The points are P(65oS,96oE) and Q(65oS,84oW)
Longitude difference between
the two points is
96 + 84 + 180o
Distance between P and Q in km
= $\frac{180^o}{360^o}$ x 2 x 3.142 x 6 370 cos 65o
= $\frac{1}{2}$ x 2 x 3.142 x 6370 x 0.423
= 3.142 x 6370 x 0.423
= 8 458.5 km
johnmulu answered the question on March 8, 2017 at 13:20
- Calculate the area enclosed between the curve y = 6x - x2 x –axis and the lines x = 1 and x = 5 using...(Solved)
Calculate the area enclosed between the curve y = 6x - x2 x –axis and the lines x = 1 and x = 5 using the mid-ordinate rule with four strips
Date posted: March 8, 2017. Answers (1)
- Calculate the area enclosed between the curve y = 6x - x2, x - axis and the lines x = 1 and x = 5 using the mid-ordinate rule with four strips(Solved)
Calculate the area enclosed between the curve y = 6x - x2, x - axis and the lines x = 1 and x = 5 using the mid-ordinate rule with four strips
Date posted: March 8, 2017. Answers (1)
- Intersection point of the lines of equations 2x – 3y = -29 and circle whose radius is 5 units. Find the equation of the circle(Solved)
Intersection point of the lines of equations 2x – 3y = -29 and circle whose radius is 5 units. Find the equation of the circle
Date posted: March 8, 2017. Answers (1)
- Given (1 – 3x)5
Determine the number of terms in the expansion(Solved)
Given (1 – 3x)5
a) Determine the number of terms in the expansion
b) Expand (1 - 3)5 and use your expansion to estimate (0.97)5 correct to 4 significant figures
Date posted: March 8, 2017. Answers (1)
- Solve the equation
log3(x + 23) - log3(log232) = log3(9 - 2x)(Solved)
Solve the equation
log3(x + 23) - log3(log232) = log3(9 - 2x)
Date posted: March 8, 2017. Answers (1)
- Given that P = 4 + $\sqrt2 $ and that
$\frac{P}{Q}$ = a + b$\sqrt c$ where a, b and c are constants, find the values of a, b and c (Solved)
Given that P = 4 + $\sqrt2 $ and that
$\frac{P}{Q}$ = a + b$\sqrt c$ where a, b and c are constants, find the values of a, b and c
Date posted: March 8, 2017. Answers (1)
- A ship leaves an island (5o, 45oE) and sails due east for 120 hours to another island. The average speed of the ship is 27 knots(Solved)
A ship leaves an island (5o, 45oE) and sails due east for 120 hours to another island. The average speed of the ship is 27 knots
a) Calculate the distance between the two islands
i) in nautical miles
ii) in kilometres
b) Calculate the speed of the ship in kilometres per hour
c) Find the position of the second island. (Take 1 nm to be 1.853 km and the radius of the earth to be 6370 km)
Date posted: March 8, 2017. Answers (1)
- A stone is thrown vertically upwards such that its height is S metres above the ground after t seconds is given by s = 40t - 10t2.
Find(Solved)
A stone is thrown vertically upwards such that its height is S metres above the ground after t seconds is given by s = 40t - 10t2.
Find
i) The height above the ground after 2 seconds
ii) The velocity after 1 second
iii) The instant at which the stone is 30 m high
Date posted: March 8, 2017. Answers (1)
- A solid cone of height 12 cm and radius 9 cm is recast into a solid sphere. Calculate the surface area of the sphere(Solved)
A solid cone of height 12 cm and radius 9 cm is recast into a solid sphere. Calculate the surface area of the sphere
Date posted: March 8, 2017. Answers (1)
- Solve the simultaneous equations
x2 + y2 = 26
x + y = 4(Solved)
Solve the simultaneous equations
x2 + y2 = 26
x + y = 4
Date posted: March 8, 2017. Answers (1)
- A G.P has third term 24 and sixth term 192. Determine the first term and the common ratio(Solved)
A G.P has third term 24 and sixth term 192. Determine the first term and the common ratio
Date posted: March 8, 2017. Answers (1)
- Differentiate y = (x + 2)(x - 1) with respect x (Solved)
Differentiate y = (x + 2)(x - 1) with respect x
Date posted: March 8, 2017. Answers (1)
- Determine the centre and radius of a circle given by the equation
$2x^2\;+\;2y^2\;-\;12\;=\;4x\;-\;12y$(Solved)
Determine the centre and radius of a circle given by the equation
$2x^2\;+\;2y^2\;-\;12\;=\;4x\;-\;12y$
Date posted: March 8, 2017. Answers (1)
- Solve for y given that
$log_2(2y\; + \;3)-\;2\; = log_2(y - 2)$
(Solved)
Solve for y given that
$log_2(2y\; + \;3)-\;2\; = log_2(y - 2)$
Date posted: March 8, 2017. Answers (1)
- Evaluate (3 - $\sqrt7$)(3 + $\sqrt7$) hence simplify
$\frac{2}{3\; -\sqrt7}$ - $\frac{2}{3\; +\sqrt7}$(Solved)
Evaluate (3 - $\sqrt7$)(3 + $\sqrt7$) hence simplify
$\frac{2}{3\; -\sqrt7}$ - $\frac{2}{3\; +\sqrt7}$
Date posted: March 7, 2017. Answers (1)
- The sides of triangles were measured and recorded as 8.4 cm, 10.5 cm and 15.3 cm. Calculate the percentage error in perimeter (Solved)
The sides of triangles were measured and recorded as 8.4 cm, 10.5 cm and 15.3 cm. Calculate the percentage error in perimeter correct to 2 decimal places
Date posted: March 7, 2017. Answers (1)
- The equation of a curve is
y = 3x2 -4x + 1, Find the gradient function of the curve and its value when x = 2(Solved)
The equation of a curve is
y = 3x2 -4x + 1
a) Find the gradient function of the curve and its value when x = 2
b) Determine the equation of the tangent to the curve at(2,5)
Date posted: March 7, 2017. Answers (1)
- a) The nth term of a sequence is given as 3(m + 1) - 2m.(Solved)
a) The nth term of a sequence is given as 3(m + 1) - 2m. Find the 5th term of the sequence
b) Atieno was employed by NGO on contract for a certain number of years. Her basic annual salary for the first year was sh 580 000 and her last basic annual salary was sh 630 400. By end of contract she had earned a total basic salary of sh 4 841 600. If the annual increment was constant, calculate
i) The period of the contract
ii) The annual increment
iii) The annual basic salary in the third year of contract
Date posted: March 7, 2017. Answers (1)
- Expand (2 + 2x)5 in ascending powers of x up to the term x3
(Solved)
a) Expand (2 + 2x)5 in ascending powers of x up to the term x3
b) Hence use your expansion in a) above to evaluate (2.03)5 to 3 s.f.
Date posted: March 7, 2017. Answers (1)
- Solve the equation
4sin (2x + 30)o = -$\sqrt3$ in the range -90o < x <180o(Solved)
Solve the equation
4sin (2x + 30)o = -$\sqrt3$ in the range -90o < x <180o
Date posted: March 7, 2017. Answers (1)