Answer:
The answer to your question is:
Step-by-step explanation:
Statement Reason
1.- ---- ----
2.- m∠1 + m∠2 = 180° -----
3.- ----- -----
4.- ------ Definition of bisector
5.- m∠1 + m∠3 = 180° Substitution property of equality
6.- ----- -----
The answer is 6 with a remainder of 4
Answer:
x = -7/5
Step-by-step explanation:
If we square both sides of the equation, we get:
Then, solving for x, we get:
So, x is equal to -7/5
The volume of the remaining material once the hole has been drilled to the nearest cubic millimeter is 3010mm³.
<h3>What is a cylinder and a square prism?</h3>
A square prism is simply a 3-dimensional shape figure with square bases and the other four faces are rectangular in shape.
The volume of a square prism is expressed as;
V = a²h
A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Given the data in the question and image below.
For the square prism;
For the cylinder;
- Radius r = diameter/2 = 20mm/2 = 10mm
- Height h = 35mm
- Constant pi π = 3.14
Now, the volume of tthe remaining material once the hole has been drilled will be;
V = Volume of the square prism - volume of the cylinderical hole
V = ( a² × h ) - ( π × r² × h)
V = ( (20mm)² × 35mm ) - ( 3.14 × (10mm)² × 35mm)
V = 14000mm³ - 10990mm³
V = 3010mm³
Therefore, the volume of the remaining material once the hole has been drilled to the nearest cubic millimeter is 3010mm³.
Learn more on volume of cylinder here: brainly.com/question/16788902
#SPJ1
1/2 foot is 6 inches.
Brenda has to divide that 6 inches up into slices that are 2/3 inch thick.
If she uses a saw that has no thickness and makes no sawdust, she can get
(6) ÷ (2/3) = (6) · (3/2) = (18 / 2) = 9 slices out of the 6-inch post.
