All categories

3 years ago

What is the value of x?

Mathematics

2 answers:

nika2105 [10]3 years ago

8 0

AC is the hypotenuse of triangle ABC.

Because the length is 6√2 and angle A is 45 degrees, we know the length of both sides is 6.

This means AB is 6, which it the hypotenuse of triangle BCD.

Using cos(angle) = adjacent leg / hypotenuse we can find x:

cos(60) = X / 6

x = 6 * cos(60)

x = 3

exis [7]3 years ago

8 0

AC is the hypotenuse of triangle ABC.

Because the length is 6√2 and angle A is 45 degrees, we know the length of both sides is 6.

This means AB is 6, which it the hypotenuse of triangle BCD.

Using cos(angle) = adjacent leg / hypotenuse we can find x:

cos(60) = X / 6

x = 6 * cos(60)

x = 3

You might be interested in

Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of

Olin [163]

Answer:

$P(16.5$

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

$P(-1.768< Z< 1.768) = P(Z$

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 avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

$X \sim N(17.5,4)$

Where $\mu=17.5$ and $\sigma=4$

Since the distribution for X is normal then, the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu= 17.5, \frac{\sigma}{\sqrt{n}}= \frac{4}{\sqrt{50}}=0.566)$

We select a sample of n =50 people. And we want to find the following probability

$P(16.5$

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

$P(-1.768< Z< 1.768) = P(Z$

4 0

3 years ago

if you invest $4,000 in an account that earns 3% interest. How much will you have in the account in 10 years?

Dmitrij [34]

Answer:

18,000

Step-by-step explanation:

4 0

3 years ago

Given parallelogram ABCD, solve for x

kumpel [21]

Answer:

x=5

Step-by-step explanation:

Set your equation up as following:

6x-10=3x+5

move the 3x to the left side by substracting

3x-10=5

now add 10 to the right side

3x=15

Divide 15 by 3 to isolate x

x=15/3

x=5

8 0

3 years ago

Type the correct answer in the box. Round off your answer to the nearest integer.

Ugo [173]

Answer:

59°

Step-by-step explanation:

In triangle DAB, by Pythagoras theorem:

$DB= \sqrt {6^2 +5^2} =\sqrt{36+25}=\sqrt{61}$

Next, in triangle DCB, by Pythagoras theorem:

$DB= \sqrt {(\sqrt {61} )^2 - 4^2} =\sqrt{61-16}=\sqrt{45}$

Now, by sin rule.

$\frac{ \sin \: p}{ \sqrt{45} } = \frac{ \sin 90 \degree}{ \sqrt{61} } \\ \\ \frac{ \sin \: p}{ 6.70820393} = \frac{ 1}{ 7.81024968 } \\ \\ \sin \: p = \frac{ 6.70820393}{7.81024968} \\ \\ \sin \: p = 0.858897501 \\ \\p = 59.19301883 \degree \\ \\ p \approx 59 \degree$

3 0

3 years ago

How many cups did eddy order

IrinaK [193]

Answer:

Step-by-step explanation:

334÷38=8.79, rounded up to 9.

4 0

3 years ago

Read 2 more answers