Equation of shaded triangle is
.
Solution:
Length of the rectangle = 14 ft
Breadth of the rectangle = 8 ft
Area of the rectangle = length × breadth
= 14 × 8
In this rectangle the diagonal splits the rectangle into two equal halves.
Area of the shaded triangle = Half of area of rectangle

Area of the shaded triangle = 
Hence the equation can be used to calculate the area of the shaded
triangle is
.
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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.
Answer:
The GCF of 175 and 280 is 35.