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Lesson Posted on 13 Jun Learn Mathematics
Mathemathics Pro Question for 9th to 12th students .
Savita
Student-focused educational professional with two years of demonstrated experience in helping students...
which one is greater ?
6√10 , 3√4, 2√5
Hind to solve this question : take LCM and then find greater
Question ask in CGL , CHSL , Bank PO .
Question type : Surds and its type .
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Answered on 18 Apr Learn Sphere
Nazia Khanum
Problem Analysis:
Solution:
Determine Area Covered by Each Revolution:
Calculate Total Area Covered:
Convert Area to Square Meters:
Determine Cost of Levelling:
Final Calculation:
Detailed Calculation:
Final Answer:
The cost of levelling the playground at Rs. 2 per square meter is Rs. [insert calculated value].
Answered on 18 Apr Learn Sphere
Nazia Khanum
To find the cost of the cloth required to make a conical tent, we'll need to:
Solution:
Step 1: Calculate Slant Height (l)
Given:
Using Pythagoras theorem, we can find the slant height (l) of the cone: l=r2+h2l=r2+h2
l=72+242l=72+242
l=49+576l=49+576 l=625l=625
l=25 ml=25m
Step 2: Find Total Surface Area of the Tent
Total surface area (A) of a cone is given by: A=πr(r+l)A=πr(r+l)
A=π×7×(7+25)A=π×7×(7+25) A=π×7×32A=π×7×32 A≈704 m2A≈704m2
Step 3: Determine Length of Cloth Required
Given:
The length of cloth required will be equal to the circumference of the base of the cone, which is: C=2πrC=2πr
C=2π×7C=2π×7 C≈44 mC≈44m
Step 4: Calculate Cost of Cloth
Given:
The cost of cloth required will be: Cost=Length of cloth required×Rate of clothCost=Length of cloth required×Rate of cloth
Cost=44×50Cost=44×50 Cost=Rs.2200Cost=Rs.2200
Conclusion:
The cost of the 5 m wide cloth required at the rate of Rs. 50 per metre is Rs. 2200.
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Answered on 18 Apr Learn Sphere
Nazia Khanum
Calculate the number of lead balls that can be made from a sphere of radius 8 cm, with each ball having a radius of 1 cm.
Solution:
Step 1: Calculate Volume of Sphere
Step 2: Calculate Volume of Each Lead Ball
Step 3: Determine Number of Lead Balls
Step 4: Conclusion
Answered on 18 Apr Learn Real Numbers
Nazia Khanum
Visualizing numbers on a number line can be a helpful technique to understand their placement and relationship to other numbers. Let's explore how we can visualize the number 3.765 using successive magnification.
Identify the Initial Position:
First Magnification:
Second Magnification:
Final Visualization:
Visualizing numbers on the number line using successive magnification helps in understanding their precise location and relationship to other numbers. By breaking down the intervals into smaller parts, we can accurately locate decimal numbers like 3.765 on the number line.
Answered on 18 Apr Learn Real Numbers
Nazia Khanum
Adding Radical Expressions
Introduction: In mathematics, adding radical expressions involves combining like terms to simplify the expression. Radical expressions contain radicals, which are expressions that include square roots, cube roots, etc.
Problem Statement: Add 22+5322
+53 and 2−332−33
.
Solution: To add radical expressions, follow these steps:
Identify Like Terms:
and 22
and −33−33
Combine Like Terms:
Write the Result:
+53 and 2−332−33 is:
+23
Conclusion: The addition of 22+5322
+53 and 2−332−33 simplifies to 32+2332+23
.
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Answered on 18 Apr Learn Linear equations in 2 variables
Nazia Khanum
Graphing the Equation x + 2y = 6
To graph the equation x+2y=6x+2y=6, we'll first rewrite it in slope-intercept form (y=mx+by=mx+b):
x+2y=6x+2y=6 2y=−x+62y=−x+6 y=−12x+3y=−21x+3
Plotting the Graph
To plot the graph, we'll identify two points and draw a line through them:
Intercept Method:
Slope Method: From the slope-intercept form y=−12x+3y=−21x+3, the slope is -1/2, meaning the line decreases by 1 unit in the y-direction for every 2 units in the x-direction.
Plotting the Points and Drawing the Line
Using the intercepts and the slope, we plot the points (0, 3) and (-6, 0), then draw a line through them.
Finding the Value of x when y = -3
Given y=−3y=−3, we substitute this value into the equation y=−12x+3y=−21x+3 and solve for x:
−3=−12x+3−3=−21x+3 −12x=−3−3−21x=−3−3 −12x=−6−21x=−6 x=−6×(−2)x=−6×(−2) x=12x=12
Conclusion
Answered on 18 Apr Learn Linear equations in 2 variables
Nazia Khanum
Understanding Linear Equations: Linear equations are fundamental in mathematics, representing straight lines on a coordinate plane. They're expressed in the form of ax+b=0ax+b=0, where aa and bb are constants.
Identifying Axis: In the context of linear equations, the term "axis" typically refers to either the x-axis or the y-axis on a Cartesian plane.
Analyzing the Equation: The linear equation provided is x−2=0x−2=0.
Finding the Axis: To determine which axis the given linear equation is parallel to, let's analyze the equation:
Equation Form:
Solving for x:
Interpretation:
Conclusion: The linear equation x−2=0x−2=0 is parallel to the y-axis.
Answered on 18 Apr Learn Polynomials
Nazia Khanum
Problem Statement: Find the value of x2+y2x2+y2, given x+y=12x+y=12 and xy=32xy=32.
Solution:
Step 1: Understanding the problem
Step 2: Solving the equations
Step 3: Finding the values of xx and yy
Step 4: Finding corresponding values of yy
Step 5: Calculating x2+y2x2+y2
Step 6: Presenting the solution
Final Answer:
This structured approach helps in solving the problem systematically, ensuring accuracy and clarity.
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Answered on 18 Apr Learn Polynomials
Nazia Khanum
Given:
To Find:
Approach:
Step-by-Step Solution:
Find x3+y3+z3x3+y3+z3:
Find (x+y)(y+z)(z+x)(x+y)(y+z)(z+x):
Substitute values into the expression:
Final Answer:
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