Answer:
C = πd
Step-by-step explanation:
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Yes if u can multiply 10 by 1000 then it is a multiplication fact
Answer:
Length = 13
x = 80
Step-by-step explanation:
Question One
Let the width = x
Let the length = x + 5
Area = 104
<u>Equation</u>
Area = L * W
Area = (x+5)*x
<u>Solution</u>
x ( x + 5) = 104 Remove the brackets
x^2 + 5x = 104 Subtract 104 from both sides.
x^2 + 5x - 104 = 104 - 104
x^2 + 5x - 104 = 0 Factor the equation
(x + 13)(x - 8) = 0
Only x - 8 = 0 works
x = 8
The width = 8
The Length = 8 + 5 = 13
Question Two
Draw AP
<BAP = 20o The triangle (APB) is isosceles: 2 sides are radii
<BPA = 180 - 20 - 20 The three angles of a triangle = 180
<BPA = 140 Combine
Similarly <CAP = 140 Go through exactly the same steps.
<BPA + <CAP + X = 360 The total of the 3 angles in the center = 360
140 + 140 + X = 360 Combine
280 + X = 360 Subtract 280 from both sides.
x = 80
Answer:
Remember, a homogeneous system always is consistent. Then we can reason with the rank of the matrix.
If the system Ax=0 has only the trivial solution that's mean that the echelon form of A hasn't free variables, therefore each column of the matrix has a pivot.
Since each column has a pivot then we can form the reduced echelon form of the A, and leave each pivot as 1 and the others components of the column will be zero. This means that the reduced echelon form of A is the identity matrix and so on A is row equivalent to identity matrix.
Answer:
5x + 4
Step-by-step explanation: