Ande2

This page lists questions and answers that were posted by visitors named Ande2.

Questions

The following questions were asked by visitors named Ande2.

Find the angle between 4y+3x=2 and n-3y=3.

A boy is pulling a load of 150N with a string inclined at an angle of 30 degrees to the horizontal.If the tension in the string is 105N, calculate the force tending to lift the load off the ground.

If f(y)=2y3+9y2+ay-b where a and b are constant,find the values of the constant a and b hence (1) factorize f(y) completely (2) State the zeros of f(y) (3) find the remainder when f(y) is divided by (y-5)

Solve the equation 4x2+x+10=0

The remainder when the polynomial f(x)=2x3+px2+qx+18 is divided by (x-1) is 10, when it is divided by (x+1) the remainder is R find (1) The values of p and q (2) The zeros of f(x)

Find the zeros of the polynomial f(x)=2x3-7x2-3x+18

A ball is projected horizontally from top of a hill with a velocity of 30m/s.If it reaches the ground 5 seconds later, calculate the height of the hill,take g=10 metres per second square.

A stone is projected at an angle of 60 degrees and an initial velocity of 20m/s calculate (a) The time of flight (b) The maximum height attained (C) The time taken to reach maximum height (d) Range

Given that cosz=BL find the value of cotz-cosecz/secz+tanz

Two boys each of mass 10kg sit at a distance 1.5metres from a pivot of a seasaw. If another boy of mass 30kg sit at the distance 1.0metres from the pivot, would the seasaw balance horizontally?

Draw the graph of cosectita, sectita and cottita for 0 degree is less than or equal to tita less than or equal to 360 degrees.

x2-x-6 is a factor of f(x)=3x3+px2+qx+6. Find the values of the constants p and q and state the zeros of f(x).

(1) Find the value of B between 0 degree and 360 degree which satisfy the equation SinB+Sin²B=0 (2) Find the value of A between 0 degree and 360 degree which satisfy the equation (2CosA+1)(1-CosA)=0 (3) 2Sin²A-SinA-1=0 (4) 4Cos²A+2CosA=1 (5) 1+CosB/2-CosB...

Find the value of B between 0 degree and 360 degree which satisfy the equation 4Cos²B+2CosB=1

In how many ways can 5 boys and 4 girls be arranged on a bench if (a) Boys and girls are in a separate group (b) Mary and Phillip wish to stay together (C) There is no restriction (d) John and Daniel wish to stay together

In how many ways can 5 boys and 4 girls be arranged on a bench if (a) a boy and a girl wish to stay together (b) 2 boys wish to stay together (c) 2 girls wish to stay together

(1) If 10 men can make 12 tables in 6 days, how long would 6 men take to make 36 tables? (2) A family of 6 ate 240kg bag of rice in 10 days, in how many days will a family of 3 eat a 120kg bag of rice? (3) If 12 boys row a boat across a river 8km long in...

Solve the following questions (1) SinB=Cos35 degrees (2) Cos286 degrees (3) SinB=Cos3B (4) Cos2B=Sin3B (5) Cos y= Sin(y+22 degrees)

Differentiate with respect to x (Sec x + Cos x)/ Sin x

Evaluate in simple surd form the following: (1) Sin 225 (2) Cos 195 (3) Sin 345 (4) tan 195

Two ships A and B leave port Y at the same time. A sailed on a bearing of 26 degrees for 30km while B sailed due west of Y for 10km, calculate (a) The distance of line AB (b) The bearing of A from B (c) The bearing of B from A

A bicycle wheel of radius 42cm is rolled over a distance of 66cm. How many revolutions does it make?

Show that Cos 22.5=√2+√2/2

When the polynomial f(x)=(p-1)+x^3+px^2+qx+r, where p, q is divided by (x+2) and (x-1) the remainders are -5 and 4 respectively. If (x+1) is a factor of f(x), find the value of p, q and r, hence factorize f(x) completely.

When the Polynomial p(x)=ax^3+5x^2+bx-2 where a and b are constants is divided by 2x^2+3x-2, the remainder is 9x-6. (I) Find the values of a and b (II) Using these values of a and b, factorize p(x) completely (III) Find the remainder when p(x) is divided...

If y=2xCos2x-Sin2x, find dy/dx when x=π/2.

Given the curve x=t^3+3t-1, y=t^2+4t-4, derive the result dy/dx=2(t+2)/3(t^2+1).

If y=tan^2x, show that d^2y/d^2x=2(1+y(1+3y)

A circle with a radius of 5cm has it radius increasing at the rate of 0.2cm/s. What will be the corresponding increase in the area?

If y=tan^2x, show that d^2y/dx^2=2(1+y)(1+3y)

Find the equation of the circle whose diameter has the end point A(5,4) and B(1,4).

Find the centre of the circle 36x^2+36y^2-24x-36y-23=0

What will be the effect of these salts using either blue or red litmus paper on hydrolysis? (1) copper chloride (CUCl2) (2) copper sulphate (CUSO4) (3) Barium chloride (BaCl2) (4) Ammonium chloride (NH4Cl)

A long rope is fixed at one end, and the free end is made to oscillate in one plane at right angle with a frequency of 4Hz. The successive crest are 0.6cm apart. Calculate the speed of the wave. For what frequency will the wave length be 30cm?

The probability of an event P is 3/4 while that of another event Q is 9/6. If the probability of both P and Q is 1/12, what is the probability of either P or Q.

What is the value of digit 5 in 56?

The probability that John solved a particular problem is 1/3 and the probability that James solved the same problem is 1/5, if they both attempt the problem, what is the probability that it will be solved by at least one of them?

A Geometric progression X has a first term of 4a and its sixth term is 256. Another Geometric progression Y has a first term of 3a and its fifth term is 48. Find the: (i) First term of X (ii) Sum of the first four terms of X

A trader needs $ 300,000to improve her business, she deposits $ 110000 in her savings account at 5% per annum compound interest. She then adds $ 50,000 to her savings at the end of each year. (a) Find her total savings after 3 years. ( b) By how much is h...

A man 1.5m tall, standing on top of a mountain 298.5m high, observes the angles of depression of two flying boats D and C to be 28 degrees and 34 degrees respectively. Calculate the distance between the boats, correct to 1 decimal place.

Find the gradient of the line joining (3,7) and (6,9).Hence, find the acute angle it makes with the positive x- axis.

After t seconds, a particle has covered a distance of S meters, where S=t^3-3t^2+9t+1 Determined the time when: (i) Velocity is zero (ii)Acceleration is zero (b)Find its velocity and acceleration when t=2 seconds. (c) What is the acceleration after 6 seco...

Solve the equation t^2-2t+3=0

Use the binomial theorem to evaluate (1.004)^8 correct to 5 decimal places.

Without using tables find the value of (2+√6)^6+(2-√3)^6

During the electrolysis of Copper (ll) chloride solution, 3.2g of Copper was deposited at the cathode, calculate the volume of chlorine gas evolved at the anode at STP at the same time. Given cu=64, 1F=96500C. Molar volume of gas at STP=22.4/dm^3

Find the centre and radius of a circle 36x^2+24x+36y^2-36y-23=0

Solve the equation x^2-2x+3=0

Answers

The following answers were posted by visitors named Ande2.

If f(t)=2t3+9t2+at-b where a and b are constant,find the values of the constant a and b Hence (1) factorize f(t) completely (2) State the zeros of f(t) (3) find the remainder when f(t) is divided by (t-5)