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pal23
21.02.2021 •
Mathematics
A box with no top is to be constructed from a piece of cardboard whose length measures 6 inches more than its width. The box is formed by cutting squares that measure 2 inches on each side from the four corners and then folding up the sides. If the volume of the box will be 14 in^3, what are the dimensions of the piece of cardboard?
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Ответ:
This is not possible
W = width of cardboard to start with
W+6 = length of cardboard to start with
H =2 (height of finished box)
volume = W x L x H = 14 in^3
if H=2 in, then the area of the base before cutting out the 2x2 corners is W x L = 7 in^2
This is not enough area to cut out the 4 corners of 2x2 each, which would be 16 in^2
Ответ:
L=Length
Two equations
1) W+6=L
2) (W-4)*(L-4)*2=14
Solve
(W-4)*(W+6-4)*2=14
(W-4)*(W+2)*2=14
(W-4)*(W+2)=7
W^2-2W-8=7
W^2-2W-15=0
Factor
(W-5)*(W+3)=0
W-5=0
W=5
L=W+6
L=5+6
L.=11
Answer
W=5
L=11
Ответ:
Gross pay $62,000
Medical insurance $3,400
Paid time off $8,000
Retirement $2,700
Job expenses $800
Total employee benefits he will receive: $14900
Company B offers:
Gross pay $60,000
Employee benefits will be 25% of gross pay which is equivalent to $15000
Phillipe should accept the job offered from Company A. He'll received a good amount of compensation and benefits based on the numbers above. His gross pay is bigger in Company A rather than in B. I hope this answer helps.