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3 years ago

5

What is the value of x? Enter your answer in the box.

1 answer:

mariarad [96]3 years ago

4 0

In a 45-45-90 triangle, the hypotenuse = sqrt of 2 times a leg.
Therefore the legs of the 45-45-90 triangle are 6.
That is also the hypotenuse of the 30-60-90 triangle.
In a 30-60-90 triangle, the short leg is one half of the hypotenuse.
Therefore x = 3

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perimetrul unui paralelogram este de 30 cm.una dintre laturi are lungimea de 6 metri . dterminati lungimile celolrarte laturi

zzz [600]

To solve this problem you must apply the proccedure shown below:

1. By definition, the opposite sides of a parallelogram are parallel and have equal length.

2. The figure attached shows that the opposite sides with equal length are:

$a=c\\b=d$

3. Keeping this on mind, you have that the side <em>c</em> and <em>a</em> are equal and measure six centimeters.

4. To find the length of the other sides, you must apply the following formula for calculate the perimeter of a parallelogram:

$P=2(a+b)$

4. If you solve for <em>b</em>, you will obtain the measure of <em>b </em>and<em> d:</em>

$30cm=2(6cm+b)\\30cm=12cm+2b\\b=9cm$

Therefore the answer is:

The lengths of the sides are: 6 cm, 6 cm, 9 cm and 9 cm.

8 0

3 years ago

Draw a graph of the rose curve. r=-3 sin 50, 0 greater than or equal to θ less than or equal to 2pi

svetoff [14.1K]

Hello,
Please, see the attached graph.
Thanks.

6 0

3 years ago

Using the tree diagram below, what is the probability of getting tails and an even number?

N76 [4]

Answer:

1/4

Step-by-step explanation:

Chances of getting tails out of all the numbers (including heads)

Totals numbers (including heads & tails): 12

Tails & Even Number: 3

3/12 simplified to 1/4

5 0

2 years ago

A cheese processing company wants to estimate the mean cholesterol content of all one-ounce servings of a type of cheese. The es

Mrrafil [7]

Answer:

The minimum sample size required to construct a 95% confidence interval for the population mean is 65.

Step-by-step explanation:

We are given the following in the question:

Population standard deviation,

$\sigma = 3.10\text{ milligrams}$

We need to construct a 95% confidence interval such that the estimate is within 0.75 milligrams of the population mean.

Thus, the margin of error must me 0.75

Formula for margin of error:

$z_{critical}\times \dfrac{\sigma}{\sqrt{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get,

$0.75 = 1.86\times \dfrac{3.10}{\sqrt{n}}\\\\\sqrt{n} = \dfrac{1.96\times 3.10}{0.75}\\\\\sqrt{n} = 8.101\\\Rightarrow n = 65.63\approx 65$

Thus, the minimum sample size required to construct a 95% confidence interval for the population mean is 65.

5 0

3 years ago

Please answer this correctly

Stels [109]

Answer:

1/64

Step-by-step explanation:

The probability of landing on a 7 is 1/8.

The probability of landing on a 2 is 1/8.

$1/8 \times 1/8$

$= 1/64$

7 0

3 years ago

Read 2 more answers