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3 years ago

What is the measure of angle x?

Mathematics

2 answers:

cestrela7 [59]3 years ago

6 0

Since there is a 90 degree angle the whole problem is equal on both side meaning angle x is 48. 90-42=48

tiny-mole [99]3 years ago

5 0

The answer would be 42 because its the same angle as the other one
I hope I helped! ♥

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I need help on my home work

4vir4ik [10]

Answer:

24/9

Step-by-step explanation:

one face is 4/9 is that's what 2/3² is

then multiply that by the number of faces a cube has (6)

and you get 24/9

6 0

3 years ago

The RideEm Bicycles factory can produce 100 bicycles in a day at a total cost of $10,500. It can produce 120 bicycles in a day a

Luden [163]

Answer:

The company's daily fixed cost=$8000

The marginal cost per cycle=Slope=$ 25

Step-by-step explanation:

We are given that

Factory produces bicycle in a day= $x_1=$ 100

Total cost, $y_1=$ $10,500

Factory produces bicycles in a day, $x_2$ =120

Total cost= $y_2=$ $11,000

There are two points (100,10500) and (120,11000)

Slope = $m=\frac{y_2-y_1}{x_2-x_1}$

Using the formula

$m=\frac{11000-10500}{120-100}=\frac{500}{20}=25$

Slope-intercept form

$y=mx+c$

Where m=Slope of line

c=y-intercept

Substitute the values

$10500=25(100)+c$

$10500=2500+c$

$c=10500-2500=8000$

y-intercept=8000

Substitute the values in the equation

$y=25x+8000$

Therefore, company's daily fixed cost=$8000

The marginal cost per cycle=Slope=$ 25

6 0

3 years ago

Which comparison is correct?

Iteru [2.4K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

You have drawn a simple random sample of 36 college students, asking each student how much rent they pay per month. You obtain a

Karo-lina-s [1.5K]

Answer:

$573-1.690\frac{22}{\sqrt{36}}=566.8033$

$573+1.690\frac{22}{\sqrt{36}}=579.1967$

And the 90% confidence interval would be between [566.80 and 579.20]

Step-by-step explanation:

Information given

$\bar X=573$ represent the sample mean

$\mu$ population mean (variable of interest)

s=22 represent the sample standard deviation

n=36 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=36-1=35$

The Confidence level is 0.90 or 90%, the significance would be $\alpha=0.1$ and $\alpha/2 =0.05$ , and the critical value for this case would be $t_{\alpha/2}=1.690$

And replacing we got:

$573-1.690\frac{22}{\sqrt{36}}=566.8033$

$573+1.690\frac{22}{\sqrt{36}}=579.1967$

And the 90% confidence interval would be between [566.8033 and 579.1967]

6 0

3 years ago

Jasmine is riding on a carousal. She is sitting 9.5 feet from the center and it takes 20 seconds to

rusak2 [61]

Answer:

<em>2.983 </em>ft/sec

Step-by-step explanation:

Given that

Distance between center and Jasmine riding on a carousal = 9.5 feet

Time taken to complete one rotation = 20 seconds

To find:

Jasmine's linear speed = ?

Solution:

Number of revolutions per minute = $\frac{60}{20} = 3$

Formula for linear speed is given as:

$v=\dfrac{2\pi}{60}\cdot r\cdot RPM$

Where $r$ is the radius of circular path and

$RPM$ is the number of revolutions per minute.

$v=\dfrac{2\pi}{60}\times 9.5 \times 3\\\Rightarrow v=\dfrac{\pi}{10}\times9.5 \\\Rightarrow v = \bold{2.983\ ft/sec}$

Therefore, the linear speed is <em>2.983 ft/sec.</em>

5 0

3 years ago