The measure of one angle of a right triangle is 12 degrees more than the measure of the smallest angle. find the measures of all three angles.

90°, 51° and 39°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Let the smallest angle be x then the other angle is x + 12, thus

x + x + 12 + 90 = 180, that is

2x + 102 = 180 ( subtract 102 from both sides )

2x = 78 ( divide both sides by 2 )

x = 39

The other angle is 39 + 12 = 51

The 3 angles are 90°, 51° and 39°

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation:

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.