Answer: (a * 50%)^3
Step-by-step explanation:
length = a
(a * 50%)^3
If a would've been the length and would've been decreased to 50%, the volume would be equal to that expression.
The answer is <span>12^2=x^2+8^2-16x(cos(72°) </span>
<span>x^2-4.9443x=80 </span>
<span>(x-2.4721)^2=86.1115 </span>
<span>x-2.4721=±9.2796 </span>
<span>x=11.7517 </span>
<span>B=72°, b=12, c=8, a=11.8 </span>
<span>C=arcsin(8/12*sin(72°))=39.3° </span>
<span>A=68.7° </span>
xy = -20
x + y = 1
x + y = 1
x - x + y = -x + 1
y = -x + 1
xy = -20
x(-x + 1) = -20
x(-x) + x(1) = -20
-x² + x = 20
-x² + x + 20 = 0
-1(x²) - 1(-x) - 1(-20) = 0
-1(x² - x - 20) = 0
-1 -1
x² - x - 20 = 0
x = -(-1) ± √((-1)² - 4(1)(-20))
2(1)
x = 1 ± √(1 + 80)
2
x = 1 ± √(81)
2
x = 1 ± 9
2
x = 0.5 ± 4.5
x = 0.5 + 4.5 or x = 0.5 - 4.5
x = 5 or x = -4
x + y = 1
5 + y = 1
- 5 - 5
y = -4
(x, y) = (5, -4)
or
x + y = 1
-4 + y = 1
+ 4 + 4
y = 5
(x, y) = (-4, 5)
The two numbers that add up to 1 and multiply to -20 are -4 and 5.
Answer- 8.4
Work =14 3/5 = 8.4