The figure consists of a triangle and two rectangles.
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Top Triangle:
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Height = 22 - 10 - 7 = 5cm
Base = 20 - 5 - 5 - 10cm
Area of triangle = 1/2 x 5 x 10 = 25 cm²
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Middle Rectangle:
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Length = 10cm
Width = 7cm
Area = 10 x 7 = 70 cm²
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Bottom Rectangle:
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Length = 20 cm
Width = 10 cm
Area = 20 x 10 = 200 cm²
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Total Area:
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Area = 25 + 70 + 200 = 295 cm²
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Answer: Area = 295 cm²
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Answer:
x + 8
Step-by-step explanation:
x + 5 + 3.
add the numbers
↓
x + 8
The slope-intercept form:
The formula of a slope:
We have the points (-4, 47) and (2, -16). Substitute:
Therefore we have:
Put the coordinates of the point (2, -16) to the equation:
Answer: 
Answer:
Option C) 113.0 feet squared
Step-by-step explanation:
We are given the following in the question:
Radius of circular garden = 4 feet
Length of path around garden = 2 feet
We have to find the total area of garden and path.
The garden and path together makes a bigger circle with radius
Area of garden and path =
Putting values, we get,
Thus, the correct answer is
Option C) 113.0 feet squared
Answer:
x = 6 or x = -7
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + x - 42 = 0
The left hand side factors into a product with two terms:
(x - 6) (x + 7) = 0
Split into two equations:
x - 6 = 0 or x + 7 = 0
Add 6 to both sides:
x = 6 or x + 7 = 0
Subtract 7 from both sides:
Answer: x = 6 or x = -7
