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Ganezh [65]
3 years ago
15

A piece of wire 27 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

ngle.
(a) How much wire should be used for the square in order to maximize the total area?
(b) How much wire should be used for the square in order to minimize the total area?
Mathematics
1 answer:
Anna71 [15]3 years ago
6 0

Answer:

a

Step-by-step explanation:

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There are 4 consecutive even integers that add up to 268. Which integers are they?
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Answer:

4n+ 12 = -268, or 4n = -280, or n = -70. This would imply that the four consecutive ODD integers are -70, -68, -66, -64.

Step-by-step explanation:

Hope this helps         :)

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Calculate the number of subsets and the number of proper subsets for the set.
arlik [135]

A set of n elements has 2ⁿ subsets. One of these subsets is the set itself, so this set would have 2ⁿ - 1 <em>proper</em> subsets.

The given set has 4 elements, so it has 2⁴ = 16 subsets and 2⁴ - 1 = 15 proper subsets.

Just to illustrate the claim, we have

• subsets of size 0 (1 of these):

{ } (empty set)

• subsets of size 1 (4 of these):

{1/6}, {1/7}, {1/8}, {1/9}

• subsets of size 2 (6 of these):

{1/6, 1/7}, {1/6, 1/8}, {1/6, 1/9}, {1/7, 1/8}, {1/7, 1/9}, {1/8, 1/9}

• subsets of size 3 (4 of these):

{1/6, 1/7, 1/8}, {1/6, 1/7, 1/9}, {1/6, 1/8, 1/9}, {1/7, 1/8, 1/9}

• subsets of size 4 (1 of these):

{1/6, 1/7, 1/8, 1/9}

and the last one is the only subset that is not a proper subset, because that subset = the set.

6 0
2 years ago
If g(x) =x^2 + 1, find g(4)
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Answer:

17

Step-by-step explanation:

Since we are evaluating <em>g(x)</em> for g(4), we would substitute <em>x</em> in the equation with 4.

<em>x</em>² + 1

(4)²+ 1

16 + 1

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I hope this helps

4 0
3 years ago
The total surface area of a cuboid is 600cm ^2 find LSA
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Answer:

Hope this help uh

Please make me brilliant

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