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leva [86]
3 years ago
12

What’s the volume of the following shape?

Mathematics
2 answers:
Alenkasestr [34]3 years ago
7 0

Answer:

180 units^3

Step-by-step explanation:

Formula for the volume of a right triangular prism: V=1/3Ah (A=Area of base triangle, h=height)

<u>BASE TRIANGLE</u>

A= 1/2bh (base•height)

A= 1/2•10•4

A= 40 units^2

<u>VOLUME OF PRISM</u>

V=1/3Ah

V= 1/3•40•18

V= 180 units cubed

Hope this helps! Let me know if I'm off by anything.

tankabanditka [31]3 years ago
3 0

Answer:

Step-by-step explanation:

It should be 360 Pls mark brainliest

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The university is on a bearing of 050 degrees from the stadium and 300 degrees from the hospital. Mark the position of the unive
Licemer1 [7]

Answer:

Check Explanation

Step-by-step explanation:

The map isn't available, but, one can draw this bearings with the descriptions given

Angles for bearings are usually drawn, reading from the north direction.

A sketch of the described bearings and locations of the stadium, university and the hospital is presented in the attached image to this question.

For the sketch on the map.

On The map, draw a four-cardinal points' cross at the stadium draw a line from the bearing 050° from the stadium's four cardinal points' cross. Leave the line as it is.

Then, draw another four cardinal points' cross at the hospital and draw a line from the bearing 300° from the hospital's four cardinal points' cross.

Wherever the line from the hospital meets the line from the stadium, is where the University is located.

Hope this Helps!!!!

6 0
3 years ago
Help me on 5.<br> Answer please
Ket [755]

Answer:

5/8

Step-by-step explanation:

1 - 3/8

1 + (-3/8)

5 0
3 years ago
You estimated the average rental cost of a 2 bedroom apartment in Denton. A random sample of 16 apartments was taken. The sample
Zigmanuir [339]

Answer:

The new sample size required in order to have the same confidence 95% and reduce the margin of erro to $60 is:

n=28

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

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".  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma=160)  

And the distribution for \bar X is:

\bar X \sim N(\mu, \frac{160}{\sqrt{n}})  

We know that the margin of error for a confidence interval is given by:  

Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)  

The next step would be find the value of \z_{\alpha/2}, \alpha=1-0.95=0.05 and \alpha/2=0.025  

Using the normal standard table, excel or a calculator we see that:  

z_{\alpha/2}=\pm 1.96  

If we solve for n from formula (1) we got:  

\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}  

n=(\frac{z_{\alpha/2} \sigma}{Me})^2  

And we have everything to replace into the formula:  

n=(\frac{1.96(160)}{78.4})^2 =16  

And this value agrees with the sample size given.

For the case of the problem we ar einterested on Me= $60, and we need to find the new sample size required to mantain the confidence level at 95%. We know that n is given by this formula:

n=(\frac{z_{\alpha/2} \sigma}{Me})^2  

And now we can replace the new value of Me and see what we got, like this:

n=(\frac{1.96*160}{60})^2 =27.32

And if we round up the answer we see that the value of n to ensure the margin of error required Me=\pm 60 $ is n=28.    

5 0
3 years ago
What's the answer to 1.6(2.5-10)+8.2=???
V125BC [204]

Answer:

-3.8

Step-by-step explanation:

1.6(2.5-10) + 8.2

1.6(-7.5) + 8.2

-12 + 8.2

-3.8

5 0
3 years ago
Read 2 more answers
Solve for x. −3(x 5)=−9 Enter your answer in the box.
GaryK [48]

x=8

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

5 0
2 years ago
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