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vfiekz [6]
2 years ago
15

Cho tam giác ABC đều cạnh a. Khi đó vectorAb+vectorAC  bằng:

Mathematics
1 answer:
Nikolay [14]2 years ago
6 0

Answer:

a\sqrt{3}

Step-by-step explanation:

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There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes ther
rodikova [14]

Answer: a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) The coins are worth of 91 dollars i.e. $91 in the piggy bank.

Explanation:

Since we have given that

For every 2 nickels there are 3 dimes ,

So, their ratio will be 2:3

and for every 2 dimes there are 5 quarters.\,

So, their ratio will be 2:5

Now, we'll first find the ratio of nickles to dimes to quarters i.e.

Nickle  Dimes  Quarters

2            3

             2               5

So, it becomes ,

Nickle : Dimes : Quarters

2×2     : 3×2        : 3×5

4         : 6            :  15

Now, let the number of nickle be 4x

Let the number of dimes be 6x

Let the number of quarters  be 15x

According to question,

4x+6x+15x=500\\\\25x=500\\\\x=\frac{500}{25}=20

So, number of nickels is given by

4x=4\times 20=80

Number of dimes is given by

6x=4\times 20=120

Number of quarters is given by

15x=4\times 20=300

As we know that

1\ nickel=5\ cents\\\\1\ dime=10\ cents\\\\1\ quarter=25\ cents

So, According to our question, we get

80\times 5+120\times 10+300\times 25=400+1200+7500=9100\ cents\\\\1\ cent=0.01\ dollar\\\\9100\ cents=9100\times 0.01\ dollars=91\ dollars.

Hence,

a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) the coins are worth of 91 dollars i.e. $91 in the piggy bank.


7 0
2 years ago
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