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3 years ago

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A rancher has 300 feet of fencing to enclose a pasture bordered on one side by a river. the river side of the pasture needs no f

ence. find the dimensions of the pasture that will produce a pasture with a maximum area.

1 answer:

Mashcka [7]3 years ago

8 0

I think your best answer is a pasture that is 75 feet by 150 feet, which will give you 11,250 sq ft of pasture

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Can anybody help me please

GREYUIT [131]

Question 7: Option 1: x = 33.5°

Question 8: Option 3: x = 14.0°

Step-by-step explanation:

<u>Question 7:</u>

In the given figure, the value of perpendicular and hypotenuse is given, so we have to use any trigonometric ratio to find the value of angle as the given triangle is a right-angled triangle

So,

Perpendicular = P = 32

Hypotenuse = H = 58

So,

$sin\ x = \frac{P}{H}\\sin\ x = \frac{32}{58}\\sin\ x = 0.5517\\x = sin^{-1} ( 0.5517)\\x =33.48$

Rounding off to nearest tenth

x = 33.5°

<u>Question 8:</u>

In the given figure, the value of Base and Perpendicular is given, we will use tangent trigonometric ratio to find the value of x

So,

Perpendicular = P = 5

Base = B = 20

So,

$tan\ x = \frac{P}{B}\\tan\ x = \frac{5}{20}\\tan\ x = 0.25\\x = tan^{-1} (0.25)\\x = 14.036$

Rounding off to nearest tenth

x = 14.0°

Keywords: Right-angled triangle, trigonometric ratios

Learn more about trigonometric ratios at:

#LearnwithBrainly

8 0

3 years ago

Simplify 3(x+2)-5x<br><br>1. 6-2x<br>2. 8x+2<br>3.-2x+2<br>4.2x+6

gulaghasi [49]

Answer:

-2x + 6

Step-by-step explanation:

Step 1: Write expression

3(x + 2) - 5x

Step 2: Distribute

3x + 6 - 5x

Step 3: Combine like terms

-2x + 6

7 0

2 years ago

Read 2 more answers

Help me plzzzzzzzzz :))))

riadik2000 [5.3K]

Marty read 4 times as many pages as Nelson and Jennifer COMBINED. Marty read 1,860 pages.

In total, after dividing Marty's total by 4, Jennifer and Nelson both read a total of 465 pages.

After subtracting Nelson's 240, Jennifer is then found to have read 225 pages.

B would be the best viable option, as it clearly shows that 240+?x4=1,860, which it does.

Hope this helped. Khan Academy is a great resource for any learner. :)

4 0

2 years ago

Read 2 more answers

Inferential statistical tests are used for all of the following except: a. describing a sample with means and standard deviation

Anika [276]

Answer:

a. Describing a sample with mean and standard deviation.

Step-by-step explanation:

Statistics can be categorized into descriptive and inferential statistics.

descriptive statistics uses data for descriptions through numerical analysis. It can be further divided in four parts.

Measures of Central Tendency ( Mean, Median, and Mode)

Measures of Frequency (Count, Percent, Frequency)

Measures of Position (Percentile Ranks, Quartile Ranks.)

Measures of Dispersion ( Range, Standard Deviation)

Inferential statistics however is based on assumptions and conclusions and generalizations drawn from samples or checks.

options b to d are all examples of inferential statistics while option a is an example of descriptive statistics.

8 0

3 years ago

Simplify the algebraic expression: x(x + 3) + x(2x - 4) + 6

marusya05 [52]

Step-by-step explanation:

$x(x + 3) + x(2x - 4) + 6$

First, let's distribute the $x$ variable to each term in the first parenthesis:

$x^{2} + 3x + x(2x - 4) + 6$

Next, let's distribute the $x$ variable to each term in the second parenthesis:

$x^{2} + 3x + 2x^{2} - 4x + 6$

Next, let's group like terms together:

$(x^{2} + 2x^{2}) + (3x - 4x) + (6)$

Finally, let's add or subtract like terms to get the result:

$3x^{2} - x + 6$

6 0

3 years ago

Read 2 more answers