0.3 × 0.7 = 0.21

Mathematics

1 answer:

scZoUnD [109]3 years ago

3 0

Answer:

They are all right. They all equal what the sum is.

Step-by-step explanation:

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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

Writing numbers in Expanded Form

Savatey [412]

Break the number apart into hundreds, tens, ones, etc. and add the quantities together. Here is an example:

<em>To write 256 in expanded form, break it apart. There is 200, 50, and 6 in 250. Now, add them together. 200 + 50 + 6 = 256</em>

6 0

4 years ago

Read 2 more answers

HELP PLEASE WITH THIS PROBLEM!!

rewona [7]

Add 2 to the interval.
.. [-8, 7]
Consider the range of absolute values of numbers in this interval.
.. [0, 8]
Multiply by -5.
.. [-40, 0]
Add -7.
.. [-47, -7]
This corresponds to selection ...
.. C. [-47, -7]

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For confirmation, here's a graph.