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3 years ago

Find the circumference of the pizza to the nearest whole number. (7 in)

Mathematics

2 answers:

vredina [299]3 years ago

6 0

Answer:

43.96 in

Step-by-step explanation:

7×2×3.14=43.96

lina2011 [118]3 years ago

5 0

Answer:

The circumfrence is 154 inches.

C = π r^2

C = π 7^2

C = π 49

C = 153.938

C = 154 inches

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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

The product of 4 and 1/6 is _

Elis [28]

Answer:

2/3

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

the fastest elevators in the Burj Khalifa can travel 330 feet in just 10 seconds how far does the elevator travel in 11 seconds

iVinArrow [24]

Answer:

363 feet

Step-by-step explanation:

330 ft / 10 seconds = 33 ft per second

33 * 11 seconds = 363 feet

6 0

2 years ago

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Rhett decides to build a square room for his movie and music collection. If the area of the room is 9x2 − 6x + 1 square feet, wh

Marina86 [1]

If the area of the room is 9x2 − 6x + 1 square feet, then the length of one<span> side of the room is <span>(3x − 1) feet. </span></span>The correct answer between all the choices given is the third choice or letter C. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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3 years ago

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if grace and claire parents each invested 7,600 into college saving account when the girls were born how much money will each gi

Mrrafil [7]

Answer:

7,600

Step-by-step explanation:

both parents invest 7,600.

7,600x2= 15,200

there are 2 girls so divide 15,200 by 2 and u get 7,600

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2 years ago