How far is the given point p(15, -8) from the origin

17 Units

Step-by-step explanation:

This can easily be done by using Pythagorean's Theorem. First realize that going from point (unless in the same x or y value) creates a triangle. When talking about distance we usually do absolute value of the number (essentially -8 becoming 8).

Now that you know that, you want to set this up as the equation for two LEGS. Your hypotenuse will be the distance of the point to the origin. Use this as a reference always: . Now substitute in the rise and run values (no slope) which would be you doing down 8 units and running 15 units, therefore your legs would be 8 units long and 15 units high. The equation will now look like: . Now simplify so that you get 64+225=. Now add, 289=. Now you want to isolate c so that it isn't squared. Do the square root of both values which will leave you with 17=c

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

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.