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NeX [460]
4 years ago
13

Find the dimensions of the rectangular corral split into 2 pens of the same size producing the greatest possible enclosed area g

iven 300 feet of fencing. (Assume that the length is greater than or equal to the width.) ft length width ft Tutorial Additional Materials eBook Example Video
Mathematics
1 answer:
Serjik [45]4 years ago
3 0

Answer:Dimensions are of one corral is:

Length=50ft

Width= 37.5ft

Combined area=1875ft

Step-by-step explanation:

Let L= length

Let w = width

There are 3 pieces of fencing: 3L + 4w =300

W = (300 -3L)/ 4 ....equation 1

Combined area of the corrals is given by:

A= L × 2w...eq2

Put eq1 into eq2

A= L ×2(300-3L) /4

A= 1/2 (300 -3 L)^2

A= -(3/2)L^2 + 150

Using -b/2a to solve for L in the quadratic equation

-150/2(3/2) = (150×2)/(2×3)

L = 50ft

W= 300-3(50)/4

W=150/4=37.5ft

Combined are=50×37.5=1875ft

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100 POINTS
olga nikolaevna [1]

Answer:

5.2

Step-by-step explanation:

To find the height of the plant after 7 weeks, we need to find out the equation of the line of best fit and plug in 7 for x. We already have our y - intercept, which is 1,  and we have a point on the x axis for which the y coordinate is an integer, (5, 4). Since we already have the y - intercept of +1 we have y = mx + 1. Since this applies to (5,4) we can plug this in to our equation. This is then 4 = 5m + 1. Subtracting 1 from both sides, we get 3 = 5m. Dividing by 5, we receive m = 3/5. Since now we have our slope, we can plug in 7 and find out our answer. Plugging in 7 we receive, y = 3/5 * 7 + 1, which is equal to y = 4.2 + 1. This means that y = 5.2, so 5.2 is our answer.

6 0
4 years ago
Read 2 more answers
Two dice are rolled. What is the probability that the sum of numbers rolled is either 5 or 12?
Maksim231197 [3]

<u>ANSWER:  </u>

The probability that sum of numbers rolled is either 5 or 12 is \frac{5}{36}

<u>SOLUTION: </u>

Given, Two dice are rolled.  

We have to find what is the probability that the sum of numbers rolled is either 5 or 12

We know that, probability of an event = \frac{\text { favourable outcomes }}{\text { total outcomes }}

Now, total outcomes for two dices = 6 for 1st dice x 6 for 2nd dice = 6 x 6 = 36.

Now, favourable outcomes = sum is 5 + sum is 12

= 4[(1,4), (2,3), (3, 2), (4, 1)] + 1[(6,6)]

= 5 total favourable outcomes.

Now, probability = 5/36

Hence, the probability that sum is either 5 or 12 is 5/36.

5 0
3 years ago
There are two different maps of ohio. The scale on the first map is 1 cm to 10 km. The distance from cleveland to clncinnati is
Ivanshal [37]

1. To answer this question we must keep on mind that we already have the distance from Cleveland to Cincinnati.

2. They tell us that it is 40 centimeters on the first map.

3. If on the first map 1cm = 10km then:

40cm = 10km * 40 = 400km

4. Then the distance from Cleveland to Cincinnati is 400 kilometers.

5. On the second map 1cm = 50km

6. Then we want to know how many centimeters represents 400 kilometers on the second map. Therefore:

400/50= 8

 The answer is: 8 centimeters.

6 0
3 years ago
Help me with these questions
iVinArrow [24]

Answer:

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7 0
3 years ago
. If two polygons are similar how can you find the scale factor from one polygon to the other?
gayaneshka [121]

If two polygons are similar, then the ratio of a side-length of one of them
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for every pair of sides.  All you need to do is find one pair of corresponding
sides, then find the ratio of their lengths, and there's your scale factor.

3 0
3 years ago
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