Answer:
56.52 units³
Step-by-step explanation:
r = 3 units ; h (height) = 2
V = 3.14 × 3² × 2
= 3.14 × 9 × 2
= 56.52 units³
The trigonometric function is given as
Apply the half angle identity to find the value of tan 75 ,
Here,
![\tan (75^{\circ})=\frac{\frac{1}{2}}{1-\frac{\sqrt[]{3}}{2}}=\frac{\frac{1}{2}}{\frac{2-\sqrt[]{3}}{2}}^{}](https://tex.z-dn.net/?f=%5Ctan%20%2875%5E%7B%5Ccirc%7D%29%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B1-%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D%7D%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B%5Cfrac%7B2-%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D%7D%5E%7B%7D)
![\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}](https://tex.z-dn.net/?f=%5Ctan%2075%5E%7B%5Ccirc%7D%3D%5Cfrac%7B1%7D%7B2-%5Csqrt%5B%5D%7B3%7D%7D)
Now rationalize the function.
![\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}\times\frac{2+\sqrt[]{3}}{2+\sqrt[]{3}}=\frac{2+\sqrt[]{3}}{4-3}=\frac{2+\sqrt[]{3}}{1}](https://tex.z-dn.net/?f=%5Ctan%2075%5E%7B%5Ccirc%7D%3D%5Cfrac%7B1%7D%7B2-%5Csqrt%5B%5D%7B3%7D%7D%5Ctimes%5Cfrac%7B2%2B%5Csqrt%5B%5D%7B3%7D%7D%7B2%2B%5Csqrt%5B%5D%7B3%7D%7D%3D%5Cfrac%7B2%2B%5Csqrt%5B%5D%7B3%7D%7D%7B4-3%7D%3D%5Cfrac%7B2%2B%5Csqrt%5B%5D%7B3%7D%7D%7B1%7D)
Again simplify the trigonometric function,
Hence the answer is 3.732.
The mean price goes between $ 41.16 and $ 42.84, so a value of $ 48 is unusually high.
Since the average price of an item is $ 42 with a standard deviation of $ 3, to find a 98% confidence interval about the mean, and determine if a value of X = 48 is unusually high or if it is normal, the following calculations should be done:
- (((42 - 3) + (42 + 3)) / 2) x 0.98 = X
- ((39 + 45) / 2) x 0.98 = X
- 42 x 0.98 = X
- 41.16 = X
- (((42 - 3) + (42 + 3)) / 2) x 1.02 = X
- ((39 + 45) / 2) x 1.02 = X
- 42 x 1.02 = X
- 42.84 = X
Therefore, as the mean price goes between $ 41.16 and $ 42.84, a value of $ 48 is unusually high.
Learn more about maths in brainly.com/question/25908442
The answer you are looking for is A. 7.00. The cost of the item should be $6.00 as the tax should be $0.48. Making the total cost of the item $6.48.
