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vladimir2022 [97]
2 years ago
10

Two similar triangular pastures meet at a

Mathematics
2 answers:
AnnZ [28]2 years ago
5 0
The answer is 600 for your question.
ratelena [41]2 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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The speed of light is estimated at 186,000 miles per second rounded to the nearest thousand miles per second.
4vir4ik [10]

It was rounding to the nearest THOUSAND.

We are looking at the thousands place, keep that in mind.

Remember: everything 5 and above is rounded up, everything below 5 is rounded down.

186,789 is above 500, it is rounded to 187,000

186,899 is above 500, it is rounded to 187,000

185,990 is above 500, it is rounded to 186,000

and 185,190 is below 500, it is rounded to 185,000

Only one matches the criteria of the question:

185,990 is above 500, it is rounded to 186,000

therefore the answer is 185,990 miles per second


Have a fantastic day!


7 0
3 years ago
What are the values of x and y?
scZoUnD [109]

Answer:

x is equal to 24 and y is equal to 66.

Step-by-step explanation:

In order to find the value of y, we first have to note that the unlabeled angle in the larger triangle, y and the 78 degree angle create a straight line. The unlabeled angle is equal to 36 since it and the other two angles equal 180. So we take that 36, 78 and y and can set that equal to 180.

36 + 78 + y = 180

114 + y = 180

y = 66

Now that we have that value, we can use y and the 90 degree angle to find x.

x + y + 90 = 180

x + 66 + 90 = 180

x + 156 = 180

x = 24

3 0
3 years ago
Is the inequality true or false?
Goryan [66]

Answer:

true -6 is greater than -7

Step-by-step explanation:

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SSSSS [86.1K]
You can use the sum and difference identities which for cosine is cos(a+b)= cosacosb-sinasinb
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Rewrite 5 ⋅ x + 5 ⋅ 8 using parentheses.
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Answer:

(5 ⋅ X) + (5 ⋅ 8) =

Step-by-step explanation:

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