Answer:
A: 6 triangles with height 10.4 inches each and base 12 inche
B: 62.4 square inches
C: 374.4 square inches
Step-by-step explanation:
Part A: You can form a triangle by connecting E to the top of the segment and connecting the top of the segment to D. Recreating this with each section will create 6 triangles with height 10.4 inches each and base 12 inches.
Part B: The area of a triangle is A = 1/2b*h. Substitute h = 10.4 and b = 12.
A = 1/2*10.4*12 = 62.4
Part C: There are 6 triangles each with area 62.4. So the area of the whole figure will be 6*62.4 = 374.4.
Answer:
D. There is no association because the distribution of genre preferences is the same among the grade groups
Explanation:
Based on this graph, we can conclude that there is no association between grade and genre preference, because the distribution of genre preferences is the same among the grade groups
.
We can see that the 9th and 11th graders have a slightly higher preference for fiction than the 10th and 12th graders. However, this difference is barely noticeable and doesn't affect the conclusion. Most students from every grade prefer fiction to nonfiction, so we can conclude that the genre preference is the same among the grade groups
.
A function is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.
<h3>What is a function?</h3>
A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given function f(x) = |x| - 5 after transaltion of the graph by 2 units left will become g(x) = |x+2| - 5.
The graph of the function is attached with the answer below. In which both functions are graphed.
Therefore, afunction is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.
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Part a) The true inequality statement is: 
Part b) The true inequality statement is: 
Part c) The true inequality is 
Step-by-step explanation:
We are given the two integers are -2 and -5.
Part a)
Write a true inequality statement.
The true inequality statement is: 
Part b)
Subtract-2 from each side of the inequality. Write a true inequality statement.
Subtracting -2 from each side we get:

The true inequality statement is: 
Part c)
Multiply each number by-3. Write a true inequality statement.
Multiplying -3 on both sides:

The true inequality is 
Keywords: Solving inequalities
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Answer:
Width = 4m
Length = 12 m.
Step-by-step explanation:
Let width = x, then length = 3x.
Perimeter
= 2(3x + x) = 32
2 * 4x = 32
x = 32 / 8 = 4 m.
The length = 3*4 = 12m and width = 4 m.