Abicyclist is riding to the left with a velocity of 14 m/s . after a steady gust of wind that lasts 3.5 s, the bicyclist is moving to the left with a velocity of 21 m/s
assuming the acceleration is constant, what is the acceleration of the bicyclist?

He accelerated from 14 m/s to 21 m/s in 3.5s so

2 meters per second per second

2 m/s²

Step-by-step explanation:

A bicyclist is riding to the left with a velocity of 14 m/s.

Initial velocity, u = 14 m/s

After a steady gust of wind that lasts, t = 3.5 s

The bicyclist is moving to the left with a velocity of 21 m/s

Final velocity, v = 21 m/s

Hence, The acceleration of the bicyclist is 2 m/s²

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15