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vladimir2022 [97]
3 years ago
10

Two similar triangular pastures meet at a

Mathematics
2 answers:
AnnZ [28]3 years ago
5 0
The answer is 600 for your question.
ratelena [41]3 years ago
3 0

Note that this is still a rectangle, and the length of the fencing is still 600 ft.

So the sum of the sides NOT along the river x + x + y = 600, and the area equals xy.

This makes the two equations: 2x + y = 600, and A = xy.

To find the largest area, we need to find A as a function of x or y. I suggest solving the first equation for y and replacing that in the second equation.

y = 600 - 2x. and A(x) = x(600-2x)

We now need to maximize A(x) = 600x - 2x2.

Remember, if x = -b/(2a), we find the x value of the vertex, the y value can be found by substitution.

So, since a = -2, and b = 600, x = -600/(-4) = 150 ft. If x = 150, y = 600 - 2(150) = 300.

So, the dimensions are 150 x 300 and the maximum area = 300(150) = 45,000 ft2

I hope this helps. By the way, there are many variations of this, and they are all similar. For example, you might want to make several pens with two lengths parallel and have three parallel withs inside.

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Which event has a probability other than 1/2?
Vadim26 [7]

Answer:

Option B.

Step-by-step explanation:

In the given events lets find out the event that has a probability other than 1/2.

A. Flipping a coin gives result of head or tail, so the probability of the result of tails is 1/2.

B. Choosing a vowel from a bag of tiles that contains one of each letter of the alphabet, so the probability of choosing vowel is 5/26.

C. A cube that has numbered from 1 to 6, there are 3 even numbers and 3 odd numbers, so the probability of rolling even number is 3/6 or 1/2.

D. There is 26 red cards in a standard deck of 52 cards, so the probability of choosing red card is 26/52 or 1/2.

Therefore, events A, C and D gives result of 1/2 and B other than 1/2

So Option B is the correct answer.

7 0
4 years ago
Read 2 more answers
1) Jo Anne needs to do a speech in her English class that can't be more than 4 minutes
djyliett [7]

Answer:

( 0 < y < 23 / 6 ) mins

Step-by-step explanation:

Solution:-

We will define a variable ( x ) as the time it took for Jo Anne to give her speech at home.

The time taken to give her speech must always be less than 4 minutes. We can express this mathematically using an inequality as follows:

                              ( 0 < x < 4 ) minutes

Jo Anne gave her speech which was 10 seconds less than the one she practised at home. We will convert the time in seconds to minutes as follows:

                             10 s * \frac{min}{60 s}  = \frac{1}{6} min

The time taken by Jo Anne to complete her speech in English class can be represented as:

                             y = x - 1/6

Using the range of time that Jo Anne could take in delivering her speech in the class would be:

                                    0 < x < 4

                            0 - 1/6 < y < 4 - 1/6

                            -1/6 < y < 23 / 6

Since time can not be less than zero. We correct the lower limit to " 0 " as follows:

                              ( 0 < y < 23 / 6 ) mins

   

7 0
4 years ago
If, over a few weeks, Abraham saw 80 mayflies, how many flying insects did he see?​
nydimaria [60]

Answer:

two

Step-by-step explanation:

Often, all the mayflies in a population mature at once (a hatch), and for a day or two in the spring or autumn, mayflies are everywhere, dancing around each other in large groups, or resting on every available surface.

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3 years ago
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jeka57 [31]

Answer:

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The % symbol is a shorthand way to write "/100", so 3.5% = 3.5/100.

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