2) How many y pieces are in 6/12?

vova2212 [387]

5 x 5/2 = 25/2

answer
25/2 units

8 0

3 years ago

A central angle in a circle with a radius of 3 cm intercepts an arc with a length of 6 cm what is the measure of the central ang

Fiesta28 [93]

Answer:

$114.59\°$

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

In this problem we have

$r=3\ cm$

substitute

$C=2\pi (3)=6 \pi\ cm$

Remember that

$360\°$ subtends the arc length of the complete circle

so

by proportion

Find the measure of the central angle for an arc length of $6\ cm$

$\frac{360}{6\pi } \frac{degrees}{cm} =\frac{x}{6} \frac{degrees}{cm} \\ \\x=6*360/(6\pi )\\\\ x=114.59\°$

7 0

3 years ago

A stop sign is in the shape of a regular octagon. A regular octagon can be created using eight triangles of equal area. One tria

Alex_Xolod [135]

Answer: the answer is B.) 1080 sq in

Step-by-step explanation: edge 2021 i took the test

5 0

3 years ago

true or false If x represents a random variable with mean 114 and standard deviation 40, then the standard deviation of the samp

Goshia [24]

Answer:

$\mu = 114, \sigma = 40$

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard deviation for the sampling distribution would be:

$\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4$

So then the answer is TRUE

Step-by-step explanation:

Let X the random variable of interest and we know that the true mean and deviation for this case are given by:

$\mu = 114, \sigma = 40$

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard deviation for the sampling distribution would be:

$\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4$

So then the answer is TRUE

6 0

3 years ago

Write the following ratio in their simplest form (a)150minutes:1 1/2 hours (b) 150cm:1060mm

spayn [35]

Answer:

a) 5:3

b) 7.5:5.3

Step-by-step explanation:

150min : 90min (1 and a half hour)

10 : 6

5 : 3

150 × 10 mm : 1060 mm

1500 : 1060

750 : 530

7.5 : 5.3

7 0

2 years ago