Law of cosines: a2 = b2 + c2 – 2bccos(a) find the measure of q, the smallest angle in a triangle whose sides have lengths 4, 5, and 6. round the measure to the nearest whole degree. 34° 41° 51° 56°

The smallest angle of the triangle will be nearest to 41°.

Explanation:

since, the sides of the triangle are 4,5 and 6.

when we talk about the smallest angle then it must be the opposite angle of side 4.

Thus according to the law of cosines,

(where A(let) be the smallest angle of the triangle.)

⇒16=25+36-60cos(A)

⇒16-61=-60cos(A)

⇒-45=-60cos(A)

⇒ ⇒A=41.4096221093 degree 41°

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.

answer: (1,3) (3,-1) (5,-5) ?

step-by-step explanation: