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  

false

step-by-step explanation:

4y - 6 + 4y^2 - 9

before simplifying this contains 4 terms

after simplifying

4y -15 + 4y^2

it contains 3 terms

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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