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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
Solution:
Step 1: Understand the Problem
To solve this problem, we need to find the ratio of the volumes of two spheres when the radius of one sphere is doubled.
Step 2: Use the Volume Formula for a Sphere
The volume VV of a sphere is given by the formula:
V=43πr3V=34πr3
Where:
Step 3: Determine the Ratios
Let's denote:
Given that the radius of the second sphere is twice the radius of the first sphere, we have:
r2=2r1r2=2r1
Step 4: Calculate the Ratios
Substituting the values into the volume formula, we get:
For the first sphere: V1=43πr13V1=34πr13
For the second sphere: V2=43π(2r1)3V2=34π(2r1)3
Now, we can find the ratio of their volumes:
Ratio of volumes=V2V1=43π(2r1)343πr13Ratio of volumes=V1V2=34πr1334π(2r1)3
=8r13πr13π=r13π8r13π
=81=8=18=8
Step 5: Conclusion
The ratio of the volumes of the two spheres is 8:18:1.
So, when the radius of a sphere is doubled, the ratio of their volumes becomes 8:18:1.
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Answered 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:
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 Real Numbers
Nazia Khanum
Expressing 0.3333… as a Fraction:
Understanding the Repeating Decimal:
Notation:
Multiplying by 10:
Subtracting Original Equation:
Solving for x:
Simplifying the Fraction:
Conclusion:
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Answered on 18 Apr Learn Linear equations in 2 variables
Nazia Khanum
Problem Analysis:
Given the equation 2x−y=p2x−y=p and a solution point (1,−2)(1,−2), we need to find the value of pp.
Solution:
Step 1: Substitute the Given Solution into the Equation
Substitute the coordinates of the given solution point (1,−2)(1,−2) into the equation:
2(1)−(−2)=p2(1)−(−2)=p
Step 2: Solve for pp
2+2=p2+2=p 4=p4=p
Step 3: Final Result
p=4p=4
Conclusion:
The value of pp for the equation 2x−y=p2x−y=p when the point (1,−2)(1,−2) is a solution is 44.
Answered on 18 Apr Learn Linear equations in 2 variables
Nazia Khanum
Graph of the Equation x - y = 4
Graphing the Equation:
To draw the graph of the equation x−y=4x−y=4, we'll first rewrite it in slope-intercept form, which is y=mx+by=mx+b, where mm is the slope and bb is the y-intercept.
Given equation: x−y=4x−y=4
Rewriting in slope-intercept form:
y=x−4y=x−4
Now, let's plot the graph using this equation.
Plotting the Graph:
Find y-intercept:
Set x=0x=0 in the equation y=x−4y=x−4
y=0−4y=0−4
y=−4y=−4
So, the y-intercept is at the point (0,−4)(0,−4).
Find x-intercept:
To find the x-intercept, set y=0y=0 in the equation y=x−4y=x−4.
0=x−40=x−4
x=4x=4
So, the x-intercept is at the point (4,0)(4,0).
Drawing the Graph:
Now, plot the points (0,−4)(0,−4) and (4,0)(4,0) on the Cartesian plane and draw a straight line passing through these points. This line represents the graph of the equation x−y=4x−y=4.
Intersecting with the x-axis:
To find where the graph line meets the x-axis, we need to find the point where y=0y=0.
Substitute y=0y=0 into the equation x−y=4x−y=4:
x−0=4x−0=4
x=4x=4
So, when the graph line meets the x-axis, the coordinates of the point are (4,0)(4,0).
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
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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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