Answer:
Step-by-step explanation:
Volume = 198 ft
length * width * height = 198
(x - 1) * (x + 4) * 3 = 198
(x - 1) * (x + 4) = 198/3
(x - 1) * (x + 4) = 66
x*x + x*4 -1*x - 1*4 = 66 {Use FOIL method to multiply}
x² + 4x - x - 4 = 66
x² + 3x - 4 =66
x² + 3x - 4 - 66 = 0
x² + 3x - 70 = 0
Now factorize.
x² + 10x - 7x - 7*10 = 0
x(x +10) - 7(x + 10 ) = 0
(x + 10)(x - 7) = 0
x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}
x = 7
length = x - 1 = 7 - 1 = 6ft
Width = x + 4 = 7 + 4 = 11 ft
Was there a typo in the possible answers by any chance? B is closest to the possible answer, but only if the division sign was a multiplication sign.
102 <span>÷ 6 = 17
102 </span><span>÷ 17 = 6
17 x 6 = 102
6 x 17 = 102</span>
Answer:
for the number 13
Step-by-step explanation:
by Pythagoras theorem
x= √81+36
x= √117
punch square root of 117 with a calculator, I don't have one now
Answer:
C) Reflection about the origin
Step-by-step explanation:
DE points to the right and slightly down. D'E' points to the left and slightly up. The segments are parallel, not perpendicular, so represent a rotation of 180°, not 90°. If the figure were subject only to translation, these segments would point in the same direction.
The transformation is a reflection about the origin (C). (This is equivalent to a rotation of 180°.)