The correct answer should be 7.34*10^-3
Answer:
6
Step-by-step explanation:
Malia : y = 8.1x.....this tells me she makes 8.10 per hr worked
Bill : if he earned 144.90 for working 18 hrs.....144.90/18 = 8.05 per hr worked.
so Malia makes 5 cents more per hr worked.
Is that the answer ur looking for ?
Answer:
The volume of the cylinder is 6,104.16 square meters.
Step-by-step explanation:
Given that a cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height, to determine, using 3.14 for pi, which of the following can be used to calculate the volume of the cylinder, the following calculation must be done, knowing that the volume of a cylinder is determined by multiplying Pi by the height by the radius squared, and that the diameter of a circle is twice its radius:
3.14 x 6 x (6x3) ^ 2 = X
18.84 x 18 ^ 2 = X
18.84 x 324 = X
6,104.16 = X
Therefore, the volume of the cylinder is 6,104.16 square meters.
Answer: The area of the rectangle is: " 77 m² " .
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Note: The formula for the area, "A" of a rectangle:
→ A = L * w ;
in which:
A = "area (of rectangle)" ; [in units of "m² " ; that is: "square meters" ] ;
L = length = "(4 + w)" {in units of "meters (m)" } ;
w = width {in units of "meters (m)" } ;
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So; " A = L * w " ;
Substitute the known expression for the "length, L" ; & rewrite the formula for the given area of OUR area for the rectangle in OUR GIVEN PROBLEM:
→ A = (4 + w) * w '' ;
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Note the formula for the perimeter, "P" ;
→ P = 2L + 2w ;
↔ 2L + 2w = P
→ 2L + 2w = 36 m ;
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We want to find the "area" , "A" :
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Using the formula for the "perimeter, "P" (of the rectangle) ; & given that the perimeter is: "36" (meters) ;
→ 2L + 2w = 36 ;
→ Let us plug in the values for "Length (L)" & "width (w)" ;
→ 2(w + 4) + 2w = 36 ;
So; (2*w) + (2*4) + 2w = 36 ; Solve for "w" ;
→ 2w + 8 + 2w = 36 ;
→ Combine the "like terms" :
+ 2w + 2w = 4w ;
→ And rewrite:
4w + 8 = 36 ;
Now, subtract "8" from EACH SIDE of the equation:
4w + 8 − 8 = 36 <span>− 8 ;
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to get:
4w = 28 ;
Now, divide EACH SIDE of the equation by "4" ;
to isolate "w" on EACH SIDE of the equation ; & to solve for "w" ;
4w / 4 = 28 / 4 ;
→ w = 7 ; → The "width" of the rectangle is: " 7 m " .
Now, we can find the "length" of the rectangle:
The length, "L" , of the rectangle = 4 + w = 4 + 7 = 11 .
→ L = 11 . → The "length" of the rectangle is: " 11 m " .
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Now, we can find the area, "A", of the rectangle.
A = L * w = 11 m * 7 m = " 77 m² " .
→ The area of the rectangle is: " 77 m² <span>" .
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To check our answer:
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→ " P = 2L + 2w " ;
Given that "P = 36 m" ;
Plug in "36 m" (for "P") ; into the equation ;
and plug in our calculated values for
"length, L" (which is "11 m") ; & "width, w" (which is "7 m") ;
to see if the equation holds true ; that is, to see if both sides of the equation are equal ;
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→ 36 m = ? 2L + 2w ?? ;
→ 36 m = ? 2(11 m) + 2(7 m) ?? ;
→ 36 m = ? 22 m + 14 m ?? ;
→ 36 m = ? 36 m ? Yes!
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