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andriy [413]
3 years ago
8

A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides

. Given 200 ft of wire fencing, determine the dimensions that would create a garden of maximum area. What is the maximum area?
Mathematics
1 answer:
LiRa [457]3 years ago
6 0

Answer:

600

Step-by-step explanation:

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A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, i
attashe74 [19]

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

<h3>What time does the ball take to reach maximum height?</h3>

The height of the ball as a function of time is modelled by a <em>quadratic</em> equation, the required information can be found by transforming the expression into <em>vertex</em> form:

h = - 4.9 · t² + 20 · t + 12

h = - 4.9 · (t² - 4.082 · t - 2.449)

h + (- 4.9) · (6.615) = - 4.9 · (t² - 4.082 · t + 4.166)

h - 32.414 = - 4.9 · (t - 2.041)²

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

To learn more on quadratic equations: brainly.com/question/1863222

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5 0
2 years ago
Find three consecutive interferes whose sum is 96
Ronch [10]

Answer:

31, 32, 33

Step-by-step explanation:

x + x + 1 +x + 2 = 96

3x + 3 = 96

      -3    -3

3x = 93

/3     /3

x = 31

31 is the first number, so since they’re consecutive, the second two numbers are 32 and 33.

6 0
3 years ago
What is a distinct factor in math?
Mrac [35]
Distinct prime factors are factors that can not be reduced any further.... Such factors are like 3,5, and 7.
7 0
3 years ago
Which are correct representations of the inequality –3(2x – 5) &lt; 5(2 – x)? Select two options.
avanturin [10]

The correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

The given inequality is -3(2x - 5) < 5(2 - x)

We need to simplify the inequality.

<h3>What is inequality?</h3>

In mathematics, inequality is a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Consider LHS and simplify -3(2x - 5) = -3(2x)-5(-3)

⇒ -3(2x - 5) = - 6x + 15 [∵(-)(-) = (+)]

Consider RHS and simplify 5(2 - x) = 5(2) + 5(-x)

⇒5(2 - x) = 10 - 5x [∵(+)(-) = (-)]

Now, - 6x + 15 < 10 - 5x

By subtracting 15 from both sides, we get

- 6x < -5 - 5x

By adding 5x to both sides, we get - x < - 5

The coefficient of x is -1. So, divide both sides by -1

Then we get x > 5

Hence, the correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

To learn more about inequalities visit:

brainly.com/question/20383699.

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5 0
2 years ago
Find the mean for the group of data items. Round to the nearest hundredth, if necessary.
Ilya [14]

Answer:

The mean is 60.17 if round to the nearest hundredth.

Step-by-step explanation:

Add all the numbers together to get 361, then divide by 6 because that is how many numbers were added together.

7 0
3 years ago
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