The least amount of money that should be budgeted to paint the monument is $1692.
<h3>Least amount of money that should be budgeted</h3>
First step
Using Pythagorean theorem to find the surface area
Since POR is a right triangle
Hence:
PO=20
BR=12
OR=12
PR=√20²+12²
PR=400+144
PR=544
Area of PBC=1/2×24×√544
Area of PBC=12√544
Lateral surface area=4×12√544
Lateral surface area=48√544
Lateral surface area=1119.54²ft
Second step
Since regular paint is 2 coats 200 sq. ft per gallon
Hence:
Number of gallons=1119.54×2/200
Number of gallons= 11.2 gallons
11.2×35= 392
1119.54/80=13 gallons
13×100 =1300
Last step
Least amount=392+1300
Least amount= $1692
Therefore the least amount of money that should be budgeted to paint the monument is $1692.
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Answer:
The equation of a parallel line would be y = 2x + 4
Step-by-step explanation:
In order to find the equation of this line, we first have to note that paralell lines have same slopes. Therefore, since the original line has a slope of 2, we know the new line will have a slope of 2. Now we can use that information along with the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 8 = 2(x - 2)
y - 8 = 2x - 4
y = 2x + 4
Answer: 
is parallel to 
Step-by-step explanation:
<h3>
The complete exercise is: "Is parallel, perpendicular or neither to ?
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The equation of the line in Slope-Intercept form is:
Where "m" is the slope of the line and "b" is the y-intercept.
First, in order to solve this exercise it is important to remember that, by definition:
1. The slopes of parallel lines are equal.
2. The slopes of perpendicular lines are negative reciprocal.
In this case, you have the following line given in the exercise:
You can identify that "m" and "b" are:
And the other line provided in the exercise is this one:
So, you can identify that:
As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.
Answer:
Step-by-step explanation:
We know by definition that the cosine is an even function, therefore
We also know that the sin is an odd function, therefore
By definition:
Then:
Using these trigonometric properties we can simplify the expression
Answer:
B
Step-by-step explanation:
4*60=240
240/13.7*25=437
