7 units. the side Mr is labeled as 3 units. and the side
Answer:
Volume of right cylinder= 150.72 cu cm
Volume of cone= 314.159 cu cm
Volume of pyramid with base area 16= 160 cu cm
Volume of pyramid with length 3 =48 cu cm
Step-by-step explanation:
Volume of right cylinder = πr²h= 22/7 (4)²3= 150.72 cu cm
Volume of a cone = 1/3 πr²h= 1/3 (22/7) (5)²(12)= 314.159 cu cm
Volume of a pyramid = 1/3 ah= 1/3(16) (30)= 160 cu cm (where a= area and h= height)
Volume of pyramid= 1/3 (3*3)(16)= 48 cu cm
![\bf \begin{array}{clclll} -6&+&6\sqrt{3}\ i\\ \uparrow &&\uparrow \\ a&&b \end{array}\qquad \begin{cases} r=\sqrt{a^2+b^2}\\ \theta =tan^{-1}\left( \frac{b}{a} \right) \end{cases}\qquad r[cos(\theta )+i\ sin(\theta )]\\\\ -------------------------------\\\\](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bclclll%7D%0A-6%26%2B%266%5Csqrt%7B3%7D%5C%20i%5C%5C%0A%5Cuparrow%20%26%26%5Cuparrow%20%5C%5C%0Aa%26%26b%0A%5Cend%7Barray%7D%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0Ar%3D%5Csqrt%7Ba%5E2%2Bb%5E2%7D%5C%5C%0A%5Ctheta%20%3Dtan%5E%7B-1%7D%5Cleft%28%20%5Cfrac%7Bb%7D%7Ba%7D%20%5Cright%29%0A%5Cend%7Bcases%7D%5Cqquad%20r%5Bcos%28%5Ctheta%20%29%2Bi%5C%20sin%28%5Ctheta%20%29%5D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C)
now, notice, there are two valid angles for such a tangent, however, if we look at the complex pair, the "a" is negative and the "b" is positive, that means, "x" is negative and "y" is positive, and that only occurs in the 2nd quadrant, so the angle is in the second quadrant, not on the fourth quadrant.
thus
![\bf 12\left[cos\left( \frac{2\pi }{3} \right) +i\ sin\left( \frac{2\pi }{3} \right) \right]](https://tex.z-dn.net/?f=%5Cbf%2012%5Cleft%5Bcos%5Cleft%28%20%5Cfrac%7B2%5Cpi%20%7D%7B3%7D%20%5Cright%29%20%2Bi%5C%20sin%5Cleft%28%20%5Cfrac%7B2%5Cpi%20%7D%7B3%7D%20%5Cright%29%20%5Cright%5D)
Answer:
65
Step-by-step explanation:
90 degrees - 25 degrees = 65 degrees
Answer:
Our score = 0.60, Amanda's score = 0.25
Step-by-step explanation:
For Amanda
μ = 15 , σ = 4
z- score for X = 16 is (From z table)
z = (X - μ)/σ = (16 - 15)/4 = 0.25
For us
μ = 310 , σ = 25
z score for X = 325 (From z table)
z = (325-310)/25 = 0.60
Since our z score is better than Amanda's z score, we can say we did better
