8/10 = 4/5 would be the answer
Answer:
560 cubic inches
Step-by-step explanation:
Substitute:
V = lwh
V = 4(10)(14)
V = 40(14)
V = 560 in^3
(5, 8) has two positive numbers. In case you don't remember
Quadrant I: Both positive
Quadrant II: Negative x value, Positive y value
Quadrant III: Both negative
Quadrant IV: Positive x value, Negative y value
5 and 8 are Both Positive, therefore it is in quadrant I.
Apply to Row 2 : Row 2 + Row 1
2x + 2y + 3z = 0
y + 4z = -3
2x + 3y + 3z = 5
Apply to Row 3: Row 3 - Row 1
2x + 2y + 3z = 0
y + 4z = -3
y = 5
Apply to Row 3: Row 3 - Row 2
2x + 2y + 3z = 0
y + 4z = -3
-4z = 8
Simplify rows
2x + 2y + 3z = 0
y + 4z = -3
z = -2
<em>Note that the matrix is in echelon form now. The next steps are for back substitution.</em>
Apply to Row 2: Row 2 - 4 Row 3
2x + 2y + 3z = 0
y = 5
z = -2
Apply to Row 1: Row 1 - 3 Row 3
2x + 2y = 6
y = 5
z = -2
Apply to Row 1: Row 1 - 2 Row 2
2x = -4
y = 5
z = 2
Simplify the rows
<u>x = -2</u>
<u>y = 5</u>
<u>z = -2</u>
We know that
∠X≈∠B
∠Y≈∠C
∠Z≈∠A
XZ≈BA
XZ=12
BA=9
XY≈BC
XY=14
BC=10.5
ZY≈AC
ZY=16
AC=12
the scale factor=12/16-----> 0.75
therefore
the answer is the option D
