Answer:
150
Step-by-step explanation:
3×0=0
3×1=3
3×2=6
3×3=9
....
3×50=150
Let the Volume of the first cube be V1
V1 = 2 * 2 * 2
= 8 cm*3
Let the Volume of the second cube be V2
V2 = 6 * 2 * 12
= 144 cm*3
Now, cube1 with volume of 8 cm*3 holds 468 grains of rice.
Thus, 1 cm*3 volume can hold 58.5 grains of rice ( 468 / 8 = 58.5)
Cube2 has volume of 144 cm*3.
Hence, it can hold 8424 grains of rice ( 144 * 58.5 = 8424)
Let point A(-2,4) = A (X1,Y1)
point B( 1,3 )= B (X2,Y2)
point C(4,-1) = C (X3,Y3)
and point D(?, ?) = D (X4,Y4) We have to find this point
To find X4 we have to use the formula:
X2-X1=X3-X4
Now just plug in the numbers that correspond to the letters provided:
(1)-(-2)=(4)-(X4) ----> we don't know what X4 is yet, so we have to solve for it!
1+2=4-X4
3=4-X4
3-4=-X4
-1=-X4 divide both sides by -1
X4=1
Now we have to find Y4 using this formula:
Y2-Y1=Y3-Y4
Therefore,
(3)-(4)=(-1)-(Y4)
-1=-1-Y4
-1+1=-Y4
0=-Y4
So,
Y4=0
Now we have found the coordinates of the point D, which is (1,0)
Hope this helped!
Using the Sine Rule:-
20 /sin 45 = BC / sin 30
BC = 20 sin 30 / sin45
= 20 * 1/2 / 1 / sqrt2
= 20 * 1/2 * sqrt2
= 10 sqrt2 answer
