3 years ago

Which answer correctly describes the relationship between two of the lines in the figure?

Mathematics

1 answer:

earnstyle [38]3 years ago

6 0

A is perpendicular to c<span />

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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

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PLEASE HELP ASAP!!!! WILL MARK BRAINLIEST !!!

Veronika [31]

The answer is D. The last one

6 0

3 years ago

Keep getting the wrong answer. Please help!!!

givi [52]

C.

9987 × 1.04 = 10386.48
10386.48 - 1950 = 8436.48
8436.48 × .25 = 6327.36

5 0

3 years ago

If n2 = 1/16, then n could be which of the following?<br> -8<br> -1/4<br> 1/4

andreyandreev [35.5K]

$n^2=\dfrac{1}{16}\\\\n=-\dfrac{1}{4} \vee n=\dfrac{1}{4}$

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2 years ago

I need it fast please

Westkost [7]

Answer:

B. 3m-18n

Step-by-step explanation:

5m+3n-5m+3(m-7n)

=5m+3n-5m+3m-21n

=3m-18n

8 0

3 years ago

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