Answer:
Check below
Step-by-step explanation:
1) Check the rectangle below with a line k, the axis of rotation in the center of the figure.
2) Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created it is a cylinder. As you can see below.
3) Let's calculate its radius, based on the information given, i.e. the perimeter:

Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 5.
Answer:
The line plot should have 6 dots on the 12 tick mark, 2 on 13, and 6 on 16.
3x + 24 = (3)(x) + (3)(8)
You can see that there is multiplier 3 near x and 8. You can factor it and make
3x + 24 = 3(x + 8)
So, the answer is 3. Hope this helps!
Answer:
The quadrilateral shown on the graph is most likely to be a square.
Choice A
Step-by-step explanation:
All the sides appear to be equal which is a characteristic of squares.
Secondly, the sides appear to be intersecting at right angles
Finally, the sides appear to be parallel to each other.
Use Pythagorean Theorem:
a² + b² = c²
"a" is one side of the right triangle.
Its length is: radius of larger circle minus radius of smaller circle: (11 - 3 = 8)
The distance between the center of the circles creates the hypotenuse (17)
8² + b² = 17²
b² = 225
b = 15
Answer: the length of the common external tangent is 15.