Answer:
800 cm³
Step-by-step explanation:
The volume is the product of the base area and the "height" of the prism. Here, the base can be considered to be a 10 cm × 12 cm rectangle with a 4 cm × 5 cm cutout. Its area will be ...
A = (10 cm)(12 cm) -(4 cm)(5 cm) = 120 cm² -20 cm² = 100 cm²
The product of this base area and the 8 cm height of the prism is ...
V = Bh = (100 cm²)(8 cm) = 800 cm³
The volume of the prism is 800 cm³.
Answer:
- solution: (1/(1+m), m/(1+m))
- no solution for m = -1 (lines are parallel)
Step-by-step explanation:
Two distinct lines will always have a point of intersection, provided they are not parallel. That is, the system of equations {x +y = 1, y = mx} will have a unique solution as long as m ≠ -1.
The solution to the system can be found by substitution:
x +mx = 1
x(1 +m) = 1 . . . . factor out x
x = 1/(1+m) . . . . . divide by the coefficient of x; we must have m ≠ -1
y = m/(1+m) . . . . find the y-coordinate of the solution
The point of intersection is (1/(1+m), m/(1+m)).
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The above solution is undefined when the denominator is zero: m = -1. There is no solution for m = -1.
Answer:
128 adults
Step-by-step explanation:
$ 1232 ÷ $ 9.60
= 128
Hope this helps. I think it's right? haha haven't done this in a while.
Answer:
3/4
Step-by-step explanation: