The formula for the volume of a sphere is V = Ar3, where Vis the volume
1 answer:
You might be interested in
<span>5-2x=15
</span>
<span>
</span>
</span>
</span>
Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>
Step-by-step explanation:
The formula for arc length [for the angle in degrees] is:
here,
= degrees
= radius
using this we'll solve all the parts:
r = 10, n = 20:
from here, it is just simplification:
2 and 360 can be resolved: 360 divided by 2 = 180
10 and 180 can be resolved: 180 divided by 10 = 18
finally, both 20 and 18 are multiples of 2 and can be resolved:
Option (E)
r=3, n=6:
Option (D)
r=4 n=7
Option (C)
r=2 n=x
Option (D)
r=y n=x
Option (E)