When do we call two quantities incommensurable?  And can you explain the "three construction problems of antiquity"?

Q: 5. A kite 100 feet above the ground is being blown away from the person holding its string in a…

A: So, here x2+1002=s2...(1) Given dxdt=10 Now, at s=200, from (1):…

Q: Two different measurements are made on 1,000 husbands and their wives. If measurements of husbands…

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Q: How do you solve question 3?

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Q: Suppose that two people standing 6 miles apart both see the burst from a fireworks display. After a…

A: Suppose that two people standing 6 miles apart both see the burst from a fireworks display. After a…

Q: A plant grows 1.67 cm in its first week. Each week it grows by 2% more than it did the week before.…

A: Just observe that increment of 2% to the original 100% means 102% which is equal to 1.02

Q: A water trough is 7 feet long, and its cross section is an equilateral triangle with sides 2 feet…

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Q: 1. Two planes leave at the same time. One flies west at 300km/hr. the other flies east at 450 km/hr.…

A: Speed of plane 1:  s1 = 300 km/hr Speed of plane 2:  s2 = 450 km/hr

Q: A water trough is 8 feet long, and its cross section is an equilateral triangle with sides 2 feet…

A: Given thatLength of water trough is 8 feet and cross section is equilateral triangle with side 2…

Q: A high-speed bullet train accelerates and decelerates at therate of 4 fts 2 . Its maximum cruising…

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Q: (2) A stone is thrown vertically upward from the ground with an initial velocity of 40 ft/sec. (2.1)…

A: Topic:-  basic maths  Note :- as per our guideline if more than three subparts need to be answered…

Q: A device has a constant failure rate of A= 10-5 failures per hour. (a) What is its reliability for…

A: Failure rate is the frequency with which an engineered system or component fails, expressed in…

Q: you’re flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 64km south and 128km…

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Q: Find an approximation to the solution rounded to four decimal places. 2 = 3

A: The given equation is  21-x=3.

Q: 10. A stone is dropped from the top of a building 1024 ft. high. When does it hit the ground and…

A: Solution : We have given that a stone is dropped from the top of a building 1024 ft. high. And we…

Q: A water trough Is 15 feet long, and its cross section Is an equilateral triangle with sides 4 feet…

A: Answer is mentioned below

Q: A car traveling at 45 miles per hour is brought to a stop, at constant deceleration, 132 feet from…

A: Given: A car traveling at 45 miles per hour.

Q: Two cars, one going east with the speed of 45 mph while the second car heading south at 70 mph, are…

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Q: 2. Two cars, one going east with the speed of 45 mph while the second car heading south at 70 mph,…

A: Solution ) the rate at which they are approachung each other = 45 + 70  = 115 m/ h For car 1  Speed…

Q: A water trough is 10 feet long, and its cross section is an equilateral triangle with sides 4 feet…

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Q: Temperature has only one scale. O True False

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Q: A plant grows 1.67 cm in its first week. Each week it grows by 2% more than it did the week before.…

A: It is given that the plant grows 1.67 cm in its first week. Each week the plant grows by 2% more…

Q: Suppose you are a pharmacist and a customer asks you thefollowing question. His child is to receive…

A: Given: Total nausea medicine received by child=13.5 mlTotal time period=54 hours To Find: The amount…

Q: 2. A donkey is tethered to a corner of a field which is fenced in two directions. The rope is 10 m…

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Q: The length l of a rectangle is increasing at a rate of 7 cm divided by sec while the width w is…

A: Given:-             The length l of a rectangle is increasing at a rate of 7 cm/ sec while the width…

Q: Two bars of length L have densities r11x2= 4e-x and r21x2= 6e-2x, for 0 … x … L. a. For what values…

A: Given: There are two bars of length L have densities are: r1(x)=4 e-x   r2(x)=6 e-2x for 0≤x≤L We…

Q: A water trough is 8 feet long, and its cross section is an equilateral triangle with sides 4 feet…

A: SOLUTION: Given, a water trough is 8 feet long and its cross-section is an equilateral triangle with…

Q: 17. On a highway with a steep incline, the runaway truck ramp is constructed so that a vehicle that…

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Q: A river 100 ft wide is flowing north at w feet per second. A dog starts at (100, 0) and swims at vo…

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Q: 400 inch-lbs of work is required to stretch a spring from its rest length to 10 inches beyond its…

A: Given:- 400 inch-lbs of work is required to stretch a spring from its rest length to 10 inches…

Q: If the work required to stretch a spring 0.25?? beyond its natural length is 12 ?? − ??, how much…

A:

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: The length l of a rectangle is decreasing at a rate of 2 cm divided by sec while the width w is…

A: Given,           dldt=-2cm/s           dwdt=+2cm/s(a) Area, A=lw              dAdt=ddt(lw)…

Q: 8. A boy on a bike rides north 5 miles, then turns east. If he rides 10 mi/hr., at what rate was his…

A: Given: The following diagram represents the given data:

Q: A water trough is 13 feet long, and its cross section is an equilateral triangle with sides 4 feet…

A: Given:  A water trough is 13 feet long, and its cross section is an equilateral triangle with sides…

Q: The measurement of a side of a square is found to be 5 centimeters, with a possible error of 0.09…

A:

Q: A man, 1.59 m tall is walking on a horizontal street at 2.5 kph away from a vertical street light,…

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Q: How can we use the general definition to prove the theorems?

A: Query- How can we use the general definition to prove the theorems. Answer- A theorem is a statement…

Q: A pedestrian crosses diagonally from one corner of a two kilometer by three kilometer City Park to…

A: Consider the provided question, Given a city park has dimension 2 km x 3 km. Here, width (b) of the…

Q: Two cars start moving from the same point. One travelssouth at 60 mih and the other travels west at…

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Q: At noon,ship a is 130 km west of ship b.Ship a is sailing east at 25 km/h and ship b is sailing…

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Q: A water trough is 11 feet long, and its cross section is an equilateral triangle with sides 3 feet…

A: (a) Height of side of equilateral triangle with side s is,

Q: The sum of two positive numbers is 16. What is the smallest possible value of the sum of their…

A: Let x and y be the values of the two positive numbers whose sum is 16. Need to minimize the…

Q: TWO CARS LEAVE AT THE SAME POINT AT THE SAME TIME IN OPPOSITE DIRECTION IF THE CARS MOVE AT RATES OF…

A: TWO CARS LEAVE AT THE SAME POINT AT THE SAME TIME IN OPPOSITE DIRECTION IF THE CARS MOVE AT RATES OF…

Q: on 16 of 38 Water flows into an empty reservoir at a rate of 3000 + 360t liters per hour (t in…

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Q: A ball is thrown vertically into the air at a velocity of 180 ft/sec. After 5 seconds, another ball…

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Q: 3 A cube of ice is getting larger, increasing its volume by 30cm per minute. How fast are the side…

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Q: A car traveling at 60 ft/sec begins decelerating (time is zero here, as is position) at a constant…

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Q: In times of crisis like the Covid-19 pandemic, the basic needs of humans become in demand. The…

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Q: OH NO!! CERTAIN DOOM: Car A is traveling west at 50 mi/hr and car B is traveling north at 60 mi/hr.…

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Q: 1. A tank is shaped like an upside-down pyramid, with a base of 4 meters and a height of 12 meters.…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.