4 years ago

Help with number 17 plz!

Mathematics

1 answer:

love history [14]4 years ago

5 0

Answer:

740 meters of fence
22,000 square meters

Step-by-step explanation:

Two of the sides total 150 +220 = 370 meters. The other two sides are the same lengths, so the sum of lengths of the four sides is ...

2·370 m = 740 m . . . . . length of fence needed

The area of a parallelogram is the product of base and height.

A = bh = (220 m)(100 m) = 22,000 m^2 . . . . area the fence encloses

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If A ⊂ B, then A ∩ B = A ∪ B. always sometimes or never

Lisa [10]

Sometimes. Proof:

Assume $A\subset B$ .

Let $a\in A\cap B$ , so that $a\in A$ and $a\in B$ . Then of course $a\in A\cup B$ , so $A\cap B\subseteq A\cup B$ .

Now let $a\in A\cup B$ , so that $a\in A$ *or* $a\in B$ . Since $A\subset B$ , if $a\in A$ then $a\in B$ , so that $a\in A\cap B$ . But if $a\in B$ , then $a\not\in A$ , so it's not always the case that $a\in A\cap B$ , and therefore in general $A\cup B\not\subseteq A\cap B$ .