<h2>
Dimension of box is 2 m x 2 m x 1.33 m</h2>
Step-by-step explanation:
Let a be base side and h be the height.
Volume of box, V = a²h
The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.
That is
4a² + 3 x 4 x a x h = 48
4a² + 12 a x h = 48
a² + 3 ah = 12
So volume is
At maximum volume we have derivative is zero,
Negative side is not possible, hence side of square base is 2m.
Substituting in a² + 3 ah = 12
2² + 3 x 2 x h = 12
h = 1.33 m
Dimension of box is 2 m x 2 m x 1.33 m
The ratio is 14:5, as 42 divided by 3 is 14 and 15 divided by 3 is 5.
Let x be the initial width, then the initial length is x+20.
<span>If Elise decreases this length by 8 feet, she will get the new length x+20-8=x+12.
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If Elise increases the width by 10 feet, <span>she will get the new width x+10.
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</span><span>The new perimeter will be x+12+x+12+x+10+x+10=4x+44=172, 4x=172-44, 4x=128, x=128÷4, x=32.
</span><span>
</span><span>The initial width is 32 ft and the initial length is 32+20=52 ft.
</span><span>
</span><span>The new width will be 32+10=42 ft, the new length will be 32+12=44 ft.
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Answer:
Step-by-step explanation:
1 5/8 = 13/8
so
5/8 + 8/8
10/8 + 3/8
i could go on forever but.
do ya want to impress ya teacher?
500/800 + 800/800
and
2/4 + 4/4
Since these are alternate interior angles, they are equal. So, you would set them equal to each other (-5+13x=60). Then, add 5 to both sides to get 13x=65. Divide 65 by 13 to get the final answer, x=5
