Answer:
Step-by-step explanation:
After Saturday, there was
of the journey left.
of that would be:
*
=
=
of the journey.
Thus, the answer is 3/8
The time (minutes) vary directly with the number of walls and inversely to the number of people.
m = kw/p, where m = minutes, w = walls, and p = people
60 = 5k/7
420 = 5k
84 = k m = 10(84)/10
m = 84
It takes 84 minutes for 10 people to paint 10 walls.
Answer:
A TRAPEZOID!!
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
Given that:
![\displaystyle{DC^2 = 2a^2(1+\cos 2\theta)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7BDC%5E2%20%3D%202a%5E2%281%2B%5Ccos%202%5Ctheta%29%7D)
Where
and
. Substitute these values in the expression:
![\displaystyle{\left(\sqrt{12}\right)^2 = 2\cdot 2^2(1+\cos 2\theta)}\\\\\displaystyle{12= 2\cdot 4(1+\cos 2\theta)}\\\\\displaystyle{12= 8(1+\cos 2\theta)}\\\\\displaystyle{\dfrac{12}{8}= 1+\cos 2\theta}\\\\\displaystyle{\dfrac{3}{2}=1+\cos 2\theta}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cleft%28%5Csqrt%7B12%7D%5Cright%29%5E2%20%3D%202%5Ccdot%202%5E2%281%2B%5Ccos%202%5Ctheta%29%7D%5C%5C%5C%5C%5Cdisplaystyle%7B12%3D%202%5Ccdot%204%281%2B%5Ccos%202%5Ctheta%29%7D%5C%5C%5C%5C%5Cdisplaystyle%7B12%3D%208%281%2B%5Ccos%202%5Ctheta%29%7D%5C%5C%5C%5C%5Cdisplaystyle%7B%5Cdfrac%7B12%7D%7B8%7D%3D%201%2B%5Ccos%202%5Ctheta%7D%5C%5C%5C%5C%5Cdisplaystyle%7B%5Cdfrac%7B3%7D%7B2%7D%3D1%2B%5Ccos%202%5Ctheta%7D)
Substitute ![\displaystyle{\theta = 30^{\circ}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Ctheta%20%3D%2030%5E%7B%5Ccirc%7D%7D)
![\displaystyle{\dfrac{3}{2}= 1+\cos (2 \cdot 30^{\circ})}\\\\\displaystyle{\dfrac{3}{2}= 1+\cos 60^{\circ}}\\\\\displaystyle{\dfrac{3}{2}= 1+\dfrac{1}{2}}\\\\\displaystyle{\dfrac{3}{2}= \dfrac{2}{2}+\dfrac{1}{2}}\\\\\displaystyle{\dfrac{3}{2}= \dfrac{3}{2}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cdfrac%7B3%7D%7B2%7D%3D%201%2B%5Ccos%20%282%20%5Ccdot%2030%5E%7B%5Ccirc%7D%29%7D%5C%5C%5C%5C%5Cdisplaystyle%7B%5Cdfrac%7B3%7D%7B2%7D%3D%201%2B%5Ccos%2060%5E%7B%5Ccirc%7D%7D%5C%5C%5C%5C%5Cdisplaystyle%7B%5Cdfrac%7B3%7D%7B2%7D%3D%201%2B%5Cdfrac%7B1%7D%7B2%7D%7D%5C%5C%5C%5C%5Cdisplaystyle%7B%5Cdfrac%7B3%7D%7B2%7D%3D%20%5Cdfrac%7B2%7D%7B2%7D%2B%5Cdfrac%7B1%7D%7B2%7D%7D%5C%5C%5C%5C%5Cdisplaystyle%7B%5Cdfrac%7B3%7D%7B2%7D%3D%20%5Cdfrac%7B3%7D%7B2%7D%7D)
Therefore, since both sides are the same after substituting theta = 30 degrees.
Hence, proved.
Step-by-step explanation:
6/20
3/10 (simplified)
do you want the percentage?