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3 years ago

Find x. A. 4 B. 4√2 C. 2√2 D. 8

Mathematics

1 answer:

olchik [2.2K]3 years ago

7 0

Answer: D. 8

Explanation:

As shown, x is the hypotenuse and we have an angle 30 whose adjacent side is 4sqrt3. When given an angle and its adjacent side and are required to find the hypotenuse, we may use the cosine of the given angle. Since cosine is adjacent/hypotenuse, we may apply this.

1) cos30 = 4sqrt3/x
2) sqrt3/2 = 4sqrt3/x
3) x/2 = 4sqrt3/sqrt3
4) x/2 = 4
5) x = 8

Hope this helps, brainliest would be appreciated :)

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What are the first five terms of the sequence an= n +8?

vladimir2022 [97]

Answer:

9, 10, 11, 12, and 13

Step-by-step explanation:

The first term is determined when n=1, therefore a(1)=1+8=9

The second term is determined when n=2, therefore a(2)=2+8=10

The third term is determined when n=3, therefore a(3)=3+8=11

The fourth term is determined when n=4, therefore a(4)=4+8=12

The fifth term is determined when n=5, therefore a(5)=5+8=13

8 0

3 years ago

A movie theater conducted a survey of its customers. Twelve people were selected at random and asked how many times they had gon

Mila [183]

Here, you know that 12 people answered.

Therefore :

Take the "M" for mean :

$M= \frac{1+4+2+7+3+11+3+5+1+1+1+3}{12}$
$M= \frac{42}{12}$
$M = 3.5$

In short, you answer would be C. 3.5.

Hope this helps !

Photon

7 0

3 years ago

Can someone help me to solve this problem pls?! I didn’t really understand how I need to solve this question.

amid [387]

Step-by-step explanation:

so first you graph the triangle

count how many units one point is from the other point

and if it's hard to count the units (maybe bc the line is diagonal) use the distance formula or the Pythagorean theorem

8 0

3 years ago

Diameter=10.5 in . Determine the area of each circle. Use 3.14 or 22/7 for pie . Round to the nearest tenth.

zloy xaker [14]

Answer:

86.5 square inches

Step-by-step explanation:

Area of circle: pi*r^2

first find the radius

10.5in /2= 5.25in

find the square

5.25^2=27.5625

multiply with pi

27.5625*3.14=86.54625

rounded 86.5 in

5 0

3 years ago

In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th

marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}$

Where:

$\hat{p}$ is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

$z_{\alpha /2}$ is the critical value needed to find the tails of distribution related to the confidence level,

$n$ is the sample's size.

<u>First</u> we compute the $\hat{p}$ value:

$\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625$

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

$z_{\alpha /2}=2.576$

Now we can replace in the formula with the obtained values to compute the confidence interval:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)$

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3 years ago