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Sati [7]
3 years ago
12

a corner of a fenced yard forms a right angle. Can you place a 12 foot long board across the corner to form a right triangle for

which the leg legnths are whole numbers
Mathematics
1 answer:
Paha777 [63]3 years ago
7 0
Depending if the two legs are triples, that being the 2 legs squared, then the square root of that. so A^2+B^2=C^2 and c being the length going across
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Sarah stands at the corner of a rectangular field. If the field measures 180 m by 210 m, how far would Sarah need to walk to
Agata [3.3K]

Answer:

30√85 or 276.5863 meters

Step-by-step explanation:

Use pythag theorom. a^2+b^2=c^2

180^2+210^2=c^2

c=276.5863

4 0
3 years ago
4(4)<br> 4(5)<br> 4(6)<br> 4(7)<br> 4(8)<br> 4(9)<br> 4(10)
lakkis [162]

Answer:

16,20,24,28,32,36,40

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which of the following expressions is correct? Select one: a. marginal cost = (change in quantity of output)/(change in total co
Natasha_Volkova [10]

Answer:

b. average total cost = total cost/quantity of output

Step-by-step explanation:

The marginal cost is the additional cost of producing one more unit of output and it can be calculated by taking the change in total cost and dividing it by the change in quantity, its formula is:

  • <em>Marginal cost = change in total cost/ change in quantity</em>

The average total cost (sometimes referred to simply as average cost) is total cost divided by the quantity of output, its formula is:

  • <u><em>Average total cost = total cost / quantity of output</em></u>

The total cost is obtained adding together the fixed costs and the variable costs, its formula is:

  • <em>Total cost = fixed cost + variable cost</em>

The average variable cost is obtained when variable cost is divided by quantity of output, its formula is:

  • <em>Average variable = variable cost / quantity of output</em>

I hope you find this information useful and interesting! Good luck!

3 0
3 years ago
Consider a uniform distribution from aequals4 to bequals29. ​(a) Find the probability that x lies between 7 and 27. ​(b) Find th
weeeeeb [17]

Answer:

a) 80% probability that x lies between 7 and 27.

b) 28% probability that x lies between 6 and 13.

c) 44% probability that x lies between 9 and 20.

d) 28% probability that x lies between 11 and 18.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value x between c and d, in which d is larger than c, is given by the following formula.

P(c \leq x \leq d) = \frac{d - c}{b - a}

Uniform distribution from a = 4 to b = 29

(a) Find the probability that x lies between 7 and 27.

So c = 7, d = 27

P(7 \leq x \leq 27) = \frac{27 - 7}{29 - 4} = 0.8

80% probability that x lies between 7 and 27.

​(b) Find the probability that x lies between 6 and 13. ​

So c = 6, d = 13

P(6 \leq x \leq 13) = \frac{13 - 6}{29 - 4} = 0.28

28% probability that x lies between 6 and 13.

(c) Find the probability that x lies between 9 and 20.

​So c = 9, d = 20

P(9 \leq x \leq 20) = \frac{20 - 9}{29 - 4} = 0.44

44% probability that x lies between 9 and 20.

(d) Find the probability that x lies between 11 and 18.

So c = 11, d = 18

P(11 \leq x \leq 18) = \frac{18 - 11}{29 - 4} = 0.28

28% probability that x lies between 11 and 18.

3 0
3 years ago
The profit in dollars generated by producing and selling n bicycles per week is given by the formula P(n)=−5n2+400n−6000. What i
Julli [10]
Answer:

The minimum number of bicycles that must be produced and sold to break even = 20

Explanation:

The profit generated by producing and selling n bicycles per week is given by the formula:

P(n)=-5n^2+400n-6000

To get the minimum number of bicycles that must be produced and sold to break even, let P(n) = 0 (Since break even means no profit is made)

\begin{gathered} 0=-5n^2+400n-6000 \\ 5n^2-400n+6000=0 \end{gathered}

Solve the resulting quadratic equation above

\begin{gathered} 5n^2-300n-100n+6000=0 \\ 5n(n-60)-100(n-60)=0 \\ (5n-100)(n-60)=0 \\ 5n-100=0 \\ 5n=100 \\ n=\frac{100}{5} \\ n=20 \\ n-60=0 \\ n=60 \end{gathered}

This means that, to break even, either 60 or 20 bicycles must be produced and sold

The minimum number of bicycles that must be produced and sold to break even = 20

4 0
1 year ago
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