Answer:
61 pens, 244 batteries
Step-by-step explanation:
4*3x+4x=976
16x=976
x=61
4x=244
<h2>I hope it will help you!!!!!</h2>
Step-by-step explanation:
first of all, your teacher wrote nonsense in the answer options : an area is always given in squared units. never in cubed units (which would be volume).
the area is : 1/2 × perimeter × apothem
the perimeter is simply 12 × 5 = 60 meters.
apothem = (a/2)×cot(pi/12) = 5/2 × cot(pi/12) =
= 9.330127019... meters
so the area is
1/2 × 60 × 9.330127019... = 279.9038106... m²
therefore, the third answer option is correct (although it is m², and not m³).
by the way, you have question 3 wrong. I answered this with the correct apothem calculation in the explanation for question 4.
Tom--------------
>10 sq ft per minute
Tim-------------------
>3.5*10=35 sq ft per minute
Both painters (10+35)=45
sq ft per minute
let's assume a cubic unit crate----------> V1=1*1*1=1 feet3
<span>the total surface of the cube is S1=6*(1*1)=6 </span>sq
ft
if the volume of the cube increases twice
V2=2 feet3 ------------------- > 2=x*x*x------------- >x=2^(1/3)
And the S2=6*(2^(1/3)*<span> 2</span>^(1/3)=9.5244 sq ft
V2/V1=9.5244/6=1.5874
Therefore
If Tim and Tom-----------------------
> take 1 day----------- > to paint a crate V1
For the crate V2------------- > take 1.5874 days
assuming an 8-hour work day
0.5874*8=4.70 hr-------------- > 4 h 42 min
The answer is 1 day 4h 42 min
