<span>If three sides are proportional their angles must be identical therefore they are always similar.</span>
Answer: 13%
Step-by-step explanation:
We know that the formula to find the simple interest :
, where P is the principal amount , r is rate (in decimal )and t is the time period (in years).
Given : Albert borrowed $19,100 for 4 years. The simple interest is $9932.00. Find the rate.
i.e. P = $19,100 and t= 4 years and I = $9932.00
Now, Substitute all the values in the formula , we get
![9932=(19100)r(4)\\\\\Rightarrow\ r=\dfrac{9932}{19100\times4}\\\\\Rightarrow\ r=0.13\ \ \ \text{[On simplifying]}](https://tex.z-dn.net/?f=9932%3D%2819100%29r%284%29%5C%5C%5C%5C%5CRightarrow%5C%20r%3D%5Cdfrac%7B9932%7D%7B19100%5Ctimes4%7D%5C%5C%5C%5C%5CRightarrow%5C%20r%3D0.13%5C%20%5C%20%5C%20%5Ctext%7B%5BOn%20simplifying%5D%7D)
In percent, 
Hence, the rate of interest = 13%
The x-value increases by a factor of 5 from 1.6 to 8 between the two points. Because the variation is inverse, the y-value must decrease by a factor of 5 between the two points.
6/5 = 1.2
The second point is (8, 1.2), corresponding to the 4th selection.
Answer:
Therefore the measure of the central angle is 45.86°.
Step-by-step explanation:
Given:
Radius = 9 cm
arc length = 7.2 cm
pi = 3.14
To Find:
Central angle = θ =?
Solution:
If the θ measured in degree then the arc length is given as

Where r = radius, θ = Central angle
On substituting the values we get

Therefore the measure of the central angle is 45.86°.