The length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.
<h3>What is triangle inequality theorem?</h3>
Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
(a+b)>c
(b+c)>a
(c+a)>b
There is a triangular playground. The measurements of two sides of a triangular playground are 24 feet and 30 feet.
Suppose the length of the measurement of the third side of the triangular playground is <em>c</em> meters.
As the two sides are 24 ft and 30 ft long. Thus, by the triangle inequality theorem,
![24+30 > c\\54 > c](https://tex.z-dn.net/?f=24%2B30%20%3E%20c%5C%5C54%20%3E%20c)
For the sides 24 ft and c ft,
![24+c > 30\\c > 30-24\\c > 6](https://tex.z-dn.net/?f=24%2Bc%20%3E%2030%5C%5Cc%20%3E%2030-24%5C%5Cc%20%3E%206)
Thus, the length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.
Learn more about the triangle inequality theorem here;
brainly.com/question/26037134
Answer:
the answer is the 2nd one :)
Step-by-step explanation:
R= 18
d=r(2)
36=r(2)
36/2=r(2)/2
18=r
Answer:
Equation
Step-by-step explanation:
A statement that the values of two mathematical expressions are equal (indicated by the sign =).
^^ This is the definition of equation
Difference in size, degree, circumstances, etc.; lack of equality.
^^ This is the definition for Inequality
The question moves more toward equation than inequality.
Answer:
The option that no represent a linear function is ![f(x)=3^x](https://tex.z-dn.net/?f=f%28x%29%3D3%5Ex)
Step-by-step explanation:
we know that
The graph of a linear function is a straight line
The equation of a linear function in slope intercept form is equal to
![f(x)=mx+b](https://tex.z-dn.net/?f=f%28x%29%3Dmx%2Bb)
where
m is the slope
b is the y-intercept
<u><em>Verify each case</em></u>
option 1) we have
![f(x)=3x-2](https://tex.z-dn.net/?f=f%28x%29%3D3x-2)
This option represent a linear function
where
m=3
b=-2
option 2) we have
![f(x)=x](https://tex.z-dn.net/?f=f%28x%29%3Dx)
This option represent a linear function
where
m=1
b=0
This option represent a linear direct variation function
option 3) we have
![f(x)=3^x](https://tex.z-dn.net/?f=f%28x%29%3D3%5Ex)
This option not represent a linear function
This option represent a exponential function
option 4) we have
![f(x)=3x](https://tex.z-dn.net/?f=f%28x%29%3D3x)
This option represent a linear function
where
m=3
b=0
This option represent a linear direct variation function