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4 years ago

Why does the library have so many floors

Mathematics

2 answers:

satela [25.4K]4 years ago

4 0

That's because it has a lot of books

Lorico [155]4 years ago

3 0

Answer:

because it has lots of stories

Step-by-step explanation:

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Denise is building a fence around her 18ft by 34 foot rectangular garden. She put a post at each corner, put some posts along th

tigry1 [53]

Answer:

The greatest possible distance between each post and the next post is 17 ft

Step-by-step explanation:

Please find the attached document

3 0

3 years ago

1. Solve the following simultaneous equations using the matrix method.

dmitriy555 [2]

(i) Use the formula for the determinant of a 2×2 matrix.

$\begin{vmatrix}a&b\\c&d\end{vmatrix} = ad-bc$

$\implies \det(A) = \begin{vmatrix}4 & -3 \\ 2 & 5\end{vmatrix} = 4\times5 - (-3)\times2 = \boxed{26}$

(ii) The adjugate matrix is the transpose of the cofactor matrix of A. (These days, the "adjoint" of a matrix X is more commonly used to refer to the conjugate transpose of X, which is not the same.)

The cofactor of the (i, j)-th entry of A is the determinant of the matrix you get after deleting the i-th row and j-th column of A, multiplied by $(-1)^{i+j}$ . If C is the cofactor matrix of A, then

$C = \begin{pmatrix}5&-2\\3&4\end{pmatrix}$

Then the adjugate of A is the transpose of C,

$\mathrm{adj}(A) = C^\top = \boxed{\begin{pmatrix}5&3\\-2&4\end{pmatrix}}$

(iii) The inverse of A is equal to 1/det(A) times the adjugate:

$A^{-1} = \dfrac1{\det(A)} \mathrm{adj}(A) = \boxed{\begin{pmatrix}\frac5{26}&\frac3{26}\\\\-\frac1{13}&\frac2{13}\end{pmatrix}}$

(iv) The system of equations translates to the matrix equation

$A\begin{pmatrix}x\\y\end{pmatrix}=\begin{pmatrix}6\\16\end{pmatrix}$

Multiplying both sides on the left by the inverse of A gives

$A^{-1}\left(A\begin{pmatrix}x\\y\end{pmatrix}\right)=A^{-1} \begin{pmatrix}6\\16\end{pmatrix}$

$\left(A^{-1}A\right)\begin{pmatrix}x\\y\end{pmatrix}=A^{-1} \begin{pmatrix}6\\16\end{pmatrix}$

$\begin{pmatrix}x\\y\end{pmatrix}=\begin{pmatrix}\frac5{26}&\frac3{26}\\\\-\frac1{13}&\frac2{13}\end{pmatrix} \begin{pmatrix}6\\16\end{pmatrix}$

$\begin{pmatrix}x\\y\end{pmatrix}=\boxed{\begin{pmatrix}3\\2\end{pmatrix}}$

4 0

2 years ago

Please help me ASAP

Liula [17]

I would say answer choice 1. It’s the only one that makes sense.

I hope this helps! Let me know if you have any questions! Good luck on the rest of your assessment!

Mark this as Brainliest if you get a chance:)

6 0

3 years ago

Read 2 more answers

Rotation definition math

Varvara68 [4.7K]

Answer: a circular movement

Step-by-step explanation: rotation has a central point that stays fixed and everything else moves around that point in a circle.

EX) a full rotation is 360

8 0

3 years ago

A decimal rounded to the nearest hundredth is 6.32.This decimal is greater than 6.32

Salsk061 [2.6K]

Hi there!

First of all we need to remember the number 6.32.

It could be any of the following:
6.323 OR 6.324

We are rounding UPPP! If you were to round down it would be 6.32 or less.

Hope this helped!

5 0

3 years ago

Read 2 more answers