(a) Sin x = Cos 60°
X + 60° = 90° (complimentary angles of sine and cosine)
X =90° – 60°
X = 30°
(b) Sin 4y = Cos 5y
sin 4y = sin (90° – 5y)
4y = 90° – 5y
9y = 90°
Y= 10°
joseph rimiru answered the question on September 26, 2017 at 15:03
- Akinyi bought and beans from a wholesaler. She then mixed the maize and beans the ratio 4:3
she brought the maize as Kshs. 12 per kg...(Solved)
Akinyi bought and beans from a wholesaler. She then mixed the maize and beans the ratio 4:3
she brought the maize as Kshs. 12 per kg and the beans 4 per kg. If she was to make a profit of
30% what should be the selling price of 1 kg of the mixture
Date posted: September 25, 2017. Answers (1)
- Two baskets A and B each contains a mixture of oranges and lemons. Basket A contains 26
oranges and 13 lemons. Basket B contains 18 oranges...(Solved)
Two baskets A and B each contains a mixture of oranges and lemons. Basket A contains 26
oranges and 13 lemons. Basket B contains 18 oranges and 15 lemons.Determine the probability that the fruit picked radomnly is an orange.
Date posted: September 25, 2017. Answers (1)
- From the given equation 3y + 5x + 9 = 0 find its
...(Solved)
From the given equation 3y + 5x + 9 = 0 find its
a) gradient
b) y and x- intercepts.
Date posted: September 25, 2017. Answers (1)
- Solve the following simultaneous equations using the substitution method.
x + y = 5
...(Solved)
Solve the following simultaneous equations using the substitution method.
x + y = 5
xy = 6
Date posted: September 24, 2017. Answers (1)
- A number of two digits is such that four times the sum of its digits exceed the number by three. The number is increased by...(Solved)
A number of two digits is such that four times the sum of its digits exceed the number by three. The number is increased by thirty six when the digits are reversed. Find the number.
Date posted: September 23, 2017. Answers (1)
- The volume Vcm^3 of an object is given by
V = 2/3 p r {(1-2)/sc^2}
Express in term of p r, s and V(Solved)
The volume Vcm^3 of an object is given by
V = 2/3 π r {(1-2)/sc^2}
Express in term of π r, s and V
Date posted: September 23, 2017. Answers (1)
- A perpendicular to the line -4x + 3 = 0 passes through the point ( 8, 5) Determine its equation.(Solved)
A perpendicular to the line -4x + 3 = 0 passes through the point ( 8, 5) Determine its equation.
Date posted: September 23, 2017. Answers (1)
- Simplify
{(2x – 2)/(6x^2 – x – 12)}/{(x-1)/(2x-3)}(Solved)
Simplify
{(2x – 2)/(6x^2 – x – 12)}/{(x-1)/(2x-3)}
Date posted: September 23, 2017. Answers (1)
- The radius of a circle is 14cm. Find the length of arc and the area of the sector given that...(Solved)
The radius of a circle is 14cm. Find the length of arc and the area of the sector given that the angle
subtended at the centre is 60 degrees.
Date posted: September 23, 2017. Answers (1)
- Solve the following linear equations;
a. X + 5 = 0 b. 3X – 4 = 0 ...(Solved)
Solve the following linear equations;
a. X + 5 = 0 b. 3X – 4 = 0 c. -7x + 9 = 0 d. -x – 2 = 0
Date posted: September 23, 2017. Answers (1)
- Use the following roots to write equations of the form Ax^2 + Bx + C = 0
...(Solved)
Use the following roots to write equations of the form Ax^2 + Bx + C = 0
a. (2,5) b. (3, -4) c. (-7 ,-1)
Date posted: September 23, 2017. Answers (1)
- In a physics class the following formula was used to determine the value of f, 1/f = (1/u)+(1/v)....(Solved)
In a physics class the following formula was used to determine the value of f, 1/f = (1/u)+(1/v).
Then if u = 0.40 and v = 0.80 , find the value of f.
Date posted: September 21, 2017. Answers (1)
- Find the reciprocal of the following values . You can use the long division method
a) ...(Solved)
Find the reciprocal of the following values . You can use the long division method
a) 6 b) 5 c) 27 d) 3.5 e) 4.8 f) 1.02
Date posted: September 21, 2017. Answers (1)
- Find the value of each of the following cubes:a. (XY)^3b. (4a)^3c. (3ab)^3d. (-2bc)^3(Solved)
Find the value of each of the following cubes:
a. (XY)^3
b. (4a)^3
c. (3ab)^3
d. (-2bc)^3
Date posted: September 21, 2017. Answers (1)
- John walks homes from school which is 3 km due east and 4km due north. find the shortest distance between his home and school.(Solved)
John walks homes from school which is 3km due east and 4km due north. Find the shortest distance between his home and school.
Date posted: September 20, 2017. Answers (1)
- Expand the following quadratic equations,using any of the quadratic identity: a) (2x+4)^2 b) (3x-5)^2 c) (5x-2)(5x+2)(Solved)
Expand the following quadratic equations,using any of the quadratic identity: a) (2x+4)^2 b) (3x-5)^2 c) (5x-2)(5x+2)
Date posted: September 20, 2017. Answers (1)
- Solve the value of x in 2x+4(2x+7)=3(2x+4)(Solved)
Solve the value of x
2x+4(2x+7)=3(2x+4)
Date posted: September 16, 2017. Answers (1)
- Dida is now three times as old as his brother and four times as old as his son. Eight years from now, Dida’s age...(Solved)
Dida is now three times as old as his brother and four times as old as his son. Eight years from now, Dida’s age will be twelve years more than the sum of the ages of his brother and his son. Find Dida’s present age.
Date posted: September 16, 2017. Answers (1)
- What is the angle of line whose equation is 3x+y=0 in cartesian plane.(Solved)
What is the angle of line whose equation is 3x+y=0 in cartesian plane.
Date posted: September 12, 2017. Answers (1)
- Find the equation of the line which is perpendicular to the line (Solved)
Find the equation of the line which is perpendicular to the line 8x + 2y -3 = 0 and has the same x - intercept as the line.
Date posted: June 13, 2017. Answers (1)