Answer:
(d) 80 square units
Step-by-step explanation:
As with many composite area problems, this can be worked any of several ways. The attached shows trapezoid ABCE, from which triangle CDE can be removed to get the desired area.
The relevant formulas are ...
A = (1/2)(b1 +b2)h . . . . . . area of a trapezoid
A= (1/2)bh . . . . . . . . . . . . area of a triangle
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Here, the trapezoid has bases 12 and 2, and height 12, so its area is ...
A = (1/2)(12 +2)(12) = 84 . . . . square units
The triangle has a base of 4 and a height of 2, so its area is ...
A = (1/2)(4)(2) = 4 . . . . square units
Then the area of the desired figure is ...
84 - 4 = 80 . . . . square units
Answer:
- 7 magnets
- 2 robot figurines
- 1 pack of freeze-dried ice cream
Step-by-step explanation:
The greatest common factor of 24, 48, and 168 is 24, so 24 gift bags can be made. Each will have 1/24 of the number of gift items of each type that are available.
In each bag are ...
- 1/24 × 168 magnets = 7 magnets
- 1/24 × 48 robot figurines = 2 robot figurines
- 1/24 × 24 packs of ice cream = 1 pack of ice cream
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One way to find the greatest common factor (GCF) is to consider whether the smallest number divides all the numbers. If so (as here), then that is the GCF. If not, then consider the smallest difference between any pair of numbers, to see if it divides all of the numbers. If not, then test the smallest positive remainder from any of those divisions. Repeat until you have found a common divisor (which may be 1).
Therefore, the length of the median from B is 5/2 cm.
What you have to do is rearrange the equation by subtracting what is on the right of the equal sign from both sides of the equation
so it would be 4*x-13*x-(27)=0
