Answer:
x...third number
4x...second number
x-9...first number
(x)+(4x)+(x-9)=141
x+4x+x-9=141
6x-9=141
Let's add 9 to both sides...
9+6x-9=141+9
6x=150
Let's divide both sides by 6...
(6x)/6=150/6
x=25
third number...25
second number...(4)(25)=100
first number...(25-9)=16
Let's check our work...
25+100+16=141
141=141
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
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4=3i ----> (4,3) 6-2i ------> (6,-2)
x1 y1 x2 y2
(4 , 3) (6 , -2) d=√(x2-x1)^2 +(y2-y1)^2
d=√(6-4)^2+(-2-3)^2 -----> d=√2^2+(-5)^2 ----> d=√29
Answer:
3.44
Step-by-step explanation:
3*16=48+7=55 55/16=3.4375
For ax2 + bx + c = 0, the value of x is given by: For the Quadratic Formula to work, you must have your equation arranged in the form "(quadratic) = 0". Also, the "2a" in the denominator of the Formula is underneath everything above, not just the square root. And it's a "2a" under there, not just a plain "2".
