Answer:
1. A = 2184 yd. P = 212 yd.
Step-by-step explanation:
1. To find the perimeter of an object you need to do this formula: 2L * 2W which is 2 times the length times 2 times the width.
To find the Area you have to do this formula: H * W which means height times width.
2. They would need the area to fill the rectangle since you need to fill it and the area is the inside of the rectangle
3. She will need the perimeter since she is walking around the field and the perimeter is the outside (around) the shape.
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.
Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>
We calculate the cross product as a determinant of (i,j,k) and the normal products
i j k
5 -1 -6
1 1 1
=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>
Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0
Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
Answer:
To transform the given expression to sum of cubes, calculate first the cube root of the terms. The cube root of the first term, 64x^6 is 4x^2 and that of the second term, 27 is 3.
Thus, the answer to this item is the second choice, (4x^2)^3 + 3^3
-Agarvated Team
Answer:(x + 6) + (y + 2)^2 = 13
Step-by-step explanation:
The centre of the circle is halfway along the diameter = (-6, -2)
r^2 = (-4 - -6)^2 + ( 1 - -2)^2 = 2^2 + 3^2 = 13
So circle equation is (x - -6)^2 + (y - -2)^2 = 13