Three friends go out to dinner. The total bill at the restaurant was $63.25 and the 3 friends wanted to leave a 15% tip for the
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0.8 inches
the volume (V) of a sphere is calculated using the formula
V = πr³
change the subject and express in terms of r
multiply both sides by 3
3V = 4πr³ ( divide both sides by 4π )
r³ = 3V / 4π ( take the cube root of both sides )
r = ∛( 3V /4π )
sphere A with V= 40
r = ∛ (120 / 12.56 ) = 2.122
sphere B with V = 10
r = ∛(30 / 12.56 ) = 1.337
sphere A - sphere B = 2.122 - 1.337 = 0.8 inches ( to nearest tenth )
<u>Given</u>:
The given triangle ABC is a right angled triangle.
The length of AC is 4 units.
The measure of ∠B is 20°
We need to determine the length of BC.
<u>Length of BC:</u>
The length of BC can be determined using the trigonometric ratio.
Thus, we have;
From the figure, the side opposite to the angle is AC and adjacent is BC.
Substituting opp = AC and adj = BC, we get;
Substituting AC = 4, we have;
Simplifying, we have;
Thus, the length of BC is 10.99 units.