Answer:
The answers is below in bold.
Step-by-step explanation:
(a) A = 180 - 25.6 - 124.4 = 30 degrees.
Next use the Sine Rule:
b / sin B = c / sin C
b / sin 25.6 = 39.2/sin 124.4
b = (39.2 * sin 25.6) / sin 124.4
b = 20.53 m.
Also
a / sin A = c / sin C
a / sin 30 = 39.2 / sin 124.4
a = (39.2 * sin 30 / sin 124.4
a = 23.75 m.
b). This is solved in a similar way to (a).
First find angle C using the sine rule.
Then you will know angle A from the 180 degree Rule.
Then you can find the length of a using the Sine Rule.
X + y = 27
x = y + 3
y + 3 + y = 27
2y + 3 = 27
2y = 27 - 3
2y = 24
y = 24/2
y = 12
x = y + 3
x = 12 + 3
x = 15
ur numbers are 12 and 15
If the whole diameter of sphere is 6 inch(means radius is 3 inch) & thickness of material is 1 inch, so the radius of the hollow part should be 2 inch (3-1=2)
The total volume of the ball will be;
= Total volume - Volume of hollow part
= 4/3πr³ - 4/3πr³
= 4/3 × 3.14 × (3)³ - 4/3×3.14×(2)³
= 4 × 3.14 × 9 - 4/3 × 3.14 × 8
= 113.04 - 33.52
= 79.52
If the density of the material is 3.25 g/in3, then the density of 79.52 inch³ should be;
= 79.52 × 3.25
= 258.44 g
Now, if there are 8 spheres in one box, the weight if box will be;
= 258.44 × 8
= 2,067.52 g
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Ahh! Finally done with this, if you have any doubt just do ask me :)
