A cart full of packages weighing 180 pounds is rolling down a ramp 12 feet long at an incline of 25° (the force applied by gravity is equal to the weight of the package). Find the work done by gravity...

A cart full of packages weighing 180 pounds is rolling down a ramp 12 feet long at an incline of 25° (the force applied by gravity is equal to the weight of the package). Find the work done by gravity...

Telephone numbers consist of seven digits; the first digit cannot be 0 or 1. How many telephone numbers are possible?

The height of a flag waving on top of a flag pole is estimated this way: I measure off a distance of 200 ft from the base of the flag pole, and then measure the angle of elevation of the top of the...

Find the magnitude and direction of the resultant of a 5-N force that acts at an angle of 37? clockwise from the +x axis, a 3-N force that acts at an angle of 180? clockwise from the +x axis,...

I have no idea what to do

There are 13 matches in progress. A doubles match requires 4 players, and a singles match requires 2 players. How many matches of each kind are in progress? write a system of equations

The point P (1,-√3) is on the terminal side of an angle (theta) θ in standard position. P lies on a circle with center at the origin

How many pounds of nuts selling for $12 per lb and raisins selling for $6 per lb should a person combine to obtain 120 lb of a trail mix selling for $8 per lb? The person would need ( ) lb...

Working alone, Dan can sweep a porch in 15 minutes. Alberto can sweep the same porch in 11 minutes. If they worked together how long would it take them?

John and Jose each improved their yards by planting grass sod and geraniums. They bought their supplies from the same sore. John spent $84 on 12ft^2 of grass sod and 5 geraniums. Jose spent $140 on...

Please show me how to solve

Bar model too please

A pitcher throws 16 strikes in her first 38 pitches. The table shows how the pitcher’s strike percentage changes if she throws x consecutive strikes after the first 38 pitches. The table shows how...

Pleas help! Not sure how to do this

An inlet pipe on a swimming pool can be used to fill the pool in 30 hours. The drain pipe can be used to empty the pool in 48 hours. If the pool is 1/5 filled and then the inlet pipe and drain pipe...

1. (sec x-1)(sec x+1) = tan2x 2. cot 2θ = cot2 θ-1 -------------...

Shayla bought 18 books for $139. She paid $5 for paperbacks and $12 for hardback books. How many hardback books did she buy?

This problem involves the Rule of 70, which gives quick estimates of the doubling time of an exponentially growing quantity. If r% is the annual growth rate of the quantity, then the Rule of 70 says Doubling...

The City Electric System(CES) recently constructed a major transmission line along parts of South Street in the city. The transmission lines are strung between power poles and the hanging lines form...

The federal building is as much taller than the state building as the state building is taller than the city building. If federal building is 160 ft tall and city is 80 ft tall. How tall is state...