A rectangular plate has a length of (22.4 ± 0.2) cm and a width of (8.4 ± 0.1) cm. Calculate the area of the plate, including its uncertainty.

Answers

Answer 1
Answer: Area of the rectangle = Length  x  Width
We will calculate the percentage of uncertainties. 
For a length: p 1 = ( 0.2 · 100 ) : 22.4 = 20 : 22.4 = 0.893
For a width: p 2 =  ( 0.1  · 100 ) : 8.4 = 10 : 8.4 = 1.190
p 1 + p 2 = 0.893 + 1.190 = 2.083 %
A = 22.4 · 8.4 = 188.16 +/-  2.083 %
 Uncertainty: 188.16 · 0.02083  = 3.92 
A = 188.16 +/- 3.92 cm²     

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Bats use high frequency.  Whenever somebody says a quantity is "high",
you have to ask "compared to what ?". In this case, it's compared to human
hearing ... we can't hear bats at all, or if we can, it just sounds like a 'click'.

Answer:

Both use reflected sound waves.

Regarding Indonesia, which of the following statements is false

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Sukarno was succeeded by Suharto.  So choice ' C ' is false.

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an apple in a tree has a gravitational potential energy of 175J and a mass of 0.36g . how high from the ground is the apple

Answers

Final answer:

The height of the apple from the ground can be calculated using the formula for gravitational potential energy. Given the apple's mass and its potential energy, we find that the apple is approximately 5000 meters from the ground.

Explanation:

The gravitational potential energy of an object can be calculated using the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity (9.8 m/s² on Earth), and h is the height of the object from the ground. In this case, the apple's gravitational potential energy is given as 175J, its mass is 0.36g (or 0.00036 kg when converted.)

To find the apple's height from the ground, you need to rearrange the formula to solve for h: h = PE / (m * g). Substituting the given values in the formula, h = 175 J / (0.00036 kg * 9.8 m/s²), you get approximately h = 5000 meters.

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This is called a subduction zone. The two plates converge, but one is forced under the other.

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For the answer to the question above asking, if early treatment for mental illness involved a0 because doctors believed that doing this would drain the mental illness out of the person’s body.
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In a laboratory experiment, an ultrasound detector located at D is used to measure the distances of two moving objects, P and Q. At a certain moment, P and Q are located as shown in the diagram. What is distance PQ?. a) 6.82. b)5.66. c)4.74. d)4.24. e)3.89. .

Answers

Triangle PDQ has: 

     Side "p" is opposite Angle P 

     Side "d" is opposite Angle D = 45º + 23º = 68º 

     Side "q" is opposite Angle Q 


Use the Law of Cosines: 

         d²  =  p²  +  q²   −   2 • p • q • cos(D) 

         d²  =  (4.24)²  +  (4.24)²   −   2 • (4.24) • (4.24) • cos(68º) 

         d²  =  2(4.24)²   −   2(4.24)² • cos(68º) 

         d²  =  2(4.24)² • [ 1 – cos(68º) ] 

         d  =  4.74 ft

The distance PQ is 4.74 feet.

Calculations and Parameters:

Triangle PDQ has:

  •     Side "p" is opposite Angle P
  •     Side "d" is opposite Angle D = 45º + 23º = 68º
  •     Side "q" is opposite Angle Q

If we use the Law of Cosines:

d²  =  p²  +  q²   −   2 • p • q • cos(D)

d²  =  2(4.24)² • [ 1 – cos(68º) ]

d  =  4.74 ft

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