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9551.

Question 3 Construct the Parallelogram MORE where OR=6 cm, RE= 4.5 cm, EO = 7.5 cm

Answer»

Question 3
Construct the Parallelogram MORE where
OR=6 cm, RE= 4.5 cm, EO = 7.5 cm

9552.

Find the square root of 4+ root 30 - root 15 - root 18

Answer» Find the square root of 4+ root 30 - root 15 - root 18
9553.

Steve conducts a survey of 15 villages of a locality and finds out the number of teachers in each village. The observations are as following: 3, 3, 3, 2, 2, 1, 2, 3, 4, 4, 4, 4, 4, 1, 1. Which one of the following represents the correct frequency table?

Answer»

Steve conducts a survey of 15 villages of a locality and finds out the number of teachers in each village. The observations are as following:
3, 3, 3, 2, 2, 1, 2, 3, 4, 4, 4, 4, 4, 1, 1.
Which one of the following represents the correct frequency table?

9554.

Solve the following quadratic equations by factorization:mnx2+nm=1-2x

Answer» Solve the following quadratic equations by factorization:



mnx2+nm=1-2x
9555.

Four alternative options are given for each of the following statements. Select the correct option.The value of (7.2)2 is (use an identity to expand):A. 49.4B. 14.4C. 51.84D. 49.04

Answer»

Four alternative options are given for each of the following statements. Select the correct option.



The value of (7.2)2 is (use an identity to expand):



A. 49.4



B. 14.4



C. 51.84



D. 49.04

9556.

Let f(x) be a function such that f(x).f(y)=f(x+y), f(0)=1, f(1)=4. If 2g(x)=f(x)(1-g(x)) then (1) g(x)+g(1-x)=0 (2) g(x)=1-g(1-x) (3) ∑_{k=1}^9g(k/10)=9/2 (4) ∑_{k=1}^{18}g(k/19)=9

Answer» Let f(x) be a function such that f(x).f(y)=f(x+y), f(0)=1, f(1)=4. If 2g(x)=f(x)(1-g(x)) then (1) g(x)+g(1-x)=0 (2) g(x)=1-g(1-x) (3) ∑_{k=1}^9g(k/10)=9/2 (4) ∑_{k=1}^{18}g(k/19)=9
9557.

Factorise : 9a(3a−5b)−12a2(3a−5b)

Answer»

Factorise :
9a(3a5b)12a2(3a5b)

9558.

97. In common like use and Canada temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equations that convert Fahrenheit to Celsius: 1. Draw the graph of the linear equations above using Celsius for x axis and Fahrenheit for y axis.

Answer» 97. In common like use and Canada temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equations that convert Fahrenheit to Celsius: 1. Draw the graph of the linear equations above using Celsius for x axis and Fahrenheit for y axis.
9559.

Three numbers are in ratio 2:3:4 the sum of there cubes is 33957. Find the numbers

Answer»

Three numbers are in ratio 2:3:4 the sum of there cubes is 33957. Find the numbers

9560.

A non-terminating and non-recurring decimal number is known as a/an ___.

Answer»

A non-terminating and non-recurring decimal number is known as a/an ___.

9561.

A teacher wants to arrange 2,800 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 96 were left out after the arrangement.

Answer»

A teacher wants to arrange 2,800 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 96 were left out after the arrangement.



9562.

Question 21Factorised form of p2−17p−38 isa) (p−19)(p+2)b) (p−19)(p−2)c) (p+19)(p+2)d) (p+19)(p−2)

Answer» Question 21



Factorised form of p217p38 is

a) (p19)(p+2)

b) (p19)(p2)

c) (p+19)(p+2)

d) (p+19)(p2)




9563.

Name the rationalising factor of 3/2√5

Answer» Name the rationalising factor of 3/2√5
9564.

The sides of a quadrangular field, taken in order are 26 m,27 m,7 m and 24 m respectively. The angle contained by the last two sides is a right angle. Find its area.[Take √14=3.751]

Answer» The sides of a quadrangular field, taken in order are 26 m,27 m,7 m and 24 m respectively. The angle contained by the last two sides is a right angle. Find its area.

[Take 14=3.751]
9565.

