Hi i have 15 math question which i have been trying to solve but i dont seem to be able to do so..i really need these question solved as they are from a past mathematics questions book and i would be sitting for a math exam very soon.
1. 2 places A and B on the equator are in longitudes 20° W and 18° E respecytively. calculate correct to the nearest 100km th distance between A and B along ythe equator. (Take ? = ²²?7 )
2 . differentiate (cos? - sin ?)² with respect to ?.
3 if one factor of x³-8?¹ is x-2?¹,the other is ....
4.convert 111.111 from binary number to denary
5 .simplify a-b (numerator)/ a? - b? (denominator)
6 . factorise x³ + 2x² - 5x - 6
7.simplify ¼ - 1½ × (2½ - ?)
8 . solve the equations 3x - y + 1 = 2x + y + 2 = 3x+2y+1 (numerators)/
3 5 6(denominators)
9 .resolve 2x² - 3x - 10? (x + 2)(x² - 9)
10 . if ? and ? are acut angles such that sin ? = ³?5 tan ? = 5?12.findthe value of sin(? +? )
11 . the motion of a body is defined by S = 3t³ - 2t² - 3,where S denotes th displacement after the time t seconds.find the acceleration after t = 5seconds
12. evaluate lim (x-2)(x² + 3x - 2) numerator / x² - 4 denominator
x? 2
13.if sec?° = 1.5, find sin?° and cot ?° respectively.
14.the base of a rectangular block is a square ,side × cm, and its volume is 200cm³ .find the function(fx) which represenst in square cm the total area of the faces of the block
15. A solid metal cuboid has a dimension 18cm by 10cm by 7cm.It is melted down competely and recast into a solid right circular cone of radius 10cm. calculate the height of the cone .(? = ²²?7)
1. 2 places A and B on the equator are in longitudes 20° W and 18° E respecytively. calculate correct to the nearest 100km th distance between A and B along ythe equator. (Take ? = ²²?7 )
2 . differentiate (cos? - sin ?)² with respect to ?.
3 if one factor of x³-8?¹ is x-2?¹,the other is ....
4.convert 111.111 from binary number to denary
5 .simplify a-b (numerator)/ a? - b? (denominator)
6 . factorise x³ + 2x² - 5x - 6
7.simplify ¼ - 1½ × (2½ - ?)
8 . solve the equations 3x - y + 1 = 2x + y + 2 = 3x+2y+1 (numerators)/
3 5 6(denominators)
9 .resolve 2x² - 3x - 10? (x + 2)(x² - 9)
10 . if ? and ? are acut angles such that sin ? = ³?5 tan ? = 5?12.findthe value of sin(? +? )
11 . the motion of a body is defined by S = 3t³ - 2t² - 3,where S denotes th displacement after the time t seconds.find the acceleration after t = 5seconds
12. evaluate lim (x-2)(x² + 3x - 2) numerator / x² - 4 denominator
x? 2
13.if sec?° = 1.5, find sin?° and cot ?° respectively.
14.the base of a rectangular block is a square ,side × cm, and its volume is 200cm³ .find the function(fx) which represenst in square cm the total area of the faces of the block
15. A solid metal cuboid has a dimension 18cm by 10cm by 7cm.It is melted down competely and recast into a solid right circular cone of radius 10cm. calculate the height of the cone .(? = ²²?7)
