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kow [346]
3 years ago
5

Find the missing side length to the nearest tenth of a millimeter.

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

Answer:

A = 4.7

Step-by-step explanation:

To find the missing leg, use this formula:

a = \sqrt{c^2 - b^2}

----------------------------------------------------------------------------------------------------------------

Have a good day :)

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Find an equation for the plane that is tangent to the surface z equals ln (x plus y )at the point Upper P (1 comma 0 comma 0 ).
alexira [117]

Let f(x,y,z)=z-\ln(x+y). The gradient of f at the point (1, 0, 0) is the normal vector to the surface, which is also orthogonal to the tangent plane at this point.

So the tangent plane has equation

\nabla f(1,0,0)\cdot(x-1,y,z)=0

Compute the gradient:

\nabla f(x,y,z)=\left(\dfrac{\partial f}{\partial x},\dfrac{\partial f}{\partial y},\dfrac{\partial f}{\partial z}\right)=\left(-\dfrac1{x+y},-\dfrac1{x+y},1\right)

Evaluate the gradient at the given point:

\nabla f(1,0,0)=(-1,-1,1)

Then the equation of the tangent plane is

(-1,-1,1)\cdot(x-1,y,z)=0\implies-(x-1)-y+z=0\implies\boxed{z=x+y-1}

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4 years ago
If you were to roll the dice one time what is the probability it will land on 4
vovangra [49]

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Step-by-step explanation: To find the probability of rolling a 4, let's use our ratio for the probability of an event which is shown below.

Number of favorable outcomes/total number of outcomes

Since only one side of a number cube has a 4 on it, the number of favorable outcomes for rolling a 4 is 1 and since there are six sides to a number cube and it's equally likely that the cube will land on any of these sides, the total number of outcomes is 6.

So the probability of rolling a 4 is 1/6 which is equivalent

to 0.167 or 16.7%.

That means it is't likely that you would roll a 4 for instance but it's just as likely as rolling any other number.

3 0
4 years ago
Read 2 more answers
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sveta [45]
Here is a picture of the graph.

8 0
3 years ago
A quadrilateral has four right angles. What figure could it be?
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The answer would be rectangle and a square
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nikitadnepr [17]

I think that O would be greater because the last numbers listed are 100 and 101 and O has the ending value of 101, which is greater than 100, so it only makes sense that O would be a greater number than E.

Hope this helps! ;)

4 0
3 years ago
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