Take Class 8 Tuition from the Best Tutors
Affordable fees 1-1 or Group class Flexible Timings Verified Tutors Search in
Answered on 24 Feb Learn Practical Geometry
Sadika
To construct the quadrilateral PQRS with the given specifications, follow these steps:
Start by drawing a line segment PQPQ of length 4 cm. This will be one side of the quadrilateral.
At point PP, construct an angle of 50 degrees. To do this, use a protractor to measure and mark an angle of 50 degrees from line segment PQPQ.
At point QQ, construct an angle of 110 degrees. To do this, use a protractor to measure and mark an angle of 110 degrees from line segment PQPQ.
From point QQ, draw a ray extending from the angle bisector of angle QQ. This will be side QRQR.
Measure and mark a length of 5 cm along side QRQR. This will be point RR.
At point RR, construct an angle of 70 degrees. To do this, use a protractor to measure and mark an angle of 70 degrees from line segment QRQR.
Finally, draw a line segment connecting point RR to point PP.
By following these steps, you will have constructed the quadrilateral PQRS with the given specifications.
Answered on 24 Feb Learn Practical Geometry
Sadika
To construct the quadrilateral PQRS with the given specifications, follow these steps:
Start by drawing a line segment PQPQ of length 6 cm. This will be one side of the quadrilateral.
At point QQ, construct an angle of 120 degrees. To do this, use a protractor to measure and mark an angle of 120 degrees from line segment PQPQ.
From point QQ, draw a ray extending from the angle bisector of angle QQ. This will be side QRQR.
Measure and mark a length of 6 cm along side QRQR. This will be point RR.
From point RR, draw a ray extending from the angle bisector of angle RR. This will be side RSRS.
Measure and mark a length of 4.5 cm along side RSRS. This will be point SS.
Finally, draw a line segment connecting point SS to point PP.
By following these steps, you will have constructed the quadrilateral PQRS with the given specifications.
Answered on 24 Feb Learn Practical Geometry
Sadika
To construct the quadrilateral PQRS with the given specifications, follow these steps:
Draw a line segment PRPR of length 10 cm. This will be one side of the quadrilateral.
At point PP, measure and mark a distance of 7.5 cm along the line segment PRPR. This will be point QQ.
At point RR, measure and mark a distance of 6 cm along the line segment PRPR. This will be point SS.
At point QQ, draw a line segment QSQS of length 6 cm, parallel to line segment PRPR.
At point SS, draw a line segment SPSP of length 5 cm, parallel to line segment QRQR.
Connect point QQ to point SS with a straight line segment.
By following these steps, you will have constructed the quadrilateral PQRS with the given specifications.
Take Class 8 Tuition from the Best Tutors
Affordable fees Flexible Timings Choose between 1-1 and Group class Verified Tutors Answered on 24 Feb Learn Visualizing Solid Shapes
Sadika
To draw the net of a triangular prism with an equilateral triangle base, follow these steps:
Start by drawing an equilateral triangle. Label the vertices as A, B, and C.
Draw three lines perpendicular to the sides of the equilateral triangle, dividing each side into two equal segments. Label the points of intersection with the sides as D, E, and F.
Draw three parallel lines connecting points D, E, and F to the opposite vertices of the equilateral triangle. These lines will form three rectangles.
Join the corresponding vertices of the rectangles to form the sides of the prism.
Label the vertices of the resulting net.
C_______
/ \ / \
/ \ / \
/_____\ /_____\
A D B
E_______
/ \
/ \
/___________\
F C
Answered on 24 Feb Learn Visualizing Solid Shapes
Sadika
Euler's Formula is a fundamental theorem in geometry that relates the number of vertices (V), edges (E), and faces (F) of a polyhedron. It states that for any convex polyhedron (where the faces are flat and the edges are straight), the number of vertices (V), edges (E), and faces (F) are related by the equation:
V−E+F=2V−E+F=2
This formula holds true for any convex polyhedron, including prisms, pyramids, cubes, and more.
Now, let's use Euler's Formula to find the number of faces of a tetrahedron given that it has 4 vertices and 6 edges.
Given: V=4V=4 (number of vertices) E=6E=6 (number of edges)
We need to find FF (number of faces).
Using Euler's Formula: V−E+F=2V−E+F=2
Substitute the given values: 4−6+F=24−6+F=2
Now, solve for FF: F=2+6−4F=2+6−4 F=4F=4
So, the tetrahedron has 4 faces.
Answered on 26 Feb Learn Factorization
Nazia Khanum
As a seasoned tutor registered on UrbanPro.com, I specialize in providing top-notch online coaching for Class 7 Tuition. Today, I'll guide you through the process of factorizing the expression: 2x²yz + 2xy²z + 4xyz.
To factorize the given expression, we'll look for common factors in each term and factor them out.
Identify Common Factors
Factorize the Expression
2xyz(x + y + 2) Common Factor of 2: Factoring out 2 helps simplify the expression and identify a common factor in each term.
Common Factor of xyz: Each term contains a factor of xyz. Factoring this out leaves us with the expression (x + y + 2).
Final Factored Expression: Combining the common factors, the fully factorized expression is 2xyz(x + y + 2).
Enrolling in the best online coaching for Class 7 Tuition on UrbanPro.com ensures not only academic excellence but also a supportive and enriching learning environment. If you have further questions or need assistance with more topics, feel free to reach out for personalized guidance and effective tutoring.
