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:
3x + 2y = 38, 3a + 2b = 38
Step-by-step explanation:
An equation may be defined as a statement that shows two mathematical expressions to be equal. It is to equate one thing to another thing.
In the context, two different equations for the situations are :
i). Let the shirt be represented by x
And the socks be represented by y
Therefore, according to the question,
3x + 2y = 38
ii). Let the shirt be represented by a
And the socks be represented by b
Therefore, according to the question,
3a + 2b = 38
First, convert 23% into a fraction.
23% =
Now the expression to determine 23% of 122 is
Answer:
Both lines are not parallel
Step-by-step explanation:
Given as :
Two lines equation are as :
3y - 5x = 9 And y = - 
x - 12
First line is now written in eq y = mx + c
Or, 3y = 5x + 9
Or, y = x + 
So, Slop of this line ( m 1 ) =
slop of second line ( m 2) is 
∵ The slop of both lines are not equal , so the line are not parallel to each other .
Hence Both lines are not parallel Answer
27^10-9^14
=3^30 - 3^28
=3^28 (3^2-1)
=3^28 ·8
=2^27 ·3·8
=3^27 · 24 is divisible by 24
