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.
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The mean is the highest peak. The question mention if 1 standard deviation is the distance between mean to the line. Therefore one standard deviation above the mean is 40. And the 2 standard deviation below is 10.
The division is one of the four fundamental arithmetic operations. The rent of the flat for each month will be Rs. 30,000.
<h3>What is Division?</h3>
Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that the rent of the flat for one year is Rs. 3,60,000. Since a year has 12 months. Therefore, the rent for each month will be,
![\rm \text{Rent for one month} = \dfrac{Rs.\ 3,60,000}{12} = Rs.\ 30,000](https://tex.z-dn.net/?f=%5Crm%20%5Ctext%7BRent%20for%20one%20month%7D%20%3D%20%5Cdfrac%7BRs.%5C%203%2C60%2C000%7D%7B12%7D%20%3D%20Rs.%5C%2030%2C000)
Hence, the rent of the flat for each month will be Rs. 30,000.
Learn more about Division:
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Answer: -2m - 3n
Step-by-step explanation:
a(m+n)/a(−2n−m) = 1/ax
<u />
<u>Rewrite the equation as 1/ax = am+n/a−2n−m.</u>
1/ax = am+n/a−2n−m
<u>Take the natural logarithm of both sides of the equation to remove the variable from the exponent.</u>
ln( 1/ax ) = ln ( am+n/a^{−2n−m})
<u>Expand the left side.</u>
−x ln(a) = ln (am+n/a^{−2n−m})
<em><u>Expand the right side.</u></em>
−x ln (a) = (m + n) ln (a) − (−2n − m) ln (a)
<u>Simplify (m + n) ln (a) − (−2n − m) ln (a).</u>
−x ln (a) = 2m ln (a) + 3n ln (a)
<u>Move all the terms containing a logarithm to the left side of the equation.</u>
−x ln (a) −2m ln (a) − 3n ln (a) = 0
<u />
<u>Move all terms not containing x to the right side of the equation.</u>
−x ln (a) = 2m ln (a) + 3n ln (a)
<u>Divide each term by −1 ln (a) and simplify.</u>
x = −2m − 3n
pls give brainliest :)
Answer:
False
Step-by-step explanation:
The set of numbers that include 0 plus the set of counting numbers. Which also includes 1-Infinity. Example....1,2,3,4, etc.