A merry go around has a radius of 18 ft. If a passenger gets on a horse located at the edge of the wheel and travels 38ft, find
1 answer:
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Answer:
a) -4
b) 1
c) 1
Step-by-step explanation:
a) The matrix A is given by:
to find the eigenvalues of the matrix you use the following:
where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:
and by taking the determinant:
and the roots of this polynomial is:
hence, the real eigenvalue of the matrix A is -4.
b) The multiplicity of the eigenvalue is 1.
c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)
Perimeter of window is 192 inches.
Step-by-step explanation:
We are given:
Area of rectangular window = 2160 inches square
Length of rectangular window = 60 inches
Required:
Perimeter of window=?
Formula to find Perimeter is:
We first find width of rectangular window by using formula of area:
Putting values:
So, width = 36 inches
Now finding perimeter:
So, perimeter of window is 192 inches.
Keywords: Perimeter of rectangle
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