Asled is being pulled across a floor by two ropes such that the angle between them is 60 degrees. if the forces on the ropes are 100 pounds and 80 pounds. what is the resultant of the forces.

58 lb

Step-by-step explanation:

We can draw a vector triangle with the 100 lb force vector starting at the tip of the 80 lb vector. Then the resultant force vector C will be the third side of the  

triangle, and the angle opposite this third side will be 180 - 60 = 120 degrees.

Then using the Cosine rule  

C^2 = 80^2 + 100^2 - 2*80*100*cos(120)

       = 3373. 1045

C^2 = 3373.1045

C =  58 lb

The resultant force = 58 lb  

costs the what? what is the cost of the pants?

step-by-step explanation:

if it is $10, then the price is 14.

take 40% of the cost, and then add the cost.

40% of 10 = 4

4+10 = 14.

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.