Step-by-step explanation:
Case 1 : |x| > a, => x > a or x < -a
Case 2 : |x| < a, => -a < x < a
Since this question follows Case 1, we will have an "or" inequality.
The triangle inequality applies.
In order for ACD to be a triangle, the length of AC must lie between CD-DA=0 and CD+DA=8.
In order for ABD to be a triangle, the length of AC must lie between BC-AB=3 and BC+AB=9.
The values common to both these restrictions are numbers between 3 and 8. Assuming we don't want the diagonal to be coincident with any sides, its integer length will be one of ...
{4, 5, 6, 7}
6
2+x=8
Subtract 2 on both sides
x=6
Answer:
48.1 m³ available, 2.5m³ not available
Step-by-step explanation:
Tan(X) = 4.5/(5.8+1.7)
Tan X = 3/5
Hypotenuse² = 3² + 5² = 34
Sin X = 3/sqrt(34)
X = 30.96
1/sinX = 1.7/SinY
Y = 61.003°
Third angle: 180 - X - Y = 88.037
Volume
= ½ × 1.7 × 1 × sin(88.038) × 3
= .
= 2.548
= 2.5m³
Available for storage:
½×4.5×7.5×3 - 2.548
= 48.077 = 48.1 m³
Answer:
Using polynomial division, the answer would come out to be:
3x^2-4x-4+(1/2x-1)
