Answer:
49,000 square cm
Step-by-step explanation:
To get the area of the dilated rectangle, we need the dilated dimensions
We simply multiply the scale factor by the dimensions
we have this as;
3.5 * 50 = 175 cm
and
3.5 * 80 = 280 cm
The area of the dilated rectangle is thus;
280 * 175 = 49,000 cm^2
Step-by-step explanation:
x² − 4x = 0
To complete the square, take half of the second coefficient, square it, then add the result to both sides.
(-4/2)² = 4
x² − 4x + 4 = 4
(x − 2)² = 4
x − 2 = ±2
x = 2 ± 2
x = 0 or 4
so hmmm is compound interest, now, we'll be assuming the compounding period is per year, or annually, so it happens once per year.
<span>pennies = 0.01 $
nickels = 0.05 $
dimes = 0.1 $
quarters = 0.25 $
We must write the system of equations that best suits this problem and solve it:
Let:
x = pennies
y = nickels
z = dimes
w = quarters
Writing the equations
0.01x + 0.05y + 0.1z + 0.25w = 3.71
I have twice as many dimes as nickels
z = 2y
two more nickels than quarters
y = w + 2
three fewer pennies than three times the number of nickels
x = 3y-3.
Solving the system of equations:
x = 21
y = 8
z = 16
w = 6
answer
He has
21 pennies
8 nickels
16 dimes
6 quarters
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