8 less a number is less than or equal to 17
2 answers:
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Answer:
Width is 12 inches and height is 4 inches.
Step-by-step explanation:
Let the width of the piece of cardboard be = w inches
Then length is = inches
As given, 4 inch squares are cut from each corner;
So, the width is = inches
Length is = inches
When we are folding the cut portion, that gives the height as = 4 inches
The volume is given by : length x width x height
And volume is given as 256 cubic inches
So,
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We get , ; w = -8(neglect the negative value)
; w = 12 inches
And length = inches
Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches
We can check by putting these values in equation :
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Answer:
- The graph is attached below.
Step-by-step explanation:
Given : A sine function has the following key features:
Period = π , Amplitude = 2, Midline: y = -2 , y-intercept: (0,-2)
The function is a reflection of its parent function over the x-axis.
To plot the graph :
Solution :
General form of sin function is
Where A is the amplitude
C is the midline
Substitute the given key features
A=2 , C=-2
The sin function is
The function is a reflection of its parent function over the x-axis.
i.e, The coordinate became (x,y)→(x,-y)
The sin function is
Now, We plot the graph of the sin function.
The graph is attached below.
First point is midline i.e, (0,-2)
Minimum point is
