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Oliga [24]
3 years ago
8

A house painter was told by his boss to purchase enough paint to cover 75 square feet to finish a project. The house painter hap

pens to know that the surface is square. How long is each of side of the surface? (Recall that the area of a square is calculated by 2003-04-02-00-00_files/i0160000.jpg, where l is the length of one side.)
A.
2003-04-02-00-00_files/i0160001.jpg feet
B.
2003-04-02-00-00_files/i0160002.jpg feet
C.
2003-04-02-00-00_files/i0160003.jpg feet
D.
2003-04-02-00-00_files/i0160004.jpg feet
Mathematics
2 answers:
Rama09 [41]3 years ago
7 0
It must be noted that the area of the square is calculated through the equation,
                                    A = s²
where A is area and s is the measure of one side of the square. 
To determine the measure of one side of the square, we simply have to get the square root of the area,
                                               s = √A
Substituting the known value,
                                                s = √75 ft² = 5√3 ft ≈ 8.66 cm
Thus, the answer to this question is approximately 8.66 cm. 
irakobra [83]3 years ago
6 0

Answer: B.

Step-by-step explanation:

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5 0
3 years ago
A manufacturer has a monthly fixed cost of $110,000 and a production cost of $14 for each unit produced. The product sells for $
vova2212 [387]

Answer:

Cost function C(x) == FC + VC*Q

Revenue function R(x) = Px * Q

Profit function P(x) =(Px * Q)-(FC + VC*Q)

P(12000) = -38000 Loss

P(23000) = 28000 profit

Step-by-step explanation:

Total Cost is Fixed cost plus Variable cost multiplied by the produce quantity.  

(a)Cost function

C(x) = FC + vc*Q

Where  

FC=Fixed cost

VC=Variable cost

Q=produce quantity

(b)

Revenue function

R(x) = Px * Q

Where  

Px= Sales Price

Q=produce quantity

(c) Profit function

Profit = Revenue- Total cost

P(x) =(Px * Q)-(FC + vc*Q)

(d) We have to replace in the profit function

<u>at 12,000 units </u>

P(12000) =($20 * 12,000)-($110,000 + $14*12,000)

P(12000) = -38000

<u>at 23,000 units </u>

P(x) =($20 * 23,000)-($110,000 + $14*23,000)

P(23000) = 28000

5 0
3 years ago
Greg is trying to solve a puzzle where he has to figure out two numbers, x and y. Three less than two-third of x is greater than
Fittoniya [83]
Inequation 1: 

\frac{2}{3}x-3 \geq y

to plot the pairs (x, y) for which the inequation holds, draw the line y=\frac{2}{3}x-3

then pick a point in either side of the line. If that point is a solution of the inequation, than color that region of the line, if that point is not a solution, then color the other part of the line.

we do the same for the second inequation. Then the solution, is the region of the x-y axes colored in both cases.

inequation 2: 

y+ \frac{2}{3}x\ \textless \ 4

y\ \textless \ - \frac{2}{3} x+ 4&#10;


draw the lines 

i)  y=\frac{2}{3}x-3          use points (0, -3),  (3, -1)

ii)y=- \frac{2}{3} x+ 4       use points ( 0, 4),   (3, 2)


let's use the point P(3, 3) to see what region of the lines need to be coloured:

\frac{2}{3}x-3 \geq y  ; 
\frac{2}{3}(3)-3 \geq 3
2-3 \geq 3, not true so we color the region not containing this point


y+ \frac{2}{3}x\ \textless \ 4
(3)+ \frac{2}{3}(3)\ \textless \ 4
3+ 5\ \textless \ 4 not true, so we color the region not containing the point (3, 3)

The graph representing the system of inequalities is the region colored both red and blue, with the blue line not dashed, and the red line dashed.



4 0
4 years ago
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