Question 42 The cost of a tape recorder is Rs 10800 inclusive of sales tax charged at 8%. The price of the tape recorder before sales tax was charged, is ___.

Answer»

Question 42

The cost of a tape recorder is Rs 10800 inclusive of sales tax charged at 8%. The price of the tape recorder before sales tax was charged, is ___.

9566.

Question 90(iv) Look at the histogram below and answer the questions that follow. ? How many students have height less than 140 cm ?

Answer»

Question 90(iv)

Look at the histogram below and answer the questions that follow. ?

How many students have height less than 140 cm ?

9567.

Find the square of 432

Answer»

Find the square of 432


9568.

What is −7×−13?

Answer»

What is 7×13?



9569.

The sum of two consecutive multiples of 5 is 55. Find these multiples.

Answer» The sum of two consecutive multiples of 5 is 55. Find these multiples.
9570.

Fill in the blanks. (i) (−317)+(−125)=(−125)+(.....) (ii) −9+−218=(......)+(−9) (iii) (−813+37)+(−134)=(......)+[37+(−134)] (iv) −12+(712+−911)=(−12+712)+(.....) (v) 19−5+(−311+−78)={19−5+(.....)}+−78 (vi) −167+.....=......+−167=−167

Answer»

Fill in the blanks.

(i) (317)+(125)=(125)+(.....)

(ii) 9+218=(......)+(9)

(iii) (813+37)+(134)=(......)+[37+(134)]

(iv) 12+(712+911)=(12+712)+(.....)

(v) 195+(311+78)={195+(.....)}+78

(vi) 167+.....=......+167=167

9571.

The construction of a triangle ABC, given that AB = 5 cm, ∠A = 45° is possible when BC + CA is equal to(a) 5 cm(b) 4.5 cm(c) 8 cm(d) 4 cm

Answer» The construction of a triangle ABC, given that AB = 5 cm, ∠A = 45° is possible when BC + CA is equal to

(a) 5 cm

(b) 4.5 cm

(c) 8 cm

(d) 4 cm
9572.

20. Find the coordinates of the point where the line through the points (3,-4,-5) and(2,-3,1), crosses the plane determined by the points (1,2,3),(4,2,-3)and(0,4,3).

Answer» 20. Find the coordinates of the point where the line through the points (3,-4,-5) and(2,-3,1), crosses the plane determined by the points (1,2,3),(4,2,-3)and(0,4,3).
9573.

Factorise the expression: 5m2+50m+125

Answer» Factorise the expression: 5m2+50m+125
9574.

A closed iron tank 12 m long, 9 m wide and 4 m deep is to be made. Determine the costof iron sheet used at the rate of Rs 5 per metre sheet, sheet being 2 m wide.

Answer» A closed iron tank 12 m long, 9 m wide and 4 m deep is to be made. Determine the costof iron sheet used at the rate of Rs 5 per metre sheet, sheet being 2 m wide.
9575.

Question 95 (iii)Look at the map given below and answer the following question.On which road is the Police Station situated?

Answer» Question 95 (iii)



Look at the map given below and answer the following question.







On which road is the Police Station situated?
9576.

Mark the correct alternative in the following question:If x:y=1:1, then 3x+4y5x+6y=a 711 b 1711 c 1723 d 45

Answer» Mark the correct alternative in the following question:



If x:y=1:1, then 3x+4y5x+6y=a 711 b 1711 c 1723 d 45
9577.

Read the pictograph and answer the following question: Which colour is the most favourite?

Answer»

Read the pictograph and answer the following question:

Which colour is the most favourite?


9578.

Construct a 3 × 3 magic square using all odd numbers from 1 to 17.

Answer»

Construct a 3 × 3 magic square using all odd numbers from 1 to 17.

9579.

Question 7Write True or False and justify your answer:The area of a regular hexagon of side ‘a’ is the sum of the areas of the five equilateral triangles with side 'a'.

Answer» Question 7

Write True or False and justify your answer:



The area of a regular hexagon of side ‘a’ is the sum of the areas of the five equilateral triangles with side 'a'.
9580.

14xy+35xy2 can be written as .

Answer» 14xy+35xy2 can be written as .
9581.

