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kramer
3 years ago
11

Suppose you have a right triangle with congruent legs and a hypotenuse that measure (12√5)/5. What is the length of the smaller

leg? Round to the nearest hundredth
Mathematics
1 answer:
hammer [34]3 years ago
8 0

Answer:

5.4 is the length

Step-by-step explanation:

5.333 - (12√5)/5 - round to nearest hundreth (5.4)

length total 5.4

Thanks and Rate my Answer Please!

You might be interested in
What is the answer too n+ 2 = -14-n ?
Irina18 [472]

Answer:

n = -8

Step-by-step explanation:

n + 2 = -14 - n

+n              + n                Add n to both sides

2n + 2 = -14

     - 2     - 2                   Subtract 2 from both sides

2n = -16                          Divide both sides by 2

n = -8

If this answer is correct, please make me Brainliest!

7 0
3 years ago
Orthogonally diagonalize the​ matrix, giving an orthogonal matrix P and a diagonal matrix D. To save​ time, the eigenvalues are
alexgriva [62]

Answer:

P=\left(\begin{array}{ccc}-\frac{2}{3}&-\frac{2}{3}&\frac{1}{3}\\\frac{1}{\sqrt{5}}&0&\frac{2}{\sqrt{5}}\\-\frac{4}{3\sqrt{5}}&\frac{\sqrt{5}}{3}&\frac{2}{3\sqrt{5}}\end{array}\right)

Step-by-step explanation:

It is a result that a matrix A is orthogonally diagonalizable if and only if A is a symmetric matrix.  According with the data you provided the matrix should be

A=\left(\begin{array}{ccc}-9&-4&2\\ -4&-9&2\\2&2&-6\\\end{array}\right)

We know that its eigenvalues are \lambda_{1}=-14, \lambda_{2}=-5, where \lambda_{2}=-5 has multiplicity two.

So if we calculate the corresponding eigenspaces for each eigenvalue we have

E_{\lambda_{1}=-14}=\langle(-2,-2,1)\rangle,E_{\lambda_{2}=-5}=\langle(1,0,2),(-1,1,0)\rangle..

With this in mind we can form the matrices P, D that diagonalizes the matrix A so.

P=\left(\begin{array}{ccc}-2&-2&1\\1&0&2\\-1&1&0\\\end{array}\right)

and

D=\left(\begin{array}{ccc}-14&0&0\\0&-5&0\\0&0&-5\\\end{array}\right)

Observe that the rows of P are the eigenvectors corresponding to the eigen values.

Now you only need to normalize each row of P dividing by its norm, as a row vector.

The matrix you have to obtain is the matrix shown below

3 0
3 years ago
A wallet is originally $11.00. With a 40% discount, what is the sales price?
Leviafan [203]

Answer:

$6.60

Step-by-step explanation:

11 x .40 = 4.4

11 - 4.4 = 6.6

6 0
3 years ago
Read 2 more answers
the volume of a rectangular pyramid is 192 cubic units. if it's dimensions are reduced to one-fourth their original lemgth. what
vekshin1
We know that
scale factor=1/4
so
volume of the smaller pyramid=[scale factor]³*volume original pyramid
volume original pyramid=192 unit³
volume of the smaller pyramid=[1/4]³*192---> (1/64)*192----> 3 units ³

the answer is

3 units³

4 0
3 years ago
A red kangaroo jumps along at 40 km/h. At this rate how long would it take to jump 2 km?
LenKa [72]

 

The solution would be like this for this specific problem:

Given:  40 km/h

2 km

t = d / v
t = 2 km / 40 km/h
t = 0.05 h * 60 minutes = 3 minutes

 

<span>At this rate, it would take 3 minutes for the red kangaroo to jump 2 km.</span>
7 0
3 years ago
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