Answer:
x ≈ 3.9
Step-by-step explanation:
Call the segment shared by the two triangle "y". The Pythagorean theorem tells you ...
sum of squares of sides = square of hypotenuse
y² +6² = 10²
x² +7² = y²
Substituting for y² using the second equation, we get ...
x² +7² +6² = 10²
x² = 10² -7² -6² = 100 -49 -36 = 15
Taking the square root, we find ...
x = √15 ≈ 3.9
Answer:
The required rate of interest = 14.285%
Step-by-step explanation:
Here, The principal amount = 7,000
The final paid amount = 9,000
Time = 2 years
Let us assume the rate of interest = R
Now, Simple Interest = Amount - Principal
= 9,000 - 7,000 = 2,000
So, the SI on the given principal for 2 years = 2,000
![\textrm{SIMPLE INTEREST } = \frac{P \times R \times T}{100}\\\implies 2000 = \frac{7,000 \times R \times 2}{100}\\\implies R = \frac{2,000 \times 100}{7,000 \times 2} = 14.285](https://tex.z-dn.net/?f=%5Ctextrm%7BSIMPLE%20INTEREST%20%7D%20%3D%20%5Cfrac%7BP%20%5Ctimes%20%20R%20%5Ctimes%20T%7D%7B100%7D%5C%5C%5Cimplies%202000%20%3D%20%5Cfrac%7B7%2C000%20%5Ctimes%20%20R%20%5Ctimes%202%7D%7B100%7D%5C%5C%5Cimplies%20R%20%3D%20%5Cfrac%7B2%2C000%20%5Ctimes%20100%7D%7B7%2C000%20%5Ctimes%202%7D%20%20%3D%2014.285)
or, R = 14.285%
Hence, the required rate of interest = 14.285%
The first 2 and last 2. I just did this assignment