Answer:
cot θ = √15 / 7
Explanation:
csc θ = 1 / sin θ
In a right angled triangle, sin θ = opposite / hypotenuse
This means that:
csc θ = hypotenuse / opposite = 8 / 7
So, we have:
opposite = 7 units and hypotenuse = 8 units
We will use the Pythagorean theorem to get the adjacent side as follows:
(hypotenuse)^2 = (opposite)^2 + (adjacent)^2
(8)^2 = (7)^2 + (adjacent)^2
(adjacent)^2 = 15
adjacent = √15 units
Now, we want to get the value of cot θ.
We know that:
cot θ = 1 / tan θ
Since tan θ = opposite / adjacent
Therefore:
cot θ = adjacent / opposite = √15 / 7
Hope this helps :)
Answer:
The percentage of people taking the test who score between 391 and 767 is 95%.
Step-by-step explanation:
The Empirical Rule(68-95-99.7 Rule) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 579
Standard deviation = 94
391 = 579 - 2*94
So 391 is two standard deviations below the mean.
767 = 579 + 2*94
So 767 is two standard deviations above the mean.
By the Empirical Rule:
The percentage of people taking the test who score between 391 and 767 is 95%.
V + f = a + 2
15 + f = 24 + 2
f = 26 - 15
f = 11 (11 faces)
height = 43 m
d = 14m
r = 7 m
A = π.r.g
g² = r²+h²
g² = 7²+43²
g² = 1898
g = \/1898
g ~ 43,56 m
A = π.r.g
A = π.7.43,56
A = 304,92 π
A = 304,92*3,14
A = 957,45 m² (área lateral)
