Width: x
Length: 2x
Perimeter=2x+2x+x+x=6x
32 cm more than width means x+32
6x=x+32
5x=32
x=6.4
Dimension is 6.4×12.8 (width×length)
Answer:
The area of cylinder 949.536 in²
Step-by-step explanation:
Points to remember
Curved surface area of cylinder = 2πrh
Where r - radius of cylinder
h - Height of cylinder
<u>To find the area of cylinder</u>
Here r = diameter/2 = 6.3/2 = 3.15 in
h = 48 in
Area = 2πrh
= 2 * 3.14 * 3.15 * 48
= 949.536 in²
Therefore area of cylinder 949.536 in²
Answer:
FALSE
Step-by-step explanation:
the correct answer is FALSE
A matrix is said to be orthogonal when it is multiplied by its own transpose then the matrix comes out to be Identity.
the basic condition for a matrix to be diagonalizable is that the matrix should be symmetric.
but an orthogonal matrix is not necessarily symmetric so, the statement is false.
If the line segment is perpendicular to a line with the slope of -4, that means the line segment has a slope of 1/4.
First let's make an equation for the line segment using the slope of 1/4 and the point at (2,6) to find the final piece, the y-intercept
y = mx + b
6 = 1/4(2) + b
6 = 2/4 + b
24/4 = 2/4 + b
22/4 = b
y = 1/4 x + 22/4
6 = 1/4(2) + 22/4
6 = 2/4 + 22/4
6 = 24/4
6 = 6 <-- proves that this equation is correct
Now you may plug in the x to find y. ( 8 , y )
y = 1/4(8) + 22/4
y = 8/4 + 22/4
y = 30/4 = 15/2 = 7.5
