Answer: 57 ft²
Step-by-step explanation:
Find the areas of the two individual rectangles and then add that up to find the area of the figure:
Rectangle A: Rectangle B:
= Length * Width = 11.5 * 3
= 7.5 * 3 = 34.5ft²
= 22.5 ft²
Area of figure:
= 22.5 + 34.5
= 57 ft²
If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a <u>parabola</u>.
A parabola is curved from one end and open from other end, therefore it would fit the best.
Hope I could help! :)
Answer:
C. V = two-thirds (27)
Step-by-step explanation:
Given
Solid Shapes: Cylinder and Sphere
Volume of Cylinder = 27π ft³
Required
Volume of the sphere.
From the question,
<u>We have that</u>
1. The volume of the sphere is the same as the volume of the cylinder
2. The height of the sphere is the same as the height of the cylinder.
From (2) above;
This means that the height of the cylinder equals the diameter of the sphere.
Let h represent the height of the sphere and d represent the diameter of sphere.
Mathematical, d = h
Recall that radius, r = 
Substitute h for d in the above expression
. ----- (take note of this)
Calculating the volume of a cylinder.
V = πr²h
Recall that V = 27; This gives us
27 = πr²h
Divide both sides by h

-------------------
Calculating the volume of a sphere

Expand the above expression

Substitute 

Recall that 
So,




V = two-third (27)
Here is a model I have made (I'm not a great artist). There are 42 circles in total, placed in 7 columns. Each column has 6 circles. This model represents 42/7 by splitting 42 into 7 parts, which are the columns, and showing that each column has 6 circles, which is the answer to 42/7.
Answer:
Inequality Form:
x<4
1<4
3<4
-1004<4
Interval Notation:
(−∞,4)
(-1004,4)
(3,4)
(1,4)
Step-by-step explanation: