Students : A B C D E F
3 of them (A, B, & C) must be seated together
options::
A B C D E F ..... D E F A B C ..... D A B C E F ..... D E A B C F
A B C D F E ..... D F E A B C ..... D A B C F E ..... D F A B C E
A B C E F D ..... E F D A B C ..... E A B C F D ..... E F A B C D
A B C E D F ..... E D F A B C ..... E A B C D F ..... E D A B C F
A B C F E D ..... F E D A B C ..... F A B C E D ..... F E A B C D
A B C F D E ..... F D E A B C ..... F A B C D E ..... F D A B C E
24 options
Answer:
Area of the remaining triangle with the villager is 1243.13 m²
Step-by-step explanation:
Triangle ABC is the triangular plot of a villager shown in the figure attached.
Sarpanch requested the villager to donate land which is 6 m wide and along the side AC which measures 132.8m.
Other sides of the plot has been given as AB = 50m and BC = 123 m.
Now area of this land before donation = 
= 
= 3075 square meter
After donation of the land the triangle formed is ΔDBE.
In ΔABC,

tan(∠ABC) = 
= 0.4065
∠ABC = 
= 22.12°
In ΔEFC,
tanC = 
0.4065 = 
CF = 
CF = 14.76 m
Since DE = AC - (CF + AG)
= 132.8 - (2×14.76)
= 132.8 - 29.52
= 102.48 m
Now in ΔDBE,
sin(∠DEB) = 
sin(22.12) = 
DB = 102.48×0.3765
= 38.59 m
Similarly, cos(22.12) = 
0.9264 = 
BE = 102.48×0.9264
= 94.94m
Now area of ΔDBE = 
= 
= 1831.87 square meter
Area of remaining triangle with the villager = Area of ΔABC - Area of ΔDBE
= 3075 - 1831.87
= 1243.13 square meter
Answer:When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). ... Remember that each point of a reflected image is the same distance from the line of reflection as the corresponding point of the original figure.
Step-by-step explanation:
Answer:
g(-4)=144
Step-by-step explanation:
g(-4)=-3*-4)(-4-8)
3*-4=-12
-4-8=-12
-12*-12= 144