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2 years ago

Find the length of the missing side of the trapezoid below.

Mathematics

1 answer:

Semmy [17]2 years ago

8 0

Answer:

2√10

Step-by-step explanation:

Draw a vertical line through the corner between the side of length 7 and the side of length 5. This line forms a right triangle with hypotenuse 7 and base (8 - 5), or 3.

The Pythagorean Theorem applies here.

(hypotenuse)² = (base)² + (vertical side)² and this becomes:

7² = 3² + (vertical side)²

Solving this for (vertical side)², we get (vertical side)² = 49 - 9 = 40.

Thus, (vertical side) = √40 = √4·√10 = 2√10 (answer)

You might be interested in

What is the radius for the circle given by the equation (x - 2)^2 + y^2 = 14?

Anarel [89]

Easily, take the square root of the number in the right side to find the radius

$\sqrt{14}$

is the answer

7 0

2 years ago

Bottling cola A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 3

erik [133]

Answer:

$P(X$

And we can find this probability using the normal standard table or excel:

$P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the amount of ml of a population, and for this case we know the distribution for X is given by:

$X \sim N(298,3)$

Where $\mu=298$ and $\sigma=3$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard table or excel:

$P(Z$

4 0

3 years ago

How would I do the steps to solve this?

allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

$R(p) = -10p^2+800p$

Taking derivative wrt p

$\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\$

Now putting R'(p) = 0

$-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40$

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

$R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000$

The maximum revenue is 16000 dollars (at p = 40)

3 0

2 years ago

7 divided by 798 for homework

Allushta [10]

<span>7 divided by 798 is

1/114 for fraction form

0.008871989860583 for decimal form</span>

4 0

3 years ago

How can data displays be used to compare two sets of data? Select all that apply. They quickly illustrate measures of center. Th

Virty [35]

Answer:

Step-by-step explanation:

A and C Step-by-step explanation:I would go for A and C options which best describes the use of data displays for the comparison of two data sets.Data Display is basically displaying of useful data which has been extracted from bundles of raw data or raw data points. That useful data can be used to compare two different datasets as well. So, in option A, It says that it quickly illustrate measures of centre. True, because it presents you quick display so that everyone seeing the data in form of charts or tables easily catch the information to be conveyed. And in option C, It says, they show trends in data that can be compared. Yes again true. Data displays show you trends of different things in one clear picture and it can be compared with other datasets through the use of data displays. Still stuck? Get 1-on-1 help from an expert tutor now.

6 0

1 year ago