3 years ago

Which fraction is closer to 1 than 0? 3 8 5 10 7 12 6 14

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

7 0

Answer:

$7/12$

Step-by-step explanation:

$3/8=0.375$

$5/10=0.5$

$7/12 \approx 0.58333333333$

$6/14 \approx 0.42857142857$

Therefore, 7/12 is the closest to 1 than 0.

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An open rectangular box is 4 feet long and has a surface area of 20 square feet. Find the dimensions of the box for which the vo

sweet-ann [11.9K]

SA=2H(L+W)+LW for open box
20=2H(4+W)+4(W)
distribute
20=8H+2WH+4W
divide both sides by 2
10=4H+WH+2W
solve for 1 variable, pick W
10-4H=WH+2W
10-4H=W(H+2)
(10-4H)/(H+2)=W

V=LWH
subsitute 4 for V, subsitute H for H and (10-4H)/(H+2) for W
V=(4)(H)(10-4H)/(H+2)
V=(40H-16H²)/(H+2)
find max value
take deritivitive of this thing
V'=-16(H²+4H-5)/((H+2)²)
using sign chart
sign changes from positive to negative at H=1

so at H=1
find W

W=(10-4H)/(H+2)
W=2

the dimeionts are

length=4ft
width=2ft
height=1ft
(the volume is 8 cubic feet)

3 0

3 years ago

Write a vector equation of the line that passes through point P(-4,11) and is parallel to a=[-3,8]. Then write parametric equati

Assoli18 [71]

Answer:

$\vec l = (-4, 11) + t\cdot (-3,8)$ , $x = -4 - 3\cdot t$ and $y = 11 + 8\cdot t$