The point J(-2, 3) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, J′?

J' (3, 2)

Step-by-step explanation:

when a point is rotated 90 degrees clockwise, the point goes from (x, y) to (y, -x). You can imagine this rule or come up with it by doing a rotation on a graph, but really it's just a rule you should memorize.

So, apply (x, y) --> (y, -x) to this point:

(-2, 3) --> (3, 2)

J' (3, 2)

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:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.