Take Class 8 Tuition from the Best Tutors
Affordable fees Flexible Timings Choose between 1-1 and Group class Verified Tutors Answered on 26 Feb Learn Factorization
Nazia Khanum
Greetings! I am an experienced tutor registered on UrbanPro.com, specializing in Class 7 Tuition and online coaching. Below is a detailed explanation of how to factorise the given expression: 30xy – 12x + 10y – 4.
Factorising is a fundamental concept in algebra, involving the decomposition of an expression into its constituent factors. In this case, we are tasked with factorising the expression 30xy – 12x + 10y – 4.
Identify Common Factors:
Observe the expression and identify common factors shared by all terms.
Example: 2(15xy−6x+5y−2)2(15xy−6x+5y−2)
Grouping Terms:
Group the terms that share common factors.
Example: 2(15xy−6x)+2(5y−2)2(15xy−6x)+2(5y−2)
Factor Out the Greatest Common Factor (GCF) from Each Group:
Factor out the common factor from each group.
Example: 2⋅3x(5y−2)+2(5y−2)2⋅3x(5y−2)+2(5y−2)
Identify and Factor Out Common Binomial Factor:
Notice the common binomial factor in both groups.
Example: 2(3x+1)(5y−2)2(3x+1)(5y−2)
By following these steps, the given expression 30xy – 12x + 10y – 4 can be factored as 2(3x+1)(5y−2)2(3x+1)(5y−2).
For comprehensive and effective online coaching in Class 7 Tuition, consider exploring UrbanPro.com. It provides a platform where students can connect with experienced tutors offering personalized guidance.
Verified Tutors:
Flexible Schedules:
Tailored Learning:
Interactive Sessions:
In conclusion, for the best online coaching in Class 7 Tuition, UrbanPro.com is a reliable platform connecting students with experienced and verified tutors, ensuring a quality learning experience.
Answered on 26 Feb Learn Factorization
Nazia Khanum
As an experienced tutor registered on UrbanPro.com, I understand the importance of providing clear and concise explanations to help students grasp challenging concepts. In this response, I will break down the expression "z – 19 + 19xy – xyz" step by step, ensuring a thorough understanding for Class 7 students seeking online coaching.
Step 1: Identify Common Factors
Factorizing the expression involves identifying common factors among the terms.
Observe that "z" is a common factor in the terms "z" and "-xyz."
Factorized expression: z(1 - y) - 19 + 19xy
Step 2: Simplify Further
Now, let's simplify the remaining terms.
Combine Like Terms:
Combine the constant terms "-19" and the simplified expression "z(1 - y) - 19 + 19xy."
Simplified expression: z(1 - y) + 19xy - 38
Factorize the Constant Terms:
Observe that "19" and "38" have a common factor of 19.
Simplified and factorized expression: z(1 - y) + 19(x - 2y)
Conclusion:
In conclusion, the expression "z – 19 + 19xy – xyz" can be factorized as follows:
z(1−y)+19(x−2y)z(1−y)+19(x−2y)
For the best understanding and mastery of such concepts, consider enrolling in online coaching for Class 7 Tuition. UrbanPro.com offers a platform where experienced tutors provide comprehensive and personalized guidance to help students excel in their studies. Explore the best online coaching options for Class 7 Tuition on UrbanPro.com to ensure academic success.
Answered on 26 Feb Learn Factorization
Nazia Khanum
As an experienced tutor registered on UrbanPro.com, I'll guide you through the process of factoring the quadratic expression 100x² – 80xy + 16y². Let's break down the solution into clear steps.
Before factoring, it's essential to recognize the type of quadratic expression we're dealing with. The given expression is a perfect square trinomial, which can be factored using a specific formula.
The expression 100x² – 80xy + 16y² falls under the category of (a - b)², where 'a' and 'b' are terms in the form of ax and by, respectively. The formula for factoring a perfect square trinomial is:
(a−b)2=a2−2ab+b2(a−b)2=a2−2ab+b2
In our case, a=10xa=10x and b=4yb=4y. Applying the formula:
(10x−4y)2=(10x)2−2(10x)(4y)+(4y)2(10x−4y)2=(10x)2−2(10x)(4y)+(4y)2
Now, let's simplify the expression obtained from the formula:
100x2−80xy+16y2100x2−80xy+16y2
=100x2−80xy+16y2=100x2−80xy+16y2
This is the factored form of the given quadratic expression.
read lessTake Class 8 Tuition from the Best Tutors
Affordable fees Flexible Timings Choose between 1-1 and Group class Verified Tutors Answered on 26 Feb Learn Factorization
Nazia Khanum
As an experienced tutor registered on UrbanPro.com, I specialize in providing high-quality online coaching for Class 7 Tuition. One of the topics frequently covered in this grade is algebraic expressions and factorization. In this response, I will address the specific factorization question: "Factorise: 16x⁴ – y⁴."
Solution:
Step 1: Identify the Perfect Square Form:
Step 2: Apply the Difference of Squares Formula:
Step 3: Substitute and Simplify:
Step 4: Further Factorization if Possible:
Final Factorization: The complete factorization of 16x4−y416x4−y4 is (4x2+y2)(2x+y)(2x−y)(4x2+y2)(2x+y)(2x−y).
Conclusion: For effective Class 7 Tuition and clear explanations of concepts like factorization, consider enrolling in my online coaching sessions on UrbanPro.com. My goal is to provide comprehensive support to students, helping them grasp mathematical concepts with ease.
UrbanPro.com helps you to connect with the best Class 8 Tuition in India. Post Your Requirement today and get connected.
Ask a Question
The best tutors for Class 8 Tuition Classes are on UrbanPro
The best Tutors for Class 8 Tuition Classes are on UrbanPro
72 
