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Answered on 16 May Learn Chapter 9 - The Bond of Love
Deepika Agrawal
"Balancing minds, one ledger at a time." "Counting on expertise to balance your knowledge."
Answered on 16 May Learn Chapter 9 - The Bond of Love
Deepika Agrawal
"Balancing minds, one ledger at a time." "Counting on expertise to balance your knowledge."
Pets Should Be Kept By Those Who Understand Their Needs
Animals are also God's creation; they have sensitivity and emotions. They are wonderful creatures with so many agreeable qualities. Animals feel pain and pleasure, and have emotions. Those who have kept pets in their life know animals feel pain and pleasure.
read lessAnswered on 18 Apr Learn Sphere
Nazia Khanum
Problem Solving: Finding Height and Total Surface Area of a Cylinder
Given Information:
Step 1: Finding the Height of the Cylinder
The formula for the volume of a cylinder is given by: V=πr2hV=πr2h
Where:
Substituting the given values: 2002=π×(7)2×h2002=π×(7)2×h
2002=49π×h2002=49π×h
h=200249πh=49π2002
Now, calculate the value of hh:
h≈200249×3.14h≈49×3.142002
h≈2002153.86h≈153.862002
h≈12.99 cmh≈12.99cm
So, the height of the cylinder is approximately 12.99 cm12.99cm.
Step 2: Finding the Total Surface Area of the Cylinder
The formula for the total surface area of a cylinder is given by: A=2πrh+2πr2A=2πrh+2πr2
Where:
Substituting the given values: A=2π×7×12.99+2π×(7)2A=2π×7×12.99+2π×(7)2
A=2π×7×12.99+2π×49A=2π×7×12.99+2π×49
A=2π×90.93+98πA=2π×90.93+98π
A=181.86π+98πA=181.86π+98π
A=279.86πA=279.86π
Now, calculate the value of AA:
A≈279.86×3.14A≈279.86×3.14
A≈878.66 cm2A≈878.66cm2
So, the total surface area of the cylinder is approximately 878.66 cm2878.66cm2.
Conclusion:
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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.
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.
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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
Perimeter Calculation for Rectangle with Given Area
Given Information:
Step 1: Determine the Dimensions
To calculate the perimeter of a rectangle, we need to know its length and width. We can find these dimensions using the area provided.
Step 2: Factorize the Area
Factorize the given quadratic expression 25x2−35x+1225x2−35x+12 to find its factors, which represent the possible lengths and widths of the rectangle.
Step 3: Use Factorization to Find Dimensions
Once the quadratic expression is factorized, identify the pairs of factors that, when multiplied, give the area of the rectangle. These pairs represent possible lengths and widths.
Step 4: Calculate Perimeter
With the length and width of the rectangle known, calculate the perimeter using the formula:
Perimeter=2×(Length+Width)Perimeter=2×(Length+Width)
Step 5: Finalize
Plug in the values of length and width into the perimeter formula to obtain the final result.
Let's proceed with these steps to find the perimeter.
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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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