The perimeter of the park is 3x^2 + 37x - 4
<h3>How to determine the perimeter?</h3>
The side lengths of the triangular park are:
10x + 3x^2 - 8, 12x and 15x + 4
Add these sides to determine the perimeter
P = 10x + 3x^2 - 8 + 12x + 15x + 4
Collect the like terms
P = 3x^2 + 10x + 12x + 15x - 8 + 4
Evaluate the sum
P = 3x^2 + 37x - 4
Hence, the perimeter of the park is 3x^2 + 37x - 4
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Answer:
The area of the figure is 63.25 square feet
Step-by-step explanation:
we know that
The area of the figure is equal to the area of semicircle plus the area of triangle
step 1
Find the area of semicircle
The area of semicircle is
we have
----> the radius is half the diameter
substitute
step 2
Find the area of the triangle
The area of triangle is equal to
we have
substitute
step 3
The area of the figure is equal to
substitute
Answer:
93.6 Miles
Step-by-step explanation:
A decagon has 10 sides (think decade and decathlon). From the center of the decagon we draw the radii and in doing so we take the area of the decagon and divide it into 10 congruent Triangles.
The angles around the center add up to 360 because they form a circle and since there are 10, they each measure 36 degrees. So the answer to the first part (the angle between the radii) is 36 degrees.
Each of these triangles has two equal sides (both radii) so is Isosceles. That means that the base angles are congruent. So the two angles that are left in each triangle must measure the same. Since the angles in a triangle add up to 180 degrees, we know that the two remaining angles are together equal to 180-36=144 degrees. Since they are equal in measure they each measure 72 degrees.
Thus the answer to the second part, trhe measure of the angle between a radius and the side of the polygon is 72 degrees.
answer it is right at right write L.C.M
