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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....

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.

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Kavungya answered the question on October 11, 2019 at 14:07

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Next: 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...

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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 XY^P = Q^PX (Solved)

Make P the subject of the formula XY^P = Q^PX

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:
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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)
A point (-3, 2) is the image of a point (7,4) after a reflection. Find the mirror line. (Solved)

A point (-3, 2) is the image of a point (7,4) after a reflection. Find the mirror line.

Date posted: October 9, 2019 . Answers (1)
The proceeds of a certain harambee were distributed among three primary schools A, B and C. A received 1/3 of total amount realized, B received... (Solved)

The proceeds of a certain harambee were distributed among three primary schools A, B and C. A received 1/3 of total amount realized, B received 1/3 of the remainder while C received 4/5 of what B received. If the difference of what remained and what B received was shs. 25,000. Determine how much the harambee realized.

Date posted: October 9, 2019 . Answers (1)
In the figure below AB is parallel to DE. Find the value of x and y. (Solved)

In the figure below AB is parallel to DE. Find the value of x and y.

Date posted: October 9, 2019 . Answers (1)
Complete the table below, for the function y =2x² + 4x - 3. (Solved)

a) Complete the table below, for the function y =2x² + 4x - 3.

b) On the grid provided, draw the graph of y=2x² + 4x - 3 for -4<= x<= 2 and use the graph to estimate the roots of the equation to 1 decimal place.

c) In order to solve graphically 2x² + x – 5 = 0, a straight line must be drawn to intersect the curve y = 2x² + 4x – 3. Determine the equation of the straight line and draw it, hence obtain the roots of the equation 2x² + x - 5 = 0 to 1 decimal place.

Date posted: October 8, 2019 . Answers (1)
Use a ruler and compass only for all the constructions in this question. a) Construct a triangle XYZ in which XY= 6cm, YZ =5cm and angle... (Solved)

Use a ruler and compass only for all the constructions in this question.

a) Construct a triangle XYZ in which XY= 6cm, YZ =5cm and angle XYZ= 120⁰

b) Measure XZ and angle YXZ

c) Construct the perpendicular bisector of XZ and let it meet XZ at N

d) Locate a point W on the opposite of XZ as Y and that XW = ZW and YW =9cm and hence complete triangle XZW.

e) Measure WM and hence calculate the area of triangle XZW.

Date posted: October 8, 2019 . Answers (1)