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Likurg_2 [28]
3 years ago
13

Find the total surface area of this triangular prism

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
6 0

Answer:

<h2><u><em>144 cm²</em></u></h2>

Step-by-step explanation:

6 * 8 + 10 * 4 + 8 * 4 + 6* 4 =

144 cm²

first i found the area of ​​the triangle without dividing by two because they are one on each side

11111nata11111 [884]3 years ago
5 0
Explanation in picture

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PLEASE HELP ME MY BRIAN IS LIKE PUTTY 50 points for correct answerr
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Answer:

Part A :

The scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' is divided by 3.

Part B :

P"(-1,2), Q"(0,3), R"(1,0)

Part C :

Triangle PQR and P"Q"R" are not congruent because congruent means equal and similar but triangle PQR and P"Q"R" are proportional because they are rational to each other but do not have the same measures of sides but the angles are congruent.

This is the graphing of the triangle.

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2 years ago
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3 years ago
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A cosine function is graphed below. Use the drop-down menus to describe the graph. The amplitude of the graph is __ . The equati
Tresset [83]

Amplitude:4

Equation of Midline: 2

Period of function:3

Function shifted left:0.5

Function shifted up: 2

4 0
3 years ago
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One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio
Bess [88]

Answer:

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

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".  

\bar X represent the sample mean for the sample  

\mu population mean

\sigma=60 represent the population standard deviation  

n represent the sample size (variable of interest)  

Confidence =95% or 0.95

The margin of error is given by this formula:  

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

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:  

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

The critical value for 95% of confidence interval is provided, z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

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3 years ago
5. Ms. Sellers flew out to Utah to take her sons to college. If she flew 245.6
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Answer:

Step-by-step explanation:

distance flown in 5.4 hours = 245.6 miles

distance flown in 1 hour = 245.6/5.4

= 45.481 miles

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