I need help one this..?

A = 110.9 ft²

Step-by-step explanation:

Assuming that the triangle is equilateral, all of the sides are 16 ft. You also have to find the height of the triangle to find the area. Use Pythagorean Theorem to find the height.

a² + 8² = 16²      Simplify

a² + 64 = 256

    - 64    - 64   Subtract

a² = 192            Take the square root of both sides

a = √192

Now you can solve for the area using the following equation.

A = bh                Substitute

A = (16)(√192)    Multiply

A = 8(√192)         Multiply

A = 110.9 ft²

If this answer is correct, please make me Brainliest!

In exponential growth of functions, the function becomes a constant function if the base of exponents is equal to 1 and the function will become a decreasing function when the value of the base of the exponent lies between .

Further explanation:  

The exponential function is .

The behavior of the graph changes with respect to as the graph will increase when and graph will decrease when .

Given:

In the exponential growth functions the base of the exponent must be greater than .

Calculation:  

The exponential growth function is where, is the base of the exponent and is the initial value and is the number of time interval that have passed.

Substitute in the exponential function.

Therefore, the value of the function will be a constant function if the base of the exponent is .

Figure 1 (attached in the end) represents the graph for the case .

The value of in the exponential functions can be written as,

    …… (1)

The graph of exponential function where is greater than is shown in the Figure 2 (attached in the end).

The value of in the decay functions can be written as,

    …… (2)

The term is the rate of change. It can be either growth rate or decay rate.

The value of will vary from to .

If we substitute any value of in the equation (2) then the value of   will always lie between to .

Since the graph decreases when .

Therefore, the exponential function will become a decreasing function if the base of the exponent is between .

It can better understand through the graph of where, is the real number and the base of the exponent lies between is shown in the Figure 3.

Learn more:  

1. Learn more about domain and range of the function

2. Learn more about composition of function

3. Learn more about the inverse of the function

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Function

Keywords:  Exponential function, base, exponent, variable, decay function, growth function, decreasing function, increasing function, constant functions, behavior of the graph, base change in exponential function.