Answer:

Step-by-step explanation:
Given
The attached shape
Required
Probability of locating within the shaded region
First, calculated the area of the shaded region

Where
--- given
So:


Next, calculated the area of the complete rectangle

Where
--- given
So:


The required probability is:



Answer:
m < ANM = 36 degrees.
AM = 9.40 cm to the nearest hundredth.
Perimeter = 94.05 cm to the nearest hundredth.
Step-by-step explanation:
As we have a regular pentagon:
m < ANB = 360 / 5
= 72 degrees
So m < ANM = 1/2 * 72
= 36 degrees.
In the triangle ANM, AN = 16 so
sin 36 = Am / 16
AM = 16 sin36
= 9.4045 cm.
AB = 2 * AM = 18.809 cm
So as all sides are equal:
Perimeter = 5 * 18.809
= 94.05 cm.
The average rate of change of the function, over the given interval is 2.
This question is incomplete, the complete question is:
What is the average rate of change of f(x) = 2x+10, if this function interval are x = -3 to x = 0.
<h3>What is the average rate of change over the interval?</h3>
The average rate of change of f(x) over the interval [a,b] is expressed as;

Given that;
- f(x) = 2x + 10
- Interval: [ -3, 0 ], a = -3 and b = 0
We substitute our values into the expression above.
![\frac{f(b)-f(a)}{b-a}\\\\\frac{f(0)-f(-3)}{0-(-3)}\\\\\frac{[2(0)+10]-[2(-3)+10]}{0-(-3)}\\\\\frac{[10]-[-6+10]}{3}\\\\\frac{[10]-[4]}{3}=\frac{6}{3}=2](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D%5C%5C%5C%5C%5Cfrac%7Bf%280%29-f%28-3%29%7D%7B0-%28-3%29%7D%5C%5C%5C%5C%5Cfrac%7B%5B2%280%29%2B10%5D-%5B2%28-3%29%2B10%5D%7D%7B0-%28-3%29%7D%5C%5C%5C%5C%5Cfrac%7B%5B10%5D-%5B-6%2B10%5D%7D%7B3%7D%5C%5C%5C%5C%5Cfrac%7B%5B10%5D-%5B4%5D%7D%7B3%7D%3D%5Cfrac%7B6%7D%7B3%7D%3D2)
Therefore, the average rate of change of the function, over the given interval is 2.
Learn more about average rate of change: brainly.com/question/23715190
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