Answer:
Step-by-step explanation:
The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.
The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:
- 4 triangles (corners)
- 3 rectangles (one in the middle, two on top after you remove triangles)
<u>Formulas</u>:
- Area of rectangle with length and width :
- Area of triangle with base and height :
<u>Area of triangles</u>:
All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.
Thus, the total area of one is
The area of all four is then units squared.
<u>Area of rectangles</u>:
The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of units squared, and the both of them have a total area of units squared.
The last rectangle has a width of 7 and a height of 3 for a total area of units squared.
Therefore, the area of the entire octagon is
Answer:
End behaviors are basically what the function looks like as it ends.
as x approaches positive infinity (the sideways 8) its increasing.
for the picture i believe the answer is C.
Step-by-step explanation:
basically because when you look at where the negatives are they continue which means it’s -infinity and so as the function approaches -infinity it’s x —> positive infinity and same thing for as x approaches positive infinity.
Answer:
I believe it's A)
Step-by-step explanation:
Answer:
7/40 feet
Step-by-step explanation:
Solve using proportions:
Find the scale factor by dividing the numerators 25 by 1/8.
25 ÷ 1/8 = 200 This is the common ratio
To get from the top left number to the top right number, you divide 25 by 200.
To get from the bottom left number to the bottom right number, you divide 35 by 200.
35 ÷ 200 = 0.175
1/8 of an inch represents 0.175 feet.
To find 0.175 in fraction form, reduce 35/200 to its lowest terms.
35/200 = 7/40
1/8 of an inch represents 7/40 feet.
2/3 / 1/6
When dividing by a fraction, flip the second fraction over and change divide to multiply:
2/3 x 6/1 = (2 x6) / (3 x 1) = 12/3 = 4
The answer is 4