Write an expression to show the perimeter of the rectangle. Then find the

Mathematics

2 answers:

arsen [322]3 years ago

8 0

Answer:

8y-2

Step-by-step explanation:

Zanzabum3 years ago

8 0

Answer:8y-2

Step-by-step explanation:

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A sphere with a radius of 4.8 centimeters is carved out of a right cone with a base radius of 8 centimeters and a height of 15 c

emmainna [20.7K]

Volume of the cone = 1/3 pi r^2 h = 1005.31 cm^3

Volume of the sphere = 4/3 pi r^3 = 463.25 cm^3

Volume of remaining portion of the cone = 1005.31 - 463.25

= 542.1 cm^3 to nearest tenth

4 0

3 years ago

Read 2 more answers

For waht values of x do the vectors -1,0,-1), (2,1,2), (1,1, x) form a basis for R3?

DaniilM [7]

<h2>Answer:</h2>

The values of x for which the given vectors are basis for R³ is:

$x\neq 1$

<h2>Step-by-step explanation:</h2>

We know that for a set of vectors are linearly independent if the matrix formed by these set of vectors is non-singular i.e. the determinant of the matrix formed by these vectors is non-zero.

We are given three vectors as:

(-1,0,-1), (2,1,2), (1,1, x)

The matrix formed by these vectors is:

$\left[\begin{array}{ccc}-1&2&1\\0&1&1\\-1&2&x\end{array}\right]$

Now, the determinant of this matrix is:

$\begin{vmatrix}-1 &2 & 1\\ 0& 1 & 1\\ -1 & 2 & x\end{vmatrix}=-1(x-2)-2(1)+1\\\\\\\begin{vmatrix}-1 &2 & 1\\ 0& 1 & 1\\ -1 & 2 & x\end{vmatrix}=-x+2-2+1\\\\\\\begin{vmatrix}-1 &2 & 1\\ 0& 1 & 1\\ -1 & 2 & x\end{vmatrix}=-x+1$