Answer:
The daily shop productivity is 480 frames
Step-by-step explanation:
The daily machine productivity refers to the TOTAL production made in a day.
The problem says that a shop produces metal on two different machines. It means that you must take into account the daily production of each one for finding the total production.
The first machine produces 300 frames in a day.
The second machine produces 180 frames in a day too.
So, if the first and the second machines are working together in a single day, the TOTAL daily production is the sum of the production of each one.
Thus, the daily shop productivity is 480 frames
Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
Use division or long division (ignore the decimal point)
Then put the decimal in the same spot as the dividend (the number being divided)
The answer is 51.3
Explanation:
You’re finding angle Y, so write the SOH CAH TOA. the two sides your are given are the adjacent side to Y and the opposite side so you use tangent. You then get the equation tanY=10/8 Since you’re finding an angle you use inverse tangent so you get y=tan^-1(10/8) and then put that into the calculator!
I actually just learned this in 8th grade and it was so easy its crazy but its honestly simple it helps you solve the triangles and things and the equation is a squared + b squared = c squared and the a and b you would plug in the sides of the triangle or whatever shape your working with and square those numbers then find c by adding the two and then you square the c at the end and that will be your answer.
