Answer:
65°
Step-by-step explanation:
x = 180 - 44 - (180-109) = 109 - 44 = 65°
A teacher has 4 More Than Peach packs to share with her students, with 48 crayons in TOTAL. She wants to divide the crayons equa
1 answer:
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Question 36.
Given the function:
Let's graph the function.
Let's graph the function using desmos, then label the following:
• 1. Points of inflection
,• 2. Critical points
,• 3. Local extremes
• 4. Asymptotes
• The inflection points are the points the function changes concavity.
,• The local minimum is the point where the minimum value is obtained.
,• The critical point is the point the function changes direction.
• There is no vertical or horizontal asymptote.
ANSWER:
• The inflection points are the points the function changes concavity.
,• The local minimum is the point where the minimum value is obtained.
,• The critical point is the point the function changes direction.
• There is no vertical or horizontal asymptote.
There are several ways to answer this. All involve finding a way to calculate the area of shapes we're familiar with and using those areas to find the area of this unusual shape. I've included three different ways, all of which yield the same total area.
In the first case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AE. That will give you a square and a trapezoid. The area of the square is (2 m)(5 m) = 10 m², and the area of the trapezoid is (0.5)(9 m - 5 m)(4 m + 4 m - 2 m) = 12 m². So the area of the entire shape is 10 m² + 12 m² = 22 m².
In the second case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AB. That will give you a rectangle and a triangle. The area of the rectangle is (2 m)(9 m) = 18 m². The area of the triangle is (0.5)(4 m - 2 m)(9 m - 5 m) = 4 m². So the area of the entire shape is 18 m² + 4 m² = 22 m².
In the third case, you can imagine that this shape is a piece of a larger rectangle with sides 4 m and 9 m with an area of 36 m². The area of this shape would be the difference between 36 m² and the area of the imaginary trapezoid that fills in rest of the rectangle. That trapezoid would have an area of (0.5)(4 m - 2 m)(9 m + 5 m) = 14 m². So the area of the shape given would be 36 m² - 14 m² = 22 m².
In any case, the area of the shape is 22 m².
