91 divided by 7= 13 so he can paint 13 each week.
13x4=52
So he can paint 52 paintings in 4 weeks! Hope this helped :)))
Answer:
1) the most direct way is to use the normal volume formula for cubes/rectangular prisms
2)60 inches cubed
Step-by-step explanation:
Volume=length x width x height
V=4x5x3
V=20x3
V=60
therefore the volume is 60 inches ^3
The solution is not unique, but given that
![\sin x=\dfrac12](https://tex.z-dn.net/?f=%5Csin%20x%3D%5Cdfrac12)
, by the Pythagorean identity we have two solutions for
![\cos x](https://tex.z-dn.net/?f=%5Ccos%20x)
:
![\sin^2x+\cos^2x=1\implies\cos x=\pm\sqrt{1-\sin^2x}=\pm\dfrac{\sqrt3}2](https://tex.z-dn.net/?f=%5Csin%5E2x%2B%5Ccos%5E2x%3D1%5Cimplies%5Ccos%20x%3D%5Cpm%5Csqrt%7B1-%5Csin%5E2x%7D%3D%5Cpm%5Cdfrac%7B%5Csqrt3%7D2)
Then from this, we have two corresponding solutions for
![\tan x](https://tex.z-dn.net/?f=%5Ctan%20x)
. By definition,
![\tan x=\dfrac{\sin x}{\cos x}](https://tex.z-dn.net/?f=%5Ctan%20x%3D%5Cdfrac%7B%5Csin%20x%7D%7B%5Ccos%20x%7D)
and so we can have, in the case of
![\cos x>0](https://tex.z-dn.net/?f=%5Ccos%20x%3E0)
.
![\tan x=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}](https://tex.z-dn.net/?f=%5Ctan%20x%3D%5Cdfrac%7B%5Cfrac12%7D%7B%5Cfrac%7B%5Csqrt3%7D2%7D%3D%5Cdfrac1%7B%5Csqrt3%7D)
or
![\tan x=-\dfrac1{\sqrt3}](https://tex.z-dn.net/?f=%5Ctan%20x%3D-%5Cdfrac1%7B%5Csqrt3%7D)
in the case that
![\cos x](https://tex.z-dn.net/?f=%5Ccos%20x%3C0)
.
Answer:
12 4 (12, 4)
18 6 (18, 6)
Step-by-step explanation:
On coordinate plane, the "add 6" column values are x-axis values and "add 2" column values are y-axis values.