Answer: 3∛2
<u>Step-by-step explanation:</u>
First, factor 128 .... you need three common factors to bring one on the outside of the radical.
![\dfrac{3}{4}\sqrt[3]{128} \\\\\\=\dfrac{3}{4}\sqrt[3]{4\cdot 4\cdot 4\cdot 2} \\\\\\=\dfrac{3}{4}\cdot 4\sqrt[3]{2} \\\\\\=\large\boxed{3\sqrt[3]{2} }](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B4%7D%5Csqrt%5B3%5D%7B128%7D%20%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B3%7D%7B4%7D%5Csqrt%5B3%5D%7B4%5Ccdot%204%5Ccdot%204%5Ccdot%202%7D%20%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B3%7D%7B4%7D%5Ccdot%204%5Csqrt%5B3%5D%7B2%7D%20%5C%5C%5C%5C%5C%5C%3D%5Clarge%5Cboxed%7B3%5Csqrt%5B3%5D%7B2%7D%20%7D)
Answer:
I believe it's 12
Step-by-step explanation:
I am so sorry if it's incorrect-
Answer:
105 = (w+8) *w
w = 7 cm
l = 15 cm
Step-by-step explanation:
Area of a rectangle is
A = l*w
l = w+8
105 = (w+8) *w
Distribute
105 = w^2 +8w
Subtract 105 from each side
105-105 = w^2 +8w -105
0 =w^2 +8w -105
Factor
What 2 number multiply to 105 and add to 8
15*-7 = -105
15-7 = 8
(w+15) (w-7) =0
Using the zero product property
w+15 =0 w-7 =0
w=-15 w=7
impossible
not negative
w =7
l = 15
Angle 2 and angle 11 are alternate exterior angles. Line G and line L are parallel lines. Think of them as train tracks. On the outside or exterior of the train tracks is angle 2 and angle 11.
Angle 2 is on the right side of the transversal line, while angle 11 is on the left side of the transversal line.
So this is why they are alternate exterior angles. Because line G and line L are parallel lines, this means the alternate exterior angles are congruent (by the alternate exterior angle theorem).
Since angle 2 is 115 degrees, angle 11 must also be 115 degrees
Answer: C) 115
