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:
Option 3: mean increases by 3
Step-by-step explanation:
Current mean:
[50+76+78+2(79)+80+81+2(82)+83] ÷ 10
= 77
Without the outliers:
[76+78+2(79)+80+81+2(82)+83] ÷ 9
= 80
80 - 77 = 3 (increase)
Y-3=3(x-2)
y-3=3x-6 :-x=0
y-3=0-6
y=-6+3
y=-3
