Volume of a spehere=(4/3)πr³
Data:
diameter=3.5 in
π=3.14
1)we calculate the radius:
r=diameter/2=3.5 in / 2=1.75 in
2) we calculate the volume of this sphere:
volume=(4/3)*3.14*(1.75 in)³=22.4379...in³≈22.44 in³.
Answer: 22.44 in³
The answer is 4 m/s.
In the first 5 seconds, a body travelled 10 meters. In the first 10 seconds of the travel, the body travelled a total of 30 meters, which means that in the last 5 seconds, it travelled 20 meters (30m + 10m).
The relation of speed (v), distance (d), and time (t) can be expressed as:
v = d/t
We need to calculate the speed of the second 5 seconds of the travel:
d = 20 m (total 30 meters - first 10 meters)
t = 5 s (time from t = 5 seconds to t = 10 seconds)
Thus:
v = 20m / 5s = 4 m/s
Since the height is different on both ends, we can assume that the wall is a trapezoid. Knowing that, we can replace the measures we know in the formula and our onky variable is the length of the wall - we only need to isolate it.
A= ((b+B)h)/2
26.4=((2+2.4)h)/2
52.8=4.4h
h=12
Answer:
$537.60
Step-by-step explanation:
12% increase is the same as multiplying by 1.12, 480*1.12=537.60
30°, 70°, and 80°.
It is an acute-angled triangle.
Explanation:
The ratio of the measures of ∠s in Δ is 3:7:8.
So, let us suppose that the measures are, 3k, 7k, 8k.
Evidently, their sum is
180°.
3k+7k+8k=180
18k=180
k= 10
Hence, the measures are,
30°, 70°, and 80°.
As all the angles are acute, so is the triangle.
