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Tatiana [17]
4 years ago
6

there is a box that has a volume of 120 cubic inches. it is 2 inches thick and must have a 184 surface area. (there is no top to

this box) what are the dimensions of the box please explain how you got there
Mathematics
1 answer:
nikitadnepr [17]4 years ago
3 0
V=LWH
W=2
120=V
120=L2H
divide by 2
60=LH

SA
2 pairs of same sides
1 bottom

SA=2(LH+WH)+LW
we know that W=2 so
SA=2(LH+2H)+2L
exanded
SA=2LH+4H+2L

we need to solve for 1 variable to eliminate it
60=LH
divide both sides by L
60/L=H
sub 60/L for H

SA=2L(60/L)+4(60/L)+2L
SA=2(60)+(240/L)+2L
SA=120+(240/L)+2L
SA=184
184=120+(240/L)+2L
multiply both sides by L
184L=120L+240+2L²
minus 184L both sides
0=2L²-64L+240
factor
0=2(L²-32L+120)
use quadratic formula
L=16-2√34 or 16+2√34

the dimentions are (aprox)
Legnth=4.3381, Width=2, Height=13.831 or
Legnth=27.6619, Width=2, Height=2.1691
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3 years ago
Given 3 sides of a triangle - how to tell it right, acute, or obtuse 8,11, 16
user100 [1]
Using Pythagorean theorem, we can justify our answer.
if c^2 = a^2 + b^2 then triangle is right one,
if c^2 > a^2 + b^2 then triangle is obtuse and
if c^2 < a^2 + b^2 then triangle is acute triangle.

Here a=8, b=11 and c=16
Put these values in the equation
16^2 = 8 ^2 + 11^2
256 = 64 +121
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So here c^2 > a^2 + b^2  Which means triangle is obtuse triangle.

Answer: Obtuse Triangle


6 0
3 years ago
Can you guys please help me? Thanks!
olga2289 [7]
you are correct, it is one to two
4 0
3 years ago
Im solving variables i need to simplify -5x + 3 (x+5) = -3
victus00 [196]

Answer:

x=9

Step-by-step explanation:

Add similar elements: -5x+3x=-2x

-2x+15=-3

Subtract 15 from both sides

-2x + 15-15=-3-15

Simplify

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Divide both sides by -2

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Simplify

x=9

8 0
3 years ago
Read 2 more answers
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