When two triangles are similar, they're sides are in proportion.
In order to find the unknown side, we first have to find the ratio of the larger triangle to the smaller triangle.
We can use the sides TV and LN to make the proportion.
=
The ratio between the two triangles is 21:6
Now we can solve for the unknown side.
=
Cross multiply:
8 * 21 = 6 * LM
168 = 6LM
Divide both sides by 6:
LM = 28
The unknown side's length is 28 centimeters
Good luck!
Answer:
Step-by-step explanation:
The standard compound interest formula is given by:
Where A is the amount afterwards, P is the principal, r is the rate, n is the times compounded per year, and t is the number of years.
Since we are compounding annually, n=1. Therefore:
Lester wants to invest $10,000. So, P=10,000.
He wants to earn $1000 interest. Therefore, our final amount should be 11000. So, A=11000.
And our timeframe is 3.3 years. So, t=3.3. Substituting these values, we get:
Let’s solve for our rate r.
Divide both sides by 10000:
We can raise both sides to 1/3.3. So:
The right side will cancel:
So:
Use a calculator:
So, the annual rate of interest needs to be about 0.03 or 3% in order for Lester to earn his interest.
