Answer:

Step-by-step explanation:
cot(-11pi/6)=cot(-pi-5pi/6)= -cot(5pi/6)=cot(pi/6)=
≈1.73
Answer:
Step-by-step explanation:
multiply 0.83 by 0.06 = 0.0498
multiply 0.17 by 0.52 and add that to the first one
which gives you the prob of winning of 0.1382
Answer:
The correct answer would be 2π x 2²/5
Step-by-step explanation:
First, calculate the product, and evaluate the power which would be 2³π/5 and the solution is in an alternate form, therefore making it rational. :)
Wording is everything. Here, there are some issues. "... at the rate of 1/2 per month" can be interpreted to mean that at the end of the first month, there are 649 1/2 items in Marie's closet (decreased by 1/2 from 650).
"The number of items Dustin adds" could mean 5 items, the number he adds each month. The wording should specify the time period or whether we're talking about the total number Dustin has added.
We assume your description means that the number of items in Marie's closet at the end of each month is 1/2 what it was at the beginning. (As opposed to decreasing by 1/2 item each month.) We assume we're interested in the total number of items of Dustin's that are in the closet.
Marie's quantity can be modeled by ...
... m = 650·(1/2)^t . . . . . t = time in months
Dustin's quantity can be modeled by ...
... d = 5t
There will be one solution for d=m, at about t = 4.8. At that point, Dustin will have added about 24 items, which will be the number Marie is down to.
There is a viable solution for d=m at about t = 4.8.
Answer:
14 inches
Step-by-step explanation:
The volume of a rectangular prism is V=l*w*h
Given the info in the problem, we have:
840=l*10*6
840=60l
14=l
The length of the prism is therefore 14 inches because volume is length*width*height and since we already have the volume, height, and width, we need to get the variable for length by itself.