Angle BAE is complementary to angle DAE.....so BAE = 25°
And angle ABE = angle BAE
So
BAE + ABE + AEB = 180
25 + 25 + AEB = 180
50 + AEB = 180 subtract 50 from both sides
AEB = 130°
Convert meters to cm
5m = 500cm
3m = 300cm
2m = 200cm
The volume of the storage room is
(500 * 300 * 200) = 30,000,000 cm^3
And the volume of each box = (10 * 6 * 4) = 240 cm^3
So.....the number of boxes that will fit =
30,000,000 / 240 = 125,000
8x-3y=22 multiply through by 6 → 48x - 18y = 132 (1)
6x+2y=12 multiply through by -8 → -48x -16y = -96 (2)
Add (1) and (2) and we get
-34y = 36 divide through by -34
y = -36/34 = -18/17
And using any of the equations to find x we have
6x + 2(-18/17) = 12
6x - 36/17 = 12
6x = 12 + 36/17 divide both sides by 6
x = 2 + 6/17 = 40/17
pi / 5 = irrational
log4(4x-12)=2
In exponential form, we have
4^2 = 4x - 12
16 = 4x - 12 add 12 to both sides
28 = 4x divide both sides by 4
7 = x
This is a kite
Sum of exterior angles of an octagon = 8(45) = 360°
Good....and you???
64x^2 - 16 factor
16 (4x^2 - 1)
16(2x + 1) (2x - 1)
3x^2-11x-4=y
We have the form
Ax^2 + Bx + C = y
The x coordinate of the vertex is given by : -B/ (2A) = - (-11) / (2*3) = 11/6
To find the y coordinate.....put this x value back into the function....and we have
3(11/6)^2 - 11(11/6) - 4
3(121/36) - 121/6 - 4
121/12 - 121/6 - 4
121/12 - 242/12 - 48/12 =
-169/12
So....the vertex is ( 11/6, -169/12 )
Can you give us a specific problem ????
