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3 years ago

5

miriam has 62 feet of fencing to make a rectangular egetable garden. Which dimensions will give miriam the garden with greatest

area?

1 answer:

marin [14]3 years ago

4 0

Perimeter=62
l+w=62
area=w*l
=w*(62-l)will give maximum area

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Suppose we take two different random samples from the same population of test scores. The population mean and standard deviation

ANTONII [103]

Answer:

A.The confidence interval based on the sample of 64 data values will be more precise.

Step-by-step explanation:

Given that we take two different random samples from the same population of test scores.

The population mean and standard deviation are unknown.

The first sample has 25 data values. The second sample has 64 data values.

When sample sizes grow the confidence interval will be narrower this is due to the reason that margin of error depends on standard error which in turn is inversely proportional to square root of sample size.

So we find that A.The confidence interval based on the sample of 64 data values will be more precise.

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3 years ago

Identify the values of the variables. Give your answers in the simplest radical form.

Lena [83]

Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

$sin(60) = \frac{9}{k}$

Multiply both sides by k

$k*sin(60) = 9$

Divide both sides by sin(60)

$k = \frac{9}{sin(60)}$

$k = \frac{9}{\frac{\sqrt{3}}{2}}$

$k = 9*\frac{2}{\sqrt{3}}$

$k = \frac{18}{\sqrt{3}}$

Rationalize

$k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}}$

$k = \frac{18\sqrt{3}}{3}$

$k = 6\sqrt{3}$

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

$tan(60) = \frac{9}{f}$

Multiply both sides by f

$f*tan(60) = 9$

Divide both sides by tan(60)

$f = \frac{9}{tan(60)}$

$k = \frac{9}{\sqrt{3}}$

Rationalize

$k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}}$

$k = \frac{9\sqrt{3}}{3}$

$k = 3\sqrt{3}$

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3 years ago

What is the area of the regular octagon with side length of 10 m and an apothem of 12.1m?

mojhsa [17]

The answer is <span>C). 484 m2</span>

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4 years ago

Solve this equation for x. Round your answer to the nearest hundredth. 0.58=log x

FromTheMoon [43]

The logarithm and the exponential are inverse function:

$\log(e^x)=e^{\log(x)}=x$

So, we have

$0.58=\log(x)\iff e^{0.58}=e^{\log(x)}=x$

And so in particular we have

$x=e^{0.58}\approx 1.79$

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3 years ago

Each of 18 horses eat 2/3 of a bales of hay how many bales do 18 horses eat

frutty [35]

Simply put, 18 x 2/3 = 36/3 = 12

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3 years ago

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