is really Jones then he has escaped.
- I am convinced Mrs. Smith is lying.
If we start with the last one, we know that Mrs. Smith is lying. That takes us to the first one, Mrs. Smith IS lying, so Moriarty has not escaped.
If we look the second one, either Moriarty is dead or he is really Jones.
If he is really Jones, that takes us to the third statement that says that Moriarty has escaped. But we know from the first statement that he hasn't escaped, so he can't be Jones.
So, going back to the second statement, Moriarty is dead.
Answer:
108 degrees difference.
Step-by-step explanation:
63+45=108