Sine, cosine, and tangent to calculate the height of the buildings in the diagram below.
1 answer:
Answer: Around 68.0858 m
Step-by-step explanation:
- Set the height of 37°-53°-90° triangle as x
- Set the height of 50°-40°-90° triangle as y
- The horizontal side both triangles share = 35
To find x To find y
To find the height of the building, add the x-value and y-value:
<em>I hope this is correct o_o</em>
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Ypu would subtract Y from the other points Y
Then you would subtract X from the ither points X.
Then you would put the Y value over the X
Then simiplify
Then you would subtract X from the ither points X.
Then you would put the Y value over the X
Then simiplify
Answer:
The critical value that should be used in constructing the confidence interval is T = 1.316.
The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 26 - 1 = 25
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.316
The critical value that should be used in constructing the confidence interval is T = 1.316.
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 2.8 - 0.059 = 2.741 pounds
The upper end of the interval is the sample mean added to M. So it is 2.8 + 0.059 = 2.859 pounds.
The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.