A frozen yogurt shop offers a rewards system for frequent customers. The graph below represents how much a rewards customer pays
2 answers:
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Answer:
Step-by-step explanation:
a) Pythagorean theorem,
altitude² + base² = hypotenuse²
h² + (w² - 1)² = (w² + 1)²
h² = (w² + 1)² - (w² - 1)²
{Compare with (a + b)² - (a -b)² = 4ab where a =w² & b = 1}
h² = 4*w²*1
h² = 4w²
b) Area of triangle =
c) w =2
Area of triangle = 3w = 3*2 = 6
The true statements is the population was 4800 when the collection of data began. (3rd option)
<h3>What is an exponential function?</h3>An exponential equation can be described as an equation with exponents. The exponent is usually a variable.
The general form of exponential equation is f(x) =
Where:
- x = the variable
- e = constant
When a population grows at an exponential rate, it usually has compound rate of growth. Compound growth refers to the geometric progression of a variable.
The exponential equation used to represent an exponential growth usually have this form:
FV = PV (1 + r)^n
Where:
- FV = future population
- PV = present population
- r = rate of growth
- n = number of years
Given this exponential equation : f(x) = 4800 (1.02)^t
- 4800 = initial population or population when the data collection began
- 2 % = rate of growth
- t = number of years
To learn more about exponential functions, please check: brainly.com/question/26331578
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Answer:
25
Step-by-step explanation:
Given that:
A large circle in the park has its middle part painted.
The circle is divided in 4 equal parts.
Radius of the circle = 10 meters
To find:
Area of each section of the circle, = ?
Solution:
Here, we need to find the area of the bigger circle first and then need to divide it into 4 equal parts to find out the answer.
First of all, let us have a look at the formula for area of a circle with given radius :
Here,
Putting the value in the above formula, we get:
So, area =
Now, there are 4 equal parts of the circle, therefore area of each section will be equal.
Area of each section of the circle:
Graph will look like this if this is one of the options
