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solniwko [45]
2 years ago
8

A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm. What is th

e approximate area of the triangle? Round to the nearest tenth. Area of a triangle = bh 68.7 cm2 161.7 cm2 381.3 cm2 450.0 cm2
Mathematics
1 answer:
Mnenie [13.5K]2 years ago
4 0
First, we need to find the opposite side.
opposite^2 = 30^2 -27.6^2
opposite^2 = 900 -761.76
opposite^2 = 138.24
opposite side = <span> <span> <span> 11.7575507654 </span> </span> </span>

Right Triangle Area = (adj * opp) / 2
Right Triangle Area = (27.6 * 11.758) / 2
Right Triangle Area = 324.51 / 2
Right Triangle Area = 162.25

Answer is 161.7 cm^2





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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.  

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In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

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Since we don't have a prior estimation for the proportion we can use 0.5 as estimation. And replacing into equation (b) the values from part a we got:

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