Answer:
Correct option: C -> 2%
Step-by-step explanation:
To find this probability we just need to divide the area of the bull's-eye circle by the total area of the outer circle.
The area of a circle is given by the equation:
![area = \pi * radius^2](https://tex.z-dn.net/?f=area%20%3D%20%5Cpi%20%2A%20radius%5E2)
The outer radius is 14 cm, so:
![outer\ area = \pi * 14^2 = 196\pi\ cm^2](https://tex.z-dn.net/?f=outer%5C%20area%20%3D%20%5Cpi%20%2A%2014%5E2%20%3D%20196%5Cpi%5C%20cm%5E2)
The inner radius is 2 cm, so:
![inner\ area = \pi * 2^2 = 4\pi\ cm^2](https://tex.z-dn.net/?f=inner%5C%20area%20%3D%20%5Cpi%20%2A%202%5E2%20%3D%204%5Cpi%5C%20cm%5E2)
So the probability is:
![inner\ area / outer\ area = 4\pi / 196\pi = 0.02 = 2\%](https://tex.z-dn.net/?f=inner%5C%20area%20%2F%20outer%5C%20area%20%3D%204%5Cpi%20%2F%20196%5Cpi%20%3D%200.02%20%3D%202%5C%25)
Correct option: C
Answer:
b
Step-by-step explanation:
Time taken for the total workout = 15 + 30 + 45 = 90 minutes
Time taken for lifting weight : total time = 30 : 90
= 1 : 3
Given:
The figure of a rhombus QRST.
To find:
A. The value of x.
B. The measure of angle RQP.
Solution:
A. We need to find the value of x.
We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.
[Right angle]
Divide both sides by 5.
Therefore, the value of x is 15.
B. We need to find the measure of angle RQP.
From the given figure, it is clear that
![m\angle RQP=(2x+3)^\circ](https://tex.z-dn.net/?f=m%5Cangle%20RQP%3D%282x%2B3%29%5E%5Ccirc)
Putting
, we get
![m\angle RQP=(2(15)+3)^\circ](https://tex.z-dn.net/?f=m%5Cangle%20RQP%3D%282%2815%29%2B3%29%5E%5Ccirc)
![m\angle RQP=(30+3)^\circ](https://tex.z-dn.net/?f=m%5Cangle%20RQP%3D%2830%2B3%29%5E%5Ccirc)
![m\angle RQP=33^\circ](https://tex.z-dn.net/?f=m%5Cangle%20RQP%3D33%5E%5Ccirc)
Therefore, the measure of angle RQP is 33 degrees.
U=mgh ⇒h=U/mg
Answer: h=U/mg