Suppose you, along with 7 of your friends ate a medium pizza cut into 8 equal parts. Since all of you remained hungry after that, you ordered one more pizza. This time a large pizza, which is again cut into 8 equal parts. The percentage of the full large pizza eaten by you will be

Answer»

Suppose you, along with 7 of your friends ate a medium pizza cut into 8 equal parts. Since all of you remained hungry after that, you ordered one more pizza. This time a large pizza, which is again cut into 8 equal parts. The percentage of the full large pizza eaten by you will be


9582.

simplified form of 4(2x+1) - 3x is :

Answer»

simplified form of 4(2x+1) - 3x is :


9583.

The value of x will be___.

Answer»

The value of x will be


___

.





9584.

A polyhedron has 12 faces and 30 edges. Find the number of vertices.

Answer» A polyhedron has 12 faces and 30 edges. Find the number of vertices.
9585.

What is the square of 0.15?

Answer»

What is the square of 0.15?


9586.

Question 6 Using the given pattern, find the missing numbers: 12+22+22=32 22+32+62=72 32+42+122=132 42+52+–––––2=212 52+–––––2+302=312 62+72+–––––2=–––––2

Answer»

Question 6
Using the given pattern, find the missing numbers:
12+22+22=32
22+32+62=72
32+42+122=132
42+52+–––2=212
52+–––2+302=312
62+72+–––2=–––2

9587.

Consider x, y, z and w be elements of a group G:P1:If given that xyz−1ω=1,then y must be equal to x−1 ω−1zP2: If xyz = 1, then yxz =1Which of the following is true?

Answer»

Consider x, y, z and w be elements of a group G:

P1:If given that xyz1ω=1,then y must be equal to x1 ω1z

P2: If xyz = 1, then yxz =1

Which of the following is true?




9588.

How to solve x⁵-x factorization

Answer» How to solve x⁵-x factorization
9589.

Which one of the following options is the multiplicative inverse of 25?

Answer»

Which one of the following options is the multiplicative inverse of 25?

9590.

20. What is locus?

Answer» 20. What is locus?
9591.

Question 1(vii) Find the cube root of each of the following numbers by prime factorization method: 110592

Answer» Question 1(vii)
Find the cube root of each of the following numbers by prime factorization method:
110592
9592.

When an object falls from a height, the distance s (metres), it travels in time t (seconds) is given by the equation s = 4.9t2. Is the distance travelled proportional to time?

Answer»

When an object falls from a height, the distance s (metres), it travels in time t (seconds) is given by the equation s = 4.9t2. Is the distance travelled proportional to time?

9593.

Find the area of the shaded part in the figure given below. [Take π=227 and all the dimensions are in cm]

Answer»

Find the area of the shaded part in the figure given below. [Take π=227 and all the dimensions are in cm]


9594.

divide 4x^3 -2x^2 -4x -5 by x^2-x-1 and verify the division algorithm

Answer» divide 4x^3 -2x^2 -4x -5 by x^2-x-1 and verify the division algorithm
9595.

Draw a circle of any radius and divide it using a 30⁰ - 60⁰ - 90⁰ set square from the sides with 30⁰ between them. How many divisions you will get?

Answer» Draw a circle of any radius and divide it using a 30⁰ - 60⁰ - 90⁰ set square from the sides with 30⁰ between them. How many divisions you will get?
9596.

If a man earns ₹ 805 per week, in how many days he will earn ₹ 1840?

Answer»

If a man earns 805 per week, in how many days he will earn 1840?



9597.

Solveand check result: 8x+ 4 = 3(x− 1) + 7

Answer»

Solve
and check result: 8x
+ 4 = 3(x
− 1) + 7

9598.

Write the number of terms in the expansion of 2x+y347.

Answer» Write the number of terms in the expansion of 2x+y347.
9599.

If (146)x+(313)x−2=(246)8. Then the base x is _________.7

Answer» If (146)x+(313)x2=(246)8. Then the base x is _________.
  1. 7
9600.

Find the amount and compound interest on ₹ 1600 for 2 years at the rate of 5% per annum.

Answer»

Find the amount and compound interest on ₹ 1600 for 2 years at the rate of 5% per annum.