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kozerog [31]
3 years ago
8

A 40​-foot piece of siding is cut into three pieces so that the second piece is four times as long as the first piece and the th

ird piece is five times as long as the first piece. If x represents the length of the first​ piece, find the lengths of all three pieces.
Mathematics
1 answer:
xeze [42]3 years ago
3 0

Answer:

4 ft , 16 ft & 20 ft

Step-by-step explanation:

40 = x + 4x + 5x = 10x --> x = 4

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Frank purchased a new ice box having 2kg capacity. He wants it to be full with ice cubes. He measured the ice cubes to be 3.5 cm
salantis [7]

Answer:

Frank can put 5 cubes in the box.

Step-by-step explanation:

Formula:

Mass = Volume × density.

1 cubic centimetre = 0.001 liter= 1 millilitre

Given that,

Frank purchase a new ice box having 2 kg capacity.

So,the mass of the cubes is 2 kg.

Each ice cubes measured 3.5 cm by 3.5 cm by 3.5 cm.

The volume of a cube is = Side ^3

The volume of a each ice cubes is =3.5^3 cm³

                                                        = 42.875 ml

The ice cubes have a density of 0.914 g/ml

The mass of each cubes are

=volume of each ice cubes × density

=42.875 ml ×0.914 g/ml

=39.18775 gram.

Let x number of ice cubes he can put in the box.

The mass of x cubes is = 39.18775x grams.

2 kg= 2,000 gram [ since 1 kg= 1000 gram]

According to the problem,

39.18775x=2,000

\Rightarrow x=\frac{2000}{39.18775}

\Rightarrow x\approx 51

Frank can put 5 cubes in the box.

5 0
3 years ago
Help me pls, question is on the picture
Zinaida [17]

Answer:

I just learned this about a few weeks ago I hope this helps.

Step-by-step explanation:

Since it's cosine you're only looking at Adjacent and the hypotenuse which the adj is 20 and the hyp is 25 so since cosine is adj/hyp you do 20/25 then simplify it to 20/25 divide both by 5 so it's simplified to 4/5.

Then you do Cos-1(4/5)=36.869 which is rounded to the tenth 36.9 but rounded to the hundredth 36.87.

Hope this helps

6 0
2 years ago
I have to pack 296 apples into 8 boxes. How many apples will there be in a box if each box contains the same number of apples
kirill115 [55]

Answer:

37

Step-by-step explanation:

296÷8=37

Hope this helps! :)

8 0
3 years ago
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What is the rule for 5,10,20,40,80
Rom4ik [11]

The rule is that after the first term, every term after that is made out of
the smallest power of 2 that hasn't been used yet, with a zero after it.


7 0
3 years ago
Which of the following tables represents a function? (PLEASE HELP!)
frez [133]
Last one is your answer.
X cannot be repeated, but y can
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3 years ago
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