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2 years ago

How large an equilateral triangle can you fit inside a 2-by-2 square?

Mathematics

1 answer:

nekit [7.7K]2 years ago

3 0

Answer:

An equilateral triangle with a length of 2

Step-by-step explanation:

A 2-by-2 square implies that the square has a length and width of 2. Since equilateral triangles have the same length for all sides, it tells you that if one side is a certain length, all the other sides must have the same length. The largest length we can fit into this square would be 2 because any larger, the sides of the triangles would not fit into the square. Under the assumption that the length needs to be a whole number, the answer would be 2.

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Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 23 ft by 13 ft. The resu

trapecia [35]

Answer:

Step-by-step explanation:

Given that rectangle has side length 23x13 feet.

When squares of side x are cut from all the four sides we have dimensions as

23-2x and 13-2x and height x

Volume $=x(23-2x)(13-2x)$

$=x(299-72x+4x^2)\\=299x-72x^2+4x^3$

Use derivative test

First derivative V'(x) $V'(x)= 299-144x+12x^2\\V"(x) = -144+24x$

Equate I derivative to 0

We get approximate value of x = 2.671, 9.329

Since width is 13 feet it cannot be 9.329

Hence x = 2.671

V"(x) = -80 <0

So maximum volume is

$299x-72x^2+4x^3\\=299(2.671)-72(2.671)^2 +4(2.671)^3\\\\=361.186$

5 0

3 years ago

Answer correct for brainliest and also get a thanks !

zaharov [31]

30%
am I correct? Fix my answer if I am not.

8 0

3 years ago

Read 2 more answers

A submarine is at a depth of 100 feet below sea level. Then it starts to dive at a rate of 50 feet per minute. What is the slope

aliya0001 [1]

Answer:

-50

Explanation:

I don't really know why, but I answered a guess and got it correct, so If you trust me and what I am saying you will get the correct answer. However, If you don't trust me I completely understand why, but hope you use my answer anyway. Hope this can help you. If it doesn't please forgive me and the website I used.

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3 years ago

Read 2 more answers

Stacey rolls a number cube and flips a coin. what is the probability that she rolls a 5 and the coin lands heads up?

Illusion [34]

Answer:

1/12

Step-by-step explanation:

1/6 for the number cube

and 1/2 for the coin landing on heads

1/6 times 1/2

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