Answer:46
Step-by-step explanation:Regular polygons are shapes made of straight lines with certain relationships among their lengths. For instance, a square has 4 sides, all the same length. A regular pentagon has 5 sides, all the same length. For these shapes, there are formulas for finding the area. But for irregular polygons, which are made of straight lines of any length, there are no formulas, and you need to be a little creative to find the area. Fortunately, any polygon may be divided into triangles, and there is a simple formula for the area of triangles.
Label the vertices (points) of the polygon starting with 1 at an arbitrary vertex and continuing clockwise around the polygon. There should be as many vertices as there are sides. E.g. for a pentagon (five sides) there will be five vertices.
Draw a line from vertex 1 to vertex 3. This will make one triangle, with vertices 1, 2, and 3. If there are only 4 sides, it will also make a triangle with vertices 1, 3 and 4.If the polygon has more than 4 sides, draw a line from vertex 3 to vertex 5. Continue in this way until you run out of vertices.
Compute the area of each triangle. The formula for the area of a triangle is 1/2 * b * h, where b is the base and h is the height.
Add up the areas, and this is the area of the polygon.
Answer:
+5x-36
Step-by-step explanation:
To multiply binomials there are 2 ways. F.O.I.L., or the box method.
I will use the box method, and I hope it helps you!
After looking at the picture, this is not the answer quite yet.
Subtract 4x from 9x.
9x-4x=5x
So, the answer will be +5x-36
Answer:
1152
Step-by-step explanation:
First we need to find the area of the wall in square inches
8 ft = 8*12 = 96 inch tall
36 ft = 36 * 12 = 432 inches wide
The area = 96 * 432 =41472 in^2
Each ounce of paint cover 72 in^2 so divide by 72
41472/72 =576
We need 576 ounces to cover the wall
At 2 dollars per ounces
576*2 =1152 dollars to paint the wall
Answer:
400 ft
Step-by-step explanation:
h(t)= -16t^2 + 160t
The vertex is found at
h = -b/2a where b is the coefficient of t and a is the coefficient of t^2
= -160/(2*-16)
-160/-32
5
The time where the maximum occurs is at t=5
To find the maximum substitute into the function
h(5) = -16 (5)^2 +160*5
= -16*25 +800
=-400+800
= 400
The maximum height is 400 ft
Answer:
g(x) = 4rx + 4r - 4x - 4
Step-by-step explanation:
g(x)= -(x+1)(r-1)(-4)
