An equilateral triangle has sides 8 units long. An equilateral triangle with sides 4 units long is cut off at the top, leaving an isosceles trapezoid. What is the ratio of the area of the smaller triangle to the area of the trapezoid? Express your answer as a common fraction.

1:3

Step-by-step explanation:

Please study the diagram briefly to understand the concept.

First, we determine the height of the isosceles trapezoid using Pythagoras theorem.

The two parallel sides of the trapezoid are 8 Inits and 4 units respectively.

Area of a trapezoid

Area of the trapezoid

For an equilateral triangle of side length s.

Area  

Side Length of the smaller triangle, s= 4 Units

Therefore:

Area of the smaller triangle

Therefore, the ratio of the area of the smaller triangle to the area of the trapezoid

35 is an outlier

step-by-step explanation:

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of