A rope is 72 feet long. What is the length of the rope in yards

Mathematics

1 answer:

Lostsunrise [7]3 years ago

6 0

The answer would be 24 yards. This would be 24 because 3 feet equal one yard so 3/72 is 24 or 24•3.

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9 marbles your draw one what is the probability of drawing a red pen? You have 2 yellow 3 black and 4 reds

Pie

Answer:

4 / 9

Step-by-step explanation:

There are 4 reds out of 9 so the probability would be 4 out of 9 or 4 / 9.

7 0

3 years ago

Read 2 more answers

Six identical squares are cut from the corners and edges of an 80 cm by 50 cm cardboard rectangle. the remaining piece is folded

Anna11 [10]

Check the picture.

let the length of a side of each of the squares removed be x.

The box formed will have dimensions: 80-2x, 50-2x, x(the height)

So the volume can be expressed as a function of x as follows:

f(x)=(80-2x)(50-2x)x= $[4000-160x-100x+4 x^{2} ]x=(4 x^{2}-260x+4000)x$

so $f(x)=4 x^{3}-260x^{2}+4000x$

the solutions of f'(x)=0 gives the inflection points, so the candidates for maxima points,

$f'(x)=12x^{2}-520 x +4000=0$

solving the quadratic equation, either by a calculator, graphing software, or by other algebraic methods as the discriminant formula, we find the solutions

x=10 and x=33.333

plug in f(x) these values to see which greater:

$f(10)=(80-20)(50-20)10=60*30*10=18000$ cm cubed

$f(33.333)=(80-66.666)(50-66.666)33.333=$ which is negative because (50-66.666)<0

Answer: 18000 cm cubed