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just olya [345]
3 years ago
6

(Giving 100 pts, help fast!!!) Four congruent square pieces with lengths of sides of 6 cm were cut out of corners of a square pi

ece of cardboard. Then this piece of cardboard was folded into an open-top box. Find the original dimensions of the piece of cardboard if the volume of the resulting box is 486 cm3.
Mathematics
2 answers:
Tamiku [17]3 years ago
5 0

Answer:

21x21 cm

Step-by-step explanation:

Volume =whl

Given: V=486, and h=6, and w=l

So we can it into this equation: 486=6(l^2)

to solve we isolate the variable by dividing each side by factors that don't contain the variable.

which therefore l = 9

Then we add 6(height) +9(l)+6(width)

6+9+6=21 therefore the sides of cardboard are 21 cm × 21 cm

Vesnalui [34]3 years ago
4 0

Answer:

21cm^2

Step-by-step explanation:

V=B*h

B=(x-12)^2

h=6

(x-12)^2*6=486

Solve using quadratic equation and you get 21 and 3.

3 doesn't work so it is 21

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I hope this helps you



Volume =17×1,3×8


Volume =176,8
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2 years ago
Express the ratio as a fraction in the lowest term.500m:1km​
snow_lady [41]

Step-by-step explanation:

500:1000

500/500:1000/500(both divided by 500-

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7 0
2 years ago
Can we please have some help
Natalka [10]
I believe A=2 and B=6, sorry if I’m wrong
3 0
2 years ago
Show that (x+1) is a factor of f(x)=19x^42+18x-1
Dmitry_Shevchenko [17]

Answer:

see explanation

Step-by-step explanation:

If (x + 1) is a factor then f(- 1) = 0

f(- 1) = 19(-1)^{42} + 18(- 1) - 1 = 19 - 18 - 1 = 0

Thus (x + 1) is a factor of f(x)

6 0
2 years ago
Dora has 10 seashells and plans to add 2 shells every week. Jerri has 4 seashells and plans to add 5 shells every week. Which sy
Mariulka [41]

Answer:

Let x represents the week and y represents the seashells

As per the statement:

Dora has 10 seashells and plans to add 2 shells every week.

"2 shells every week" means 2x

⇒y = 10 + 2x

It is also given, Jerri has 4 seashells and plans to add 5 shells every week.

"5 shells every week" means 2x

⇒ y = 4 + 5x

The system of equation would be used:

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Since, the girls have the same number of seashells

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Therefore, the number of weeks would it be before the girls have the same number if seashells is, 2 weeks.

3 0
3 years ago
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