Answer:
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Answer:
<h2>c=15m+40</h2>
Step-by-step explanation:
Step one:
given data
charged = $40 call fee
additional charges= $15 per mile
let the number of miles be m
and let the total charges be c
Required, the linear function which represents the total charges
Step two:
the equation for the charges in slope-intercept form is
c=15m+40
Answer:
It will take 39.27 gallons to repaint the barn.
Step-by-step explanation:
The image of the setup is obtained from online and attached to this solution.
The rectangular prism is a cuboid of
Length = 84 ft
Breadth = 38 ft
Height = 20 ft
And the triangular prism on top of the rectangular prism has a vertical height of 12 ft.
The surface area of the composite structure that is available for painting include the 4 sides of the top triangular prism and the four sides of rectangular prism
Two of the faces of the triangular prism are triangles with base of 38 ft and height of 12 ft.
The other two faces of the triangular prism are rectangles with length 84 ft and breadth of the hypoteneuse of the right angled triangle on top.
B² = 12² + 19²
B = 22.47 ft
Total Surface area of the faces of the rectangular prism is then
2×(84×20) + 2×(38×20) = 4880 ft²
Total surface area of the faces of the triangular prism is then
2×(0.5×12×38) + 2×(84×22.47) = 4,230.96 ft²
Total surface area = 4880 + 4230.96 = 9110.96 ft²
1 gallon of paint = 232 ft²
x gallons of paint = 9110.96 ft²
x = (1×9110.96/232) = 39.27 gallons.
Hope this Helps!!!
Answer:
1/12
Step-by-step explanation:
There are 12 sides, and 7 is one of them. Therefore, there is a 1/12 chance of it landing on that side if it is a fair cube.
Rotation and reflection are instances of transformation
See attachment for the new position of 
From the question, we have:


The rule of 90 degrees clockwise rotation is:

Using the above transformation, the new points would be



The next transformation is reflection over the x-axis
The rule of this transformation is:

So, the new points would be:



See attachment for the new points
Read more about transformation at:
brainly.com/question/11709244