I am repeating again the solution, although I don't think there was a mistake:
0.36 (with the bar over 36) means the number under the is repeating itself, we call it a recurring decimal.
So 36 ,with a bar over 36 means: 0.3636363636....
To write any recurring decimal in a fraction, you have to multiply & divide at the same, the number with 100 , if you choose 0.36 or with 10,000 if you choose 0.3636 or with 1,000,000 if you choose 0.363636 (note that the number of Zeros equal the number of chosen decimals.
In our example let's take 0.3636 , then we multiply it by 10,000 & divide it by same: (0.3636 x 10,000) = 3636/10,000 =1,818/5,000 = 909/2500 =0.3636
If you opt to render 0.363636 into a fraction, then you have to multiple the latter number & divide it by 1,000,000
Answer:
Base= 5.09 cm x 5.09 cm; height = 1.69 cm
Step-by-step explanation:
-> materials has a square base of side length, dimension will be: x . x = x²
'y' represents height
->For dimensions of 4 silver plated sides= xy each
->dimensions of the nickel plated top= x²
Volume = yx²
44=yx² => y= 44/x²
Cost of the sides will be( 4 * xy * $3 )
Cost of the top and the bottom will be (2 * x² * $1)
For the Total cost: 12xy + 2x²
substituting value of 'y' in above equation,
=> Total cost = 12x (44/x²) + 2x² = 528 / x + 2x²
To Minimum critical point => d [cost] / dx = 0
=> - 528/x² + 4x =0
132/x² - x =0
132 - x³ = 0
x³ = 132
Taking cube root on both sides
∛x³ = ∛(132)
x= 5.09
=> y = 44/5.09² =>1.69
Dimensions of the box :
Base= 5.09 cm x 5.09 cm; height = 1.69 cm
Answer:
312
Step-by-step explanation:
5*4=20*2=40
4*17*4=272
272+40=312
B
This is because the segement IK contains 2 parts of the total 5 parts in which the segment IJ has been divided. Therefore, multiplying by 2/5 will help Douglas find the x-coordinate of K.
