Answer: 0.22hz
Step-by-step explanation:
Hi to answer this question we have to analyze the information given:
- <em>Period (T) = 4.5 Seconds
</em>
So, to calculate the frequency of the pendulum we have to apply the formula;
Frequency (f)= 1 / period
Replacing with the value given:
f = 1/ 4.5 sec = 0.22 hz
Feel free to ask for more if needed or if you did not understand something.
Answer:
x = π/4 and 5π/4
Step-by-step explanation:
Given the expression;
2cos²x - 1 = 0
2cos²x = 0+1
2cos²x = 1
cos²x = 1/2
cos x = ±√1/2
cos x = ±0.7071
x = arccos(±0.7071)
x = ±45 degrees
Convert to radians
Sence 180° = π rad
45° = x
x = 45π/180
x = π/4
If x = -45°
Since cos is negative in the 3rd quadrant
x = 180 + 45
x = 225°
x = 225π/180
x = 45π/36
x = 5π/4
Answer:
BG = 3; GE = 6
Step-by-step explanation:
The centroid of a triangle divides the median into two parts in the ratio 1 : 2. That is, the short segment is 1/3 the length of the median, and the long segment is 2/3 the length of the median.
BG = 1/3·BE = 9/3 = 3
GE = 2/3·BE = 2/3·9 = 18/3 = 6
Scale factor is used by architects or engineers to transfer their prototype idea to large-scale use. If the volume of a prism is 20, you need to multiply its dimensions with a scale factor to find the new volume which is 540. For example, if the volume is doubled, this means you used a scale factor of 2. Hence, you just have to divide the new volume by the smaller volume.
Scale factor = 540/20
Scale factor = 27
