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tekilochka [14]
3 years ago
11

Gcf of 56, 42 and 98

Mathematics
1 answer:
faust18 [17]3 years ago
5 0

Answer:

7

Step-by-step explanation:They all can be divided by 7

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If a=i+7j+k and b=i+11j+k, find a unit vector with positive first coordinate orthogonal to both a and
Scilla [17]
Take the cross product, then normalize the result.

\mathbf a\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\1&7&1\\1&11&1\end{vmatrix}=-4\,\mathbf i+4\,\mathbf k

This has norm

\|\mathbf a\times\mathbf b\|=\sqrt{(-4)^2+4^2}=4\sqrt2

and so a unit vector orthogonal to both given vectors is

\dfrac{\mathbf a\times\mathbf b}{\|\mathbf a\times\mathbf b\|}=-\dfrac1{\sqrt2}\,\mathbf i+\dfrac1{\sqrt2}\,\mathbf k

An equally correct answer would be the negative of this vector, since \mathbf b\times\mathbf a=-\mathbf a\times\mathbf b.
5 0
3 years ago
Determine the volume of the toilet paper roll excluding the empty middle
lora16 [44]

Answer:

150.72

Step-by-step explanation:

3² × 3.14 × 6 - 1² × 3.14 × 6 = (3² - 1²) × 3.14 × 6 = 150.72

6 0
2 years ago
If you bought a stock last year for a price of $68, and it has gone down 6.5% since then how much is the stock worth now, to the
trapecia [35]

Answer:

Step-by-step explanation:

10.4615384615

7 0
2 years ago
Substiution method: y + 9 = 1/5x and
uranmaximum [27]
Y+9=1/5x menjadi y= 1/5x -9
sesudah ini sibtusika n dalam persamaan 4x - 5y = -15x
<span>                                                             4x -5(1/5x-9)= -15 x
                                                             4x + x+45=-15x
                                                             5x +45 = -15x                                                                                                            45=-20x 
                                                              x=-45/20
                                                              x= -9/4
 
 y+9 =1/5x
   y      = 1/5(-9/4)-9
      y     = -189/20
  (-</span>9/4,-189/20)
4 0
3 years ago
A car salesman has 8 used cars for sale. They have a mean price of $4500. What is the total price of all 8 cars?
muminat

Answer:

$36000

Step-by-step explanation:

We have a mean price of $4500 this means that in the 8 cars we have cars with higer and lower prices than $4500 but that if we have to give the same price to 8 cars that would be $4500. Then to know the total price of the all 8 cars we just have to multiply:

\$4500\cdot 8=$36000

7 0
3 years ago
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