A trapezoid has an altitude of 12 cm. Its parallel sides measure 10 and 8 cm, respectively. What is its area?
2 answers:
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In every case, you're finding the surface area of a rectangular prism. That area is the sum of the areas of the 6 rectangular faces. Since opposite faces have the same area, the formula can be written
... S = 2(LW +WH +HL)
The number of multiplications can be reduced if you rearrange the formula to
... S = 2(LW +H(L +W))
where L, W, and H are the length, width, and height of the prism. (It does not matter which dimension gets what name, as long as you use the same number for the same variable in the formula.)
When you're evaluating this formula over and over for diffferent sets of numbers, it is convenient to let a calculator or spreadsheet program do it for you.
1. S = 2((5 cm)(5 cm) +(5 cm)(5 cm +5 cm)) = 2(25 cm² +(5 cm)(10 cm))
... = 2(25 cm² + 50 cm²) = 150 cm²
2. S = 2(12·6 + 2(12+6)) mm² = 2(72 +36) mm² = 216 mm²
3. S = 2(11·6 + 4(11 +6)) ft² = 2·134 ft² = 264 ft²
4. S = 2(10·4 +3(10 +4)) in² = 164 in²
Answer:
outcomes for this sample space (under some considerations)
Step-by-step explanation:
Let's define the multiplication principle.
If a first part of an experiment can happen in n1 ways, a second part of an experiment can happen in n2 ways , . . . , a i - part of an experiment can happen in ni ways, then the total outcomes for the all the experiment are
(n1) x (n2) x ... x (ni)
In this exercise n1 = domestic
n1 is the total classes for domestic category
(Let's suppose n1 = 3 because of Chevrolet, Ford and Chrysler)
n2 = 1 (Also supposing we only have ''a Toyota built in Japan'' category for n2)
n3 = 1 (Also supposing we only have ''A Toyota built in Kentucky'' category for n3)
n4 = 4 (Also supposing we only have ''sedan,hatchback, truck or SUV'' category for n4
The possible outcomes for one person in the experiment are
Where what it is brackets are the possible categories for that classification.
We have 20 different people then are the possible outcomes sample space
In the sample space there are outcomes if we consider that we have 3 types of domestic car, 1 type of foreign car built abroad,1 type of foreign car built in the U.S and 4 differents styles for this 20 different people.