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Juli2301 [7.4K]
2 years ago
11

What is the square root of 129

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
7 0
If you are allowed to use a calculator then you only need to press the buttons. 

Assuming you cannot use a calculator you need to use approximation techniques. First let us begin by finding the two closest numbers that are perfect squares. In this case 11^2 and 12^2 are the closest square numbers to 129. 

11^2 = 121
12^2 = 144
We can already tell that the square root of 129 is closer to 11 than to 12. 
Now we need to get even closer.
If you try squaring a number like 11.5 then you can get even closer to 129. When you square 11.5 you get 132.25. Already you can tell that the square root of 129 is close to the square root of 132.25 or 11.5
Now we can get even closer square the number 11.25 and keep on going until one of these numbers when squared is almost or exactly 129. I hope I helped, there really isn't a great way to do this without a calculator, or by using the graph of y=x^2
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QUICK!
pochemuha
So,

In order to find numbers that are in between 3/8 and 6/7, Lucy must make common denominators first.

LCM of 8 and 7: 56

Multiply each fraction by the appropriate form of 1:
\frac{3}{8} *  \frac{7}{7}\ AND \  \frac{6}{7} *  \frac{8}{8}

\frac{21}{56}\ AND\  \frac{48}{56}

We can immediately see that any fraction with a numerator between 21 and 48 and a denominator of 56 will fit into the criteria Lucy needs.

The correct option is B.
4 0
3 years ago
Read 2 more answers
I have tried so hard and I cant figure thus out. The. entire problem needs to be finished, this is worth 20 points.
bija089 [108]

Answer:

No the ramp doesn’t meet the law. The slope is 4/50 which is 1/12.5

The slope of the ramp doesn’t meet the law because it’s slope is greater than 1/12. To adjust the ramp so that it meets the law, you could increase the height and/or the horizontal length to increase the slope so it is less than 1/12.


Step-by-step explanation:


5 0
3 years ago
I need help with my Khan Acadmey work I don’t Understand any of it. Can someone help me Please
ohaa [14]

Answer:

x = 36

Step-by-step explanation:

144 + x = 36

*it's same side interior angles*

6 0
3 years ago
Find the directional derivative of the function at the given point in the direction of the vector v. G(r, s) = tan−1(rs), (1, 3)
alexandr1967 [171]

The <em>directional</em> derivative of f at the given point in the direction indicated is \frac{5}{2}.

<h3>How to calculate the directional derivative of a multivariate function</h3>

The <em>directional</em> derivative is represented by the following formula:

\nabla_{\vec v} f = \nabla f (r_{o}, s_{o})\cdot \vec v   (1)

Where:

  • \nabla f (r_{o}, s_{o}) - Gradient evaluated at the point (r_{o}, s_{o}).
  • \vec v - Directional vector.

The gradient of f is calculated below:

\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{\partial f}{\partial r}(r_{o},s_{o})  \\\frac{\partial f}{\partial s}(r_{o},s_{o}) \end{array}\right]   (2)

Where \frac{\partial f}{\partial r} and \frac{\partial f}{\partial s} are the <em>partial</em> derivatives with respect to r and s, respectively.

If we know that (r_{o}, s_{o}) = (1, 3), then the gradient is:

\nabla f(r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{s}{1+r^{2}\cdot s^{2}} \\\frac{r}{1+r^{2}\cdot s^{2}}\end{array}\right]

\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{1+1^{2}\cdot 3^{2}} \\\frac{1}{1+1^{2}\cdot 3^{2}} \end{array}\right]

\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right]

If we know that \vec v = 5\,\hat{i} + 10\,\hat{j}, then the directional derivative is:

\nabla_{\vec v} f = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right] \cdot \left[\begin{array}{cc}5\\10\end{array}\right]

\nabla _{\vec v} f (r_{o}, s_{o}) = \frac{5}{2}

The <em>directional</em> derivative of f at the given point in the direction indicated is \frac{5}{2}. \blacksquare

To learn more on directional derivative, we kindly invite to check this verified question: brainly.com/question/9964491

3 0
2 years ago
50 POINTS! PLEASE HELP!
Sauron [17]
X² -3x - 4
x        -4
x         1 

(x-4) (x + 1)

your answer is C.x - 4

hope this helps
7 0
3 years ago
Read 2 more answers
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