Answer:
find the common denominator first then compare.....
Step-by-step explanation:
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:
135 degrees
Step-by-step explanation:
- Angle CBD is the sum of angle ABC and angle ABD, so we find these first
- An Isosceles triangle has 2 equal sides and 2 equal angles
- Isosceles triangle theorem tells us that the 2 equal angles are respectively opposite the equal sides
- Since triangle ABC has sides AB=AC, then angle ACB = angle ABC
- So knowing that angles of triangle add up to 180, then
- Now we do the next triangle to get ABD
- Since triangle ABD has sides AB=BD, then angle BDA = angle BAD
- So knowing that angles of triangle add up to 180, then
- Now we said, angle CBD is the sum of angle ABC and angle ABD, so
3.99-1 = 2.99 they lose 2.99 per burger
Multiply the number of people by the amount lost per burger:
2.99 x 86,047 = 257,280.53
They would lose: $257,280.53
The correct answer is 1/3
I hope this helps you!
