Perimeter is all the sides added up together.
Divide 16 by 2, so that you can get just a measurement of the length and the width.
16/2 = 8
Since the length is 5.25, subtract that by 8.
8-5.25 = 2.75
The width of the phone is 2.75 inches.
The value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.
<h3>How to determine the dimensions?</h3>
The given parameters are:
Base = 5(x+3)
Height = 2(x+9)
Perimeter = 108
The perimeter of a rectangle is
P = 2 *(Base + Height)
So, we have:
2 *(5(x + 3) + 2(x + 9)) = 108
Divide both sides by 2
5(x + 3) + 2(x + 9) = 54
Open the brackets
5x + 15 + 2x + 18 = 54
Evaluate the like terms
7x = 21
Divide by 7
x = 3
Substitute x = 3 in Base = 5(x+3) and Height = 2(x+9)
Base = 5(3+3) = 30
Height = 2(3+9) = 24
Hence, the value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.
Read more about perimeter at:
brainly.com/question/24571594
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Answer:
1/6 ,1/6, 1/24, no events A and B are not independent events.
Step-by-step explanation:
Answer:
They have the same slope
Step-by-step explanation:
Given
Coaster 1:
![Drops = 140ft](https://tex.z-dn.net/?f=Drops%20%3D%20140ft)
![Run = 40ft](https://tex.z-dn.net/?f=Run%20%3D%2040ft)
Coaster 2:
![Drops = 105ft](https://tex.z-dn.net/?f=Drops%20%3D%20105ft)
![Run = 30ft](https://tex.z-dn.net/?f=Run%20%3D%2030ft)
First, we calculate the slope (m) of both coasters
![m = \frac{Rise}{Run}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7BRise%7D%7BRun%7D)
![m = \frac{Drops}{Run}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7BDrops%7D%7BRun%7D)
For coaster 1:
![m = \frac{140ft}{40ft}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B140ft%7D%7B40ft%7D)
![m = \frac{140}{40}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B140%7D%7B40%7D)
![m = 3.5](https://tex.z-dn.net/?f=m%20%3D%203.5)
For coaster 1:
![m = \frac{105ft}{30ft}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B105ft%7D%7B30ft%7D)
![m = \frac{105}{30}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B105%7D%7B30%7D)
![m = 3.5](https://tex.z-dn.net/?f=m%20%3D%203.5)
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<em>By comparison, they have the same slope</em>
Based on the lengths of the given triangles and the length of segment BD, the length of segment AD is 22.20.
<h3>What is the length of segment AD?</h3>
The triangle ABC is a right angled triangle with segment AB being the hypothenuse.
We can therefore find this length using the Pythagoras Rule:
Hypothenuse ² = a² + b²
Hypothenuse ² = 28.6² + 23.2²
Hypothenuse ² = 1,356.20
Hypothenuse = √1,356.20
= 36.83
Length of AD:
= AB - BD
= 36.83 - 14.60
= 22.2
Find out more on the Pythagorean theorem at brainly.com/question/343682.
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