Find the length of side x in simplest radical form with a rational denominator.

The length of sides x in the simplest radical form is 2√2

Properties of a right angled triangle:

• One of the angle is equals to 90 degree.
• The sides can be found using Pythagoras theorem
• Trigonometric ratios can be used to find the angles.

Let's find x using trigonometric ratios

sin ∅ = opposite / hypotenuse

Therefore,

sin 30° = √2 / x

x sin 30° = √2

x = √2 / sin 30°

x =

x = × 2

x = 2√2

Related Questions

Michelle bought five packs of crayons for $13.75.What is the cost of a pack of crayons, in dollars, if all the packs cost the same? Help please :/ Answers Answer:$68.75

Step-by-step explanation:

\$13.75 times 5 crayon boxes

A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies. Group members took a random sample of 18 toothbrushes from Company A and 15 from Company B. Each was charged overnight and the number of hours of use before needing to be recharged was recorded. Company A toothbrushes operated for an average of 119.7 hours with a standard deviation of 1.74 hours; Company B toothbrushes operated for an average of 120.6 hours with a standard deviation of 1.72 hours.1. which of the following statements is true?A. This is a one tailed test of two dependent samplesB. This is a two tailed test of two independent samplesC. This is a one tailed test of two independent samplesD. These samples are matchedE. None of the above

Step-by-step explanation:

The investigation about the operating time of cordless toothbrushes is  in first place associated to two tails experiment since investigation call for evalution of values under and above any given value (mean value). On the other side investigation of two different manufactures implies totally independent samples, unless these two companies have a commercial relationship which is not express in the problem ststement. Therefore the answer is lyrics B

The following represent matrices and the dimension of each is also stated below. A is a matrix of size 4X2 B is a matrix of size 3X5 C is a matrix of size 7X2 D is a matrix of size 5X4 E is a matrix of size 5X3

The questions does not look complete, we can complete the question thus

The following represent matrices and the dimension of each is also stated below. A is a matrix of size 4X2 B is a matrix of size 3X5 C is a matrix of size 7X2 D is a matrix of size 5X4 E is a matrix of size 5X3.

Which of the following matrices products are defined?

EB is defined

BE is defined

BD is defined

and DA is defined

Step-by-step explanation:

To know that the product of two matrices are defined, the column of the first matrix must be the same as the row of the second matrix.

For example; for EB we have 5 columns for E and 5 rows for B. After this product is done it produces a matrix with dimension 3 x 3, which means 3 by 3 (3 rows by 3 columns)

Part A: Factor x2b2 − xb2 − 6b2. Show your work. Part B: Factor x2 + 4x + 4. Show your work.

Part C: Factor x2 − 4. Show your work

A.2b2(x2-x-3)

B.x2+2x+2x+4

=x(x+2)+2(x+2)

=(x+2)(x+2)

C.x2-2^2

=(x+2)(x+2)

Fourth term of sequence is 216, sixth term 96

312 I think, hop[e this helps

A survey in Men’s Health magazine reported that 39% of cardiologists said that they took vitamin E supplements. To see if this is still true, a researcher randomly selected 100 cardiologists and found that 36 said that they took vitamin E supplements. At α = 0.05, test the claim that 39% of the cardiologists took vitamin E supplements. A recent study said that taking too much vitamin e might be harmful how might this study make the results of the previous study invalid?

The p value for this case would be:

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39

Step-by-step explanation:

Information given

n=100 represent the random sample taken

X=36 represent the number of people that take E supplement

estimated proportion of people who take R supplement

is the value that we want to test

represent the significance level

z would represent the statistic

represent the p value

Hypothesis to test

We want to test if the true proportion is equatl to 0.39 or not, the system of hypothesis are.:

Null hypothesis:

Alternative hypothesis:

The statistic is given by:

(1)

Replacing the info we got:

The p value for this case would be:

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39