Answer:
The angle is 84 degrees
Step-by-step explanation:
Let's call the angle by 'x'.
the supplement of x is equal to 180-x, and the complement of x is equal to 90-x.
If the supplement is sixteen times the complement, we can write the following equation:
(180 - x) = 16 * (90 - x)
180 - x = 1440 - 16x
16x - x = 1440 - 180
15x = 1260
x = 84
The angle is 84 degrees.
They are asking for managers so 996 of them are there, 25% are managers
Change the percent to a decimal (divide the percent number by 100)
You get 0.25
So multiply 996 by 0.25
You get 249
So there are <u>249 managers at the meeting</u>
Answer:
17.00906...
17.00936...
17.00963...
17.09630...
17.09631...
Step-by-step explanation:
The derivative of f(x)= 2x(11x^4+12)/(x+1) is
(2*(44x^5+55x^4+12))/(x+1)^2
Hope this helps! Any questions please feel free to ask! Thank you!
For part a:
Archimedes' principle states that the buoyancy force acting on an immersed object is equal to the weight of the fluid displaced. Because half of W displaces the water, the force must also equal half of W.
So the answer is c] (1/2) ×W.
For part b:
For an object to float entirely above water, the density of that object has to be greater or equal to the density of the water (1.00 g/cm³). So for half of it to lie below the waterline, it must be half as dense (0.5 g/cm³).
So the answer is e] 0.5 g/cm³.
Hope this helps!