Answer:
113.04 cm³
Step-by-step explanation:
diameter = 6cm
so radius = 3cm
Volume of sphere =
= 4 * 3.14 * 3 * 3 *3 / 3
= 4 * 28.26
= 113.04 cm³
Answer:
<u>x = 54 and none of the alternatives given is correct</u>
Step-by-step explanation:
Let's solve for x in the equation given, this way:
2/3 ÷ 3x = 12
2/3 * x/3 = 12
2x/9 = 12
2x = 108
x = 108/2 = 54
Proof of x = 54
2/3 * 54/3 = 108/9 = 12
<u>x = 54 and none of the alternatives given is correct</u>
Answer:
Hope that answers your question, good luck in the future
Answer:
Step-by-step explanation:A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.
Speed = distance / time
Distance = speed × time
Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be
4 × 63 = 252 kilometers.
if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be
Time = distance / speed
= 252/56 = 4.5 hours
The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.
Let speed = s and let time = t
s varies inversely with t
Introducing constant of inverse variation k, it becomes
s = k/t
When s = 56, t = 4.5
56 = k/4.5
k = 4.5 × 56 =252
This is the distance
The ordered pairs are:
<span>{(1, 80), (2, 240), (3, 720), (4, 2160)}
with
a_1 = 80
a_2 = 240
a_3 = 720
a_4 = 2160
The terms are in a geometric sequence with a common ratio of
240/80 = 720/240 = 2160/720 = 3
The equation is:
a_n = 80 * 3^(n - 1)</span>