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3 years ago

List all of the elements of set A if A = {x|x is an integer and -6 ≤ x <0}

1 answer:

4 0

This is an example of a set defined by describing the property of its elements: every element in the set must be an integer, greater than or equal to -6, and less than zero (ecluded).

So, all the numbers that satisfy this requests are -6,-5,-4,-3,-2,-1, and the answer is thus b.

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A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

AURORKA [14]

Answer:

For maximum area, all of the wire should be used to construct the square.

The minimum total area is obtained when length of the wire is 10m

Step-by-step explanation:

For maximum, we use the whole length

For minimum,

supposed the x length was used for the square,

the length of the side of the square = x/4m

Area = $\frac{x^{2} }{16}$

For the equilateral triangle, the length of the side = $\frac{23 - x}{3}$

Area = $\frac{\sqrt{3} }{4} a^{2} = \frac{\sqrt{3} }{4} (\frac{23 - x}{3} )^{2}$

Total Area = $\frac{x^{2} }{16}$ + $\frac{\sqrt{3} }{36} (23-x)^{2}$

$\frac{dA}{dx} = \frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x)\\$

$\frac{d^{2}A }{dx^{2} } = \frac{1}{8} + \frac{\sqrt{3} }{18} > 0$ , therefore it is minimum

$\frac{dA}{dx} = 0 \\\\$

$\frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x) = 0\\$

x = 10.00m

3 0

3 years ago

Read 2 more answers

Please help with this question!!

barxatty [35]

Answer:

-29/20

Step-by-step explanation:

The cosecant function is the inverse of the sine function. Both sine and cosecant are odd functions, meaning csc(-x) = -csc(x) = -1/sin(x).

csc(-θ) = -1/sin(θ) = -1/(20/29) = -29/20

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3 years ago

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EleoNora [17]

Answer:

The most logical answer is D

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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olganol [36]

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