Step-by-step explanation:
since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be
side < 1 + 2 = 3
so,
side < 3
for a lower limit let's go through the cases
1 < 2 + side (is always true)
2 < 1 + side
1 < side (side must be larger than 1)
and again
side < 1 + 2 = 3
side < 3
so the full restriction for the third side is
1 < side < 3
Answer:
T = 4B + 10C
Step-by-step explanation:
Since there are 4 doughnuts in a bag then there are 4B doughnuts in B bags
Since there are 10 doughnuts in a carton then there are 10C doughnuts in C cartons, thus summing the two quantities gives
T = 4B + 10C
Answer:
-1
Step-by-step explanation:
First, we need to work out the left-hand side.
- find g(2) → g(2) = 2 - 1 which is 1
- next, find f(1) → f(1) = 1³ which is 1
Now, we can work out the right hand side.
- find f(-1) → f(-1) = -1³ which is -1
- then, find g(-1) → g(-1) = -1 - 1 = -2
Finally we can work out the full sum: 1 + -2 = -1.
Hope this helps!
Answer:
E. 300
Step-by-step explanation:
A rectangle split in half diagonally yields 2 right triangles.
((For this problem, you are probably supposed to use the pythagorean theorem to find the diagonal length, and then calculate perimeter (length of fence around triangular field). In other words:
(sqrt( (50m)^2 + (120m)^2 )) + 50m + 120m)
))
By definition, the hypotenuse (diagonal) is the longest side.
This means that it must be longer than 120m.
If you add the 2 sides (50m + 120m), you get 170m.
Since the third side has to be longer than 120m, the answer _must_ be over 290m (170m + 120m).
300m is the only answer that fits.
