the minute hand of a clock is 15 mm long and the hour hand is 12 mm. How fast is the distance between the hour hand and the minute hand changing at 2 pm?

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Q: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…

A: Distance travelled in second swing is 80 percent of the first swing ( As it decreases by 20…

Q: . At exactly 5pm., Boyet left Pasay using his car. One  hour later, Joseph left the same place and…

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Q: At noon, ship A is 160 km north of ship B. Ship A is sailing south at 40km/h and ship B is sailing…

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Q: What is the rate at which the two hands of the clock are separating when the time is two o’clock if…

A: Let's find.

Q: A rabbit is traveling at a pace of 250 meters per hour. How fast is the rabbit  traveling in…

A: Given:    Distance = 250 meter per hour

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Q: A kite is 40 ft. high with 50 ft. of cord out. If the kite moves horizontally at 5 mi. per hr.…

A: Draw the position of kite as shown below.

Q: A rubber ball bounces to 3/4 of its initial height when dropped on a hard surface. what is the…

A: Given: The ball is dropped from the height 10 meters. The ball bounces 34 of its initial height.…

Q: 2. Two runners begin jogging in opposite directions from the same point at the same time. One runner…

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Q: A light is hung 6 meters above a straight horizontal path. If a man 2 meters tall is walking toward…

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Q: At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

A: distance between the ship A and B is 150 km speed of ship A is 35km/h so at time t, the distance…

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Q: 4. Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost…

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Q: Suppose that a lawn can be raked by one gardener in 5 hours and by a second gardener in 4 hours. How…

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Q: At noon, ship A is 100 km west of ship B. Ship A is sailing south at 25 km/h and ship B is sailing…

A: The below diagram represents the pictorial representation of the given problem.The position of the…

Q: A 4.5 ft tall man is walking away from a 25 ft tall lamp post.  If he is walking at a rate of 2…

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Q: Two cars that started at the same point are driving away from each other. The first car is driving…

A: Given,          Two cars that started at the same point are driving away from each other. The first…

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Given that  At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B…

Q: A ladder 10 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

A: solution is given below .

Q: At noon, ship A is sailing north at a speed of 7mph, at the same time ship B, 5 miles west of ship…

A: Given, at noon, Ship A is sailing north at a speed of 7mph. At the same time, Ship B, which is 5…

Q: The minute hand of a clock is 8 cm long, and the hour hand is 5 cm long. How fast is the distance…

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Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

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Q: Two people start from the same point. One walks east at 2 km/h and the other walks northeast at 3…

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Q: A boat leaves a dock at 4:00 PM and travels due south at a speed of 20 km/h. Another boat has been…

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Q: A certain clock has an hour hand of length 4 in and a minute hand of length 5 in. In inches per…

A: Using law of cosines the distance between tips when the hands are at angle of θ is:…

Q: 3. A man rows downstream at the rate of 5 mph and upstream at the rate of 2 mph. How far downstream…

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Q: Mitzi drops a ball from a height of 10 m and notices that on each bounce the ball returns to about…

A: Definition used -                               Sum of the infinite geometric series - ( When…

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Q: 9. At noon, ship A is 160 km north of ship B. Ship A is sailing south at 40km/h and ship B is…

A: Given Ship A is 160 km north of ship B Ship A is sailing south at 40Km/h and ship B is sailing east…

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

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Q: If it takes 1.5 hours for 5 workers to carpet 5 rooms in a newly built large motel, where all rooms…

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Q: At noon, ship A is 50km  west of ship B. Ship A is sailing south at 40km/h  and ship B is sailing…

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Q: A girl starting at 11 A.M., travels east at 4 km/hr while a boy, starting at noon from the same…

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Q: How fast is the tip of her shadow

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Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: The record height of a man to date is 8 feet 11 inches (107 inches). If all men had identical body…

A: follow next step

Q: At noon, ship A is 100km100km west of ship B. Ship A is sailing south at 35km/h35km/h and ship B is…

A: Since, ship started at noon or (12:00 pm)Let's assume 't' hours after noon.Ship A is 100km west of…

Q: Suppose a tank contains 600 gallons of salt water. If pure water flows into the tank at the rate of…

A: Given a tank contains 600 gallons  of salt water. Pure water flows into the tank at the rate of 7…

Q: 2. A motorist travels for 20km at one speed, and then increased her speed by 20 kph for next 30 km.…

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Q: A rubber ball is made to fall from a height of 70 feet and is observed to rebound 3/4 of the…

A: The sum, S, of the infinite geometric series, a+ar+ar2+ar3+⋯ is defined as S=a1-r. Here a is the…

Q: 4. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast…

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Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

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Q: How fast is the distance

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Q: The minute hand on a watch is 8 mm long and the hourhand is 4 mm long. How fast is the distance…

A: Let x be the distance between both the hands and  be the angle between both the hands. To compute x,…

Q: A man, running 3 meters per second in an open field, runs east for 30 seconds, then turns north.  If…

A: Since the man ran 3m/s east for 90 sec so he is 90 m from the searchlight. Consider the diagram…

Q: Initially, a pendulum swings through an arc of 2 meters. On each successive swing, the length of arc…

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Q: rectangle has one side of 11 cm. How fast is the area of the rectangle changing at the instant when…

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Q: A man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 mi. Because he…

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Q: A man, 1.84 m tall is walking on a horizontal street at 3.9 kph away from a vertical street light,…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.