We have a triangle whose perimeter is 32 feet. Some information regarding the sides of the triangle is given:
GiveN:
- One side is 3 times the second side.
- Third side is 12 feet longer than the second side.
As we can see that, two sides of the triangle are defined the second sides. It means First and third side can be expressed in the form of second side.
- So let the second side be x
Then,
- First side = 3x
- And, third side = x + 12
We know that, perimeters is the sum of the lengths of all sides of the triangle, So it can be written as:

Solving it further,

Subtracting 12 from both sides,


Dividing 5 from both sides,


Then,
- First side = 3x = 12 feet
- Second side = 4 feet
- Third side = x + 12 = 16 feet
And we are done with the answer !!
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Answer:

Step-by-step explanation:
The picture of the question in the attached figure
step 1
Let
r ---> the radius of the sector
s ---> the arc length of sector
Find the radius r
we know that



solve for r

step 2
Find the value of s

substitute the value of r

step 3
we know that
The area of complete circle is equal to

The complete circle subtends a central angle of 2π radians
so
using proportion find the area of the sector by a central angle of angle theta
Let
A ---> the area of sector with central angle theta

substitute the value of r


Convert to function notation

Answer:
The answer is 20.0855
Step-by-step explanation:
<u>Ca</u><u>l</u><u>c</u><u>ulate the approximate </u><u>value</u>
e³ = 20.0855
Hope this helps you
Answer:
{- 1, 0, 4 }
Step-by-step explanation:
the range is the y- coordinates of the plotted points
the coordinates of the points are
(- 4, - 1 ) , (1, 0 ) , (1, 4 ) with y- coordinates - 1, 0, 4
then range is { - 1, 0, 4 }
Answer:
2 - 3x. I hope this helps!!!