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3y + 64 + y = 180
4y = 116
y = 29
Kavungya answered the question on October 12, 2019 at 05:28
- A line Q has the equation 5y – 2x + 3 = 0
a)Find the gradient of the line Q
b)Find the equation of the line...(Solved)
A line Q has the equation 5y – 2x + 3 = 0
a)Find the gradient of the line Q
b)Find the equation of the line R which is perpendicular to line Q, and passes through (5, - 2)
Date posted: October 12, 2019. Answers (1)
- If 2x + y = 16 and 42x-y = ¼, find y – x: 2y (Solved)
If 2x + y = 16 and 42x-y = ¼, find y – x: 2y
Date posted: October 11, 2019. Answers (1)
- Water and alcohol are mixed in the ratio 1:4. If the density of water and alcohol are 1g/cm3 and 0.8g/cm3 respectively. Find the density of...(Solved)
Water and alcohol are mixed in the ratio 1:4. If the density of water and alcohol are 1g/cm3 and 0.8g/cm3 respectively. Find the density of the mixture.
Date posted: October 11, 2019. Answers (1)
- The projection of a line onto a plane is two thirds the length of the line. Find the angle between the line and the plane....(Solved)
The projection of a line onto a plane is two thirds the length of the line. Find the angle between the line and the plane.
Date posted: October 11, 2019. Answers (1)
- Line AB is such that A(5, -2) and B(7, -4). The line is mapped onto A1(5, -12) and B1(3, -10), by an enlargement. Determine the...(Solved)
Line AB is such that A(5, -2) and B(7, -4). The line is mapped onto A1(5, -12) and B1(3, -10), by an enlargement. Determine the centre and scale factor of the enlargement. (Use the grid given)
Date posted: October 11, 2019. Answers (1)
- When a retailer sold an article at Ksh 550 after a discount of 15%, he made a profit of 10%. What would have been his...(Solved)
When a retailer sold an article at Ksh 550 after a discount of 15%, he made a profit of 10%. What would have been his profit if he did not allow the discount?
Date posted: October 11, 2019. Answers (1)
- Simplify completely the expression. (Solved)
Simplify completely the expression.
Date posted: October 11, 2019. Answers (1)
- Use logarithms tables only to evaluate. (Solved)
Use logarithms tables only to evaluate.
Date posted: October 11, 2019. Answers (1)
- The mean of the number k, 8k + 1, 17 and 20 is 14. Find the mode of the numbers.(Solved)
The mean of the number k, 8k + 1, 17 and 20 is 14. Find the mode of the numbers.
Date posted: October 11, 2019. Answers (1)
- Without using a calculator evaluate(Solved)
Without using a calculator evaluate
Date posted: October 11, 2019. Answers (1)
- Two fair dice one a regular tetrahedron (4 faces) and the other a cube are thrown. The scores are added together. show all possible outcomes.
a)Find...(Solved)
Two fair dice one a regular tetrahedron (4 faces) and the other a cube are thrown. The scores are added together. show all possible outcomes.
a)Find the probability that:
i) The sum is 6.
ii) The sum is an odd number.
iii)The sum is 6 or 9.
b)If a player wins a game by throwing a sum of 6 or 9, draw a tree diagram and use it to find
probability that he wins at least once when the dice are thrown twice
Date posted: October 9, 2019. Answers (1)
- The above diagram represents a wooden prism. ABCD is a rectangle. Points E and F are directly below C and B respectively. M is the...(Solved)
The above diagram represents a wooden prism. ABCD is a rectangle. Points E and F are directly below C and B respectively. M is the midpoint of CD. AB = 8cm, BC = 10cm and CE = 4.5cm.
a)The size of angle CDE.
b) Calculate:
i) Length of AC.
ii) The angle CAE makes with the plane ADEF.
c) Find the:
i) Length of MB.
ii) Angle CBM.
Date posted: October 9, 2019. Answers (1)
- Make P the subject of the formula XYP = QPX(Solved)
Make P the subject of the formula XYP = QPX
Date posted: October 9, 2019. Answers (1)
- The table below shows the taxation rates for income earned in a certain month.
Income (Kshs per month) Tax rate (%)
1...(Solved)
The table below shows the taxation rates for income earned in a certain month.
Income (Kshs per month) Tax rate (%)
1 – 9680 10
9681 – 19360 15
19361 – 29040 20
29041 – 38720 25
38720 and above 30
Kiratu earned a basic salary of Ksh 21,000 that month. In addition he got a house allowance of Ksh. 12,000 and medical allowance of Ksh. 3600. He had a life insurance policy for which he paid Ksh. 1800 p.m. He was entitled to an insurance relief 15% of the premium paid. He claimed a personal relief of Ksh. 1162 p.m.
a)Calculate the net tax Kiratu paid in that month.
b)Together with the tax deductions were also made from his pay i.e. NHIF sh. 320 and co-op loan
of ksh. 4750. Calculate Kiratu’s Net pay for that month.
Date posted: October 9, 2019. Answers (1)
- A straight line passes through points (8, -2) and (4, -4)
a)Write its equation in the form ax + by + c = 0 where a,...(Solved)
A straight line passes through points (8, -2) and (4, -4)
a)Write its equation in the form ax + by + c = 0 where a, b and c are integers.
b)If the line in (a) above cuts the x axis at point P, determine the coordinates of P.
c)Another line which is perpendicular to the line in (a) above passes through point P and cuts the
Y axis at the point Q. Determine the co-ordinates of point Q.
d)Find the length of QP.
Date posted: October 9, 2019. Answers (1)
- A passenger noticed that he had forgotten his bag in a bus 12 minutes after the bus had left. To catch up with the bus,...(Solved)
A passenger noticed that he had forgotten his bag in a bus 12 minutes after the bus had left. To catch up with the bus, he immediately took a taxi which travelled 95km/h. The bus maintained an average speed of 75km/h.
Determine:
a)The distance covered by the bus in 12 minutes.
b)The distance covered by the taxi to catch up with the bus.
Date posted: October 9, 2019. Answers (1)
- Use reciprocal, cosine and square tables only to evaluate to 4s.f the expression.
1/15.79 - (cos 73.61)2(Solved)
Use reciprocal, cosine and square tables only to evaluate to 4s.f the expression.
1/15.79 - (cos 73.61)2
Date posted: October 9, 2019. Answers (1)
- A seven sided figure has three of its angles equal to x and the other angles are (2x - 30), (x + 28), 3(x -...(Solved)
A seven sided figure has three of its angles equal to x and the other angles are (2x - 30), (x + 28), 3(x - 4) and (126 -x). Find the value of x.
Date posted: October 9, 2019. Answers (1)
- Given that Cos A = 5/13 and Angle A is acute, find the value of 2tan A + 3 Sin A.(Solved)
Given that Cos A = 5/13 and Angle A is acute, find the value of 2tan A + 3 Sin A.
Date posted: October 9, 2019. Answers (1)
- Solve for x
5(x+1) + 6(5x) – 70 = 205(Solved)
Solve for x
5(x+1) + 6(5x) – 70 = 205
Date posted: October 9, 2019. Answers (1)