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dangina [55]
1 year ago
15

Lamonte has 50 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth

side of the enclosure would be the river.) The area of the land is 288 square meters. List each set of possible dimensions (length and width) of the field.
answer 1: meters
answer 2: meters

HELP PLS
Mathematics
1 answer:
MatroZZZ [7]1 year ago
6 0

The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Let x represent the length and y represent the width. Hence:

x + 2y = 50

x = 50 - 2y

Also:

xy = 288

(50 - 2y)y = 288

y = 9; and y = 16

x = 32; and x = 18

The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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write each equation in a slope-intercept form. 1. (6, 2) and (-3, -6) 2. (-4 and -6) and (3, -8) 3.(-2, -8) and (6, 4) 4.(-3, 9)
ANTONII [103]

Answer:

1. (6, 2) and (-3, -6) 2. (-4 and -6) and (3, -8) 3.(-2, -8) and (6, 4) 4.(-3, 9) and (0, 1)​ 5.(2, -2) and (8, 1) 6.(-12, 4) and (0, 2) 7.(-8, -4) and (4, -7) 8.(-4, 13) and (-2, 6)​

Step-by-step explanation:

5 0
3 years ago
Two boxes have the same volume. One box has a base that is 5\text{ cm}5 cm5, start text, space, c, m, end text by 5\text{ cm}5 c
sveticcg [70]

Answer:

4times tall

Step-by-step explanation:

Volume of the boxes = Base area × height

Volume of the first box V1 = A1h1

Given the base of the first box to be 5cm, the base area:

A1 = 5cm×5cm = 25cm²

Volume of the first box V1 = 25h1... 1

Similarly, volume of the second box

V2 = A2h2

Given the base of the second box to be 10cm, the base area:

A2= 10cm×10cm = 100cm²

Volume of the second box

V2 = 100h2... 2

If the two boxes have the same volume, then V1 = V2

25h1 = 100h2

divide both sides by 25

25h1/25 = 100h2/25

h1 = 4h2

Since the height of the smaller box is represented as h1, then the height of the smaller base is 4 times tall.

3 0
3 years ago
The Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal w
vampirchik [111]

Answer:

The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{0.000586}{\sqrt{59}} = 0.0002

The lower end of the interval is the sample mean subtracted by M. So it is 0.2905 - 0.0002 = 0.2903 mm

The upper end of the interval is the sample mean added to M. So it is 0.2905 + 0.0002 = 0.2907 mm

The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm

4 0
3 years ago
Please answer this correctly​
Vera_Pavlovna [14]

1. \: r ^{2}  - 1

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\huge\underline\mathtt\colorbox{cyan}{Hope it Helps㋡}

3 0
2 years ago
A garden table and a bench cost $872 combined. The garden table costs $78 less than the bench. What is the cost of the bench?
deff fn [24]
Bench = x
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Solve for x
2x-78 = 872
2x = 950
x = 475

So, the bench itself costs $475.
3 0
3 years ago
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