Which term is the perfect square of 3x^4

Analyze the diagram below and complete the instructions that follow.

Phantasy [73]

Answer:

Option (B)

Step-by-step explanation:

From the figure attached,

ΔBCD and ΔACE are the similar triangles.

Therefore, by the property of similar triangles, corresponding sides of these similar triangles will be proportional.

$\frac{AC}{BC}= \frac{EC}{DC}$

$\frac{AB+BC}{BC}= \frac{ED+DC}{DC}$

$\frac{AB+6}{6}= \frac{24+8}{8}$

$\frac{AB+6}{6}= \frac{32}{8}$

$\frac{AB+6}{6}=4$

AB + 6 = 24

AB = 18

Option (B) will be the answer.

3 0

2 years ago

Someone please help! find x round to the nearest tenth! trigonometry!

TEA [102]

Answer:

Step-by-step explanation:

Look at the picture.

Use sine:

$sine=\dfrac{opposite}{hypotenuse}$

We have a measure of the angle and length of the opposite:

$\alpha=28^o,\ opposite=350\ ft$

$\sin28^o\approx0.4695$

Substitute:

$\dfrac{350}{x}=0.4695$

$\dfrac{350}{x}=\dfrac{4695}{10000}$ cross multiply

$4695x=3500000$ divide both sides by 4695

$x=\dfrac{3500000}{4695}\to x\approx745.5$

5 0

3 years ago

A research study investigated differences between male and female students. Based on the study results, we can assume the popula

garri49 [273]

Using the normal distribution and the central limit theorem, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

In this problem:

The mean is of $\mu = 3.5$ .

The standard deviation is of $\sigma = 0.5$ .

Sample of 100, hence $n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05$

The interval that contains 95.44% of the sample means for male students is between Z = -2 and Z = 2, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$