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Vilka [71]
3 years ago
5

?????????????????????????????????????????????????????

Mathematics
1 answer:
Harrizon [31]3 years ago
7 0

Answer:

9 yd

Step-by-step explanation:

A cube consists of 6 square faces.

Divide the surface area by 6 for the area of one face

486 ÷ 6 = 81 yd²

The area of a square is

A = s² ( s is the side length )

Here A = 81, then

s² = 81 ( take the square root of both sides )

s = \sqrt{81} = 9

Thus side length is 9 yd

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Determine the value of x to the nearest thousandth in the equation 8(2)^x+3=48
solong [7]

You probably mean either

8\cdot2^x + 3 = 48

or

8\cdot2^{x+3} = 48

Write 8 = 2³, so that in the first interpretation,

8\cdot2^x = 2^3 \cdot 2^x = 2^{x + 3}

and in the second,

8\cdot2^{x+3} = 2^3 \cdot 2^{x+3} = 2^{x + 6}

Then in the first interpretation, we have

2^{x + 3} + 3 = 48 \implies 2^{x + 3} = 45 \implies x + 3 = \log_2(45) \implies x = \log_2(45) - 3 \approx \boxed{2.492}

Otherwise, the second interpretation gives

2^{x + 6} = 48 \implies x + 6 = \log_2(48) \implies x = \log_2(48) - 6 \approx -0.415

8 0
3 years ago
A) There are 100 students who play at least one of volleyball, soccer and hockey, of these 50 play au three games, 84 play socce
Scilla [17]

Answer:

<h2>i) 3</h2><h2>ii) 5</h2>

Step-by-step explanation:

Let H be the set of students who play Hokey

     V be the set of students who play Volleyball

     S be the set of students who play Soccer

======================================

card(volleyball only) = card(V) - [card(V∩H∩S) + card(V∩H only) + card(V∩S only)]

                                 = 73 - [50 + (58-50) + (62-50)]

                                 = 73 - [50 + 8 + 12]

                                 = 73 - 70

                                 = 3

………………………………………………

Card(Hokey only) = 100 - [3 + 8 + 50 + 10 + 12 + 12]

                              = 100 - 95

                              = 5

…………………

<u><em>Note</em></u> :

A Venn diagram might be helpful in such case.

5 0
2 years ago
A theater has 384 seats. Each row has 16 seats. The area model represents this situation. What is the value of x in the area mod
antoniya [11.8K]

Answer:4

Step-by-step explanation: 64 divided by 16 is 4.y-step explanation

8 0
3 years ago
Read 2 more answers
Which shows the correct solution of the equation + so, when 6-30?
denis23 [38]

Answer:

-24

Step-by-step explanation:

rest 6 minus 30 and it give you -24

6 0
3 years ago
Please help due soon.
Sergeu [11.5K]

Answer:

<h3>9.n 4</h3><h3>10.x -1</h3><h3>11.4x 4</h3><h3>12.p -1</h3>

I hope this helps:D

4 0
3 years ago
Read 2 more answers
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