Harder than death itself I swear
1 answer:
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If you take a look at my really poorly drawn diagram, we can see it is a trigonometry problem. The angle, however, is outside the triangle, and we can find the angle inside the triangle next to it by taking it away from 90°:
90°0' - 72°54' = 17°6' ≈ 17.1°.
We can find the other angles becuase one is 90° and the other is:
180°-90°-17°6'=72°54' ≈ 72.9°(which you can see if you know your angle theorems).
We now have diagram 2, nicely simplified so we can see where to go.
Using the Sine Rule, i.e.
We can rearrange to find our length b:
Substituting numbers in:
b=366 feet.
90°0' - 72°54' = 17°6' ≈ 17.1°.
We can find the other angles becuase one is 90° and the other is:
180°-90°-17°6'=72°54' ≈ 72.9°(which you can see if you know your angle theorems).
We now have diagram 2, nicely simplified so we can see where to go.
Using the Sine Rule, i.e.
We can rearrange to find our length b:
Substituting numbers in:
b=366 feet.
Answer:
48 ft³
Step-by-step explanation:
To find the height, you can use the slant height and the base.
Using the Pythagorean Theorem and 3 as the triangle's base,
a²+b²=c²
3²+b²=5²
9+b²=25
b²=16
b=4
The height of the pyramid is 4.
Volume formula for the pyramid is
Inserting our measurements:
Answer: (17.42, 20.78)
Step-by-step explanation:
As per given , we have
Sample size : n= 9
years
Population standard deviation is not given , so it follows t-distribution.
Sample standard deviation : s= 1.5 years
Confidence level : 99% or 0.99
Significance level :
Degree of freedom : df= 8 (∵df =n-1)
Critical value :
The 99% confidence interval for the population mean would be :-
Hence, the 99% confidence interval for the population mean is (17.42, 20.78) .