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Hi;

The solution #6084 is correct. Good work, bobbym!

#6085. Find the sum of first 75 natural numbers.

#6086. Find the sum 5 + 10 + 15 + ..... + 250.

Hi;

The solution 581 is correct. Excellent, bobbym!

582. Find the values of p and q so that (x + 2) and (x - 1) are the factors of the polynomial

Hi;

The solution 580 is correct. Excellent, bobbym!

581. Evaluate:

Hi;

#3684. Find the area of the triangle ABC given A(6,7), B(2,-9), and C(-4,1).

Hi;

Revised problem #6084 : In a class test, the sum of Kamal's marks in Maths and English is 40. Had he got 3 marks more in Maths and **4 marks less in English**, the product of their marks would have been 360. Find his marks in the two subjects.

Hi;

Revised problem #6084 : In a class test, the sum of Kamal's marks in Maths and English is 40. Had he got 3 marks more in Maths and 4 marks in English, the product of their marks would have been 360. Find his marks in the two subjects.

Hi;

The solution 579 is correct. Excellent, bobbym!

580. A card is drawn from a well shuffled pack of 52 cards. Find the probability of

(i) a red card

(ii) a king

(iii) a card of club

(iv) a black ace

(v) a king of heart

Hi;

The solution #6083 is correct. Excellent, bobbym!

#6084. The roots of

are equal, then a + c = ?Hi;

The solution #6082 is correct. Good work, bobbym!

#6083. If the points A(x,2), B(-3,-4) and C(7,-5) are collinear, then the value of x is _______.

Hi;

The solution #6081 is perfect. Excellent, bobbym!

#6082.(a) A bag contains 5 red and 4 black balls. A ball is drawn at random from the bag. What is the probability of getting a black ball?

#6082.(b) An ordinary dice is thrown. Find the probability that the number obtained is a factor of 6.

Hi;

579. From the top of a tower 100 m high, a man observes two cars on the opposite sides of the tower with angles of depression 30 degrees and 45 degrees respectively. Find the distance between the cars.

Hi;

The solution #6080 is correct. Excellent, bobbym!

#6081. If the coordinates of points A and B are (-2,-2) and (2,-4) respectively, find the coordinates of P such that AP = (3/7)AB, where P lies on the line segment AB.

Hi;

The solution #6079 is correct. Neat work, bobbym!

#6080. Find the area of a triangle whose vertices are (3,8), (-4,2) and (5,1).

Hi;

The solution #6078 is correct. Neat work, bobbym!

#6079. A(3,2) and B(-2,1) are the two vertices of triangle ABC, whose centroid G has coordinates (5/3,-1/3). Find the coordinates of the third vertex C of the triangle.

Hi;

The solution 577 (four parts) is correct. Excellent, bobbym!

578. A semicircular sheet of metal of diameter 28 cm is bent into an open conical cup. Find the depth and the capacity of the cup.

Hi;

The solution #6077 (two parts) is correct. Excellent, bobbym!

#6078. Find the points which divide the line segment joining (8,12) and (12,8) into four equal parts.

Hi;

577. A bag contains 3 red, 5 black and 7 white balls. A ball is drawn from the bag at random. Find the probability that the drawn ball is

(i) white

(ii) red

(iii) not black

(iv) red or white

Hi;

The solution 575 (three parts) is correct. Excellent, bobbym!

576. A hemispherical tank, full of water, is emptied by a pipe at the rate of 25/7 liters per second. How mach time will it take to empty half the tank if diameter of the tank is 3 m?

Hi;

#6077. Find the ratio in which C(p,1) divides the join of A(-4,4) and B(6,-1) and hence find the value of p.

Hi;

The solution #6075 is correct. Well done, bobbym!

#6076. If the points A(4,3) and B(x,5) are on the circle with the center O(2,3), find the value of x.

Hi;

The solution 574 (two parts) is correct. Excellent, bobbym!

575. All the three face cards of spades are removed from a well-shuffled pack of 52 cards. A card is drawn at random from the remaining pack. Find the probability of getting

(i) a black face card

(ii) a queen

(iii) a black card

Hi;

The solution #3681 is correct. Good work, bobbym!

#3682. Find the diameter of a circle whose circumference is 628 cm. Use

#3683. If the perimeter of a semi-circle is 36 cm, find the diameter.

Hi;

The solution 573 is correct. Excellent, bobbym!

574. A bag contains 5 red, 8 green and 7 white balls. One ball is drawn at random from the bag. Find the probability of

(i) a white ball or a green ball

(ii) neither a green ball nor a red ball

Hi;

The solutions #6073 and #6074 are correct. Neat work, bobbym!

#6075. A die is thrown once. Find the probability of getting

(i) an even number

(ii) a prime number

(iii) a number greater than 4

Hi;

The solution #3680 is correct. Neat work, bobbym!

#3681. If the nth term of an Arithmetic Progression is (2n + 1), then the sum of first three terms is ____________