Un robot en Marte tiene los siguientes desplazamientos antes de lograr encontrar el lugar con las coordenadas indicadas para empezar a analizar . Su desplazamiento es de: 25 m al Sur, 35 m a 15° partiendo del Este hacia el Norte y por último 20 m a 37° partiendo del Oeste hacia el Norte. Encuentra el desplazamiento de su recorrido

Answers

Answer 1

Answer:

El desplazamiento total del robot es de aproximadamente 17.4 m 12.35° al sur del este

Step-by-step explanation:

El movimiento del robot en Marte se da como sigue;

1) El desplazamiento sur = 25 m

2) El desplazamiento 15 ° al norte del este = 35 m

3) El desplazamiento 37 ° al norte del oeste = 20 m

Por lo tanto, tenemos la moción en forma vectorial;

1) -25[tex]\hat j[/tex]

2) 35·cos(15°)[tex]\hat i[/tex] + 35·sin(15°)[tex]\hat j[/tex]

3) -20·cos(37)[tex]\hat i[/tex] + 20·sin(37°)[tex]\hat j[/tex]

Por lo tanto, tenemos el desplazamiento resultante total, R, del robot está dado por la suma de los vectores como sigue;

R =  (35·cos(15°) - 20·cos(37)) [tex]\hat i[/tex] + (35·sin(15°) + 20·sin(37°) - 25)[tex]\hat j[/tex]

R = 17.8346937192 [tex]\hat i[/tex] - 3.9050329583 [tex]\hat j[/tex]  

La magnitud de R = √ ((17.8346937192) ² + (-3.9050329583) ²) ≈ 17.4 m

La magnitud de R ≈ 17,4 m

La dirección de R = Arctan ((- 3.9050329583) / (17.8346937192)) ≈ -12.35 °

La dirección de R ≈ -12,35 °

La dirección es aproximadamente 12,35 ° al sur del este

El desplazamiento total del robot es de aproximadamente 17.4 m 12.35 ° al sur del este


Related Questions


Solve: 4 − 2(2x − 7) = −6.
A) −6
B) −5
C) −3
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Answers

Answer:

x = 6

Step-by-step explanation:

4 − 2(2x − 7) = −6.

Distribute

4 -4x +14 = -6

Combine like terms

18-4x = -6

Subtract 18 from each side

18 -4x-18 = -6-18

-4x = -24

Divide each side by -4

-4x/-4 = -24/-4

x = 6

Which are the partial products of 3,706 × 4?

Answers

Answer:

14824

Step-by-step explanation:

the product is 14824

A speedboat, at full throttle, can go 65.0 miles in 1.5 hours. What is the average speed of the boat?

Answers

the average speed is about 40

ASAP ASAP ASAP
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Answer:

D i'm pretty sure

Step-by-step explanation:

Answer: $2.19

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0.05 is 1/10 value of what number

Answers

Answer:

1/2=x

0.5

Step-by-step explanation:

x will be the number

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Not sure how to do this

Answers

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Answers

Answer:

x = 37, y = 9

Step-by-step explanation:

3x + 11 and x + 21 are same- side interior angles and are supplementary, thus

3x + 11 + x + 21 = 189 , that is

4x + 32 = 180 ( subtract 32 from both sides )

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x = 37

--------------------------------

3x + 11 = 3(37) + 11 = 111 + 11 = 122

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25 points help me please

Answers

Answer:

we need to know what the question is.

Step-by-step explanation:

A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to determine b2, the length in inches of the second base of the trapezoid.
12(4.5+b2)(6)=21

Answers

Answer:

2.5in

Step-by-step explanation:

Given parameters;

  Base = 4.5inches

   Height = 6inches

    Area  = 21in²

Unknown:

b₂ = ?

Solution:

 Formula for finding the area of a trapezium;

         A = [tex]\frac{1}{2}[/tex][tex](b_{1} + b_{2} )[/tex] x h

     Input the parameters and solve for b₂;

      21  =  [tex]\frac{1}{2}[/tex][tex](4.5+ b_{2} )[/tex] x 6

   

       21 = 3(4.5 + b₂)

       21 = 13.5 + 3b₂

      21 - 13.5 = 3b₂

     b₂ = 2.5in

Determine if the function shows a linear relationship or an absolute value relationship. Then evaluate the
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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

12.0625

Step-by-step explanation:

Im not sure but im pretty sure it's correct

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Answers

Answer:

3-6 I think

Step-by-step explanation:

3-6
3 yellow
6 red
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20b-16




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Answers

Hey :)

20b−16


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= 4(5b−4)

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1. You decide to buy some new clothes. The subtotal comes to $123.79, but
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Answers

Answer:

$105.22

Step-by-step explanation:

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Answer:

I cant see

Step-by-step explanation:

Answer:

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Step-by-step explanation:

In the image above, what do the red arrows on lines mean?

Answers

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Tom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feetTom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feet

Answers

Answer:

10,500.93 feet

Step-by-step explanation:

From the question, we are told that Tom walks 3.2km every morning.

1 mile = 1.609km

1 mile = 5280 feet

Step 1

1.609km = 1 mile

3.2km = x mile

Cross Multiply

x mile × 1.609km = 3.2km × 1 mile

x mile = 3.2km × 1 mile/1.609.

= 1.9888129273 miles

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Cross Multiply

y = 1.9888129273 × 5280 feet/1 mile

= 10500.932256 feet

Approximately = 10,500.93 feet

Therefore, Tom walks for 10,500.93 feet

10560

Answer:

10,500.93 feet

Step-by-step explanation:

The U.S. Capital building includes a statue on top representing freedom. If a person stood outside the building with a direct line-of-sight of 983 feet to the top of that statue and an angle of elevation of 17o , what would be the distance from the ground below the statue to the top of the statue?

Answers

Answer:

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Step-by-step explanation:

Evaluate
p
+
(

q
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Answers

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Answers

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(−45)(158)(73)(−1)
QUICK

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

y=5x+9

Step-by-step explanation:

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Answers

Answer:

personally I believe its 6..

Step-by-step explanation:

10% of 200 is 20. if 10% is 20 then each part would equal 2. 2×3 is equal to 6

Answer:

$203

Step-by-step explanation:

To find the cost he pays back you need to mulitply 200 x 3% x 6 months.

Because you can't multiply with different units, you convert them to the same unit. (Numeric form)

To convert, we divide 3% by 100 and get 0.03

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200(0.03)(0.5)

200 x 0.03 is 6

6 x 0.5 is 3.

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200+3=203.

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Answers

Answer:

Step-by-step explanation:

23.74, .43, .2734, .0347, .0043

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Answers

Answer:

x = undefined

Step-by-step explanation:

Expand brackets

4x - 1 = 4x + 4

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

He didn't expand properly.

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Step-by-step explanation:

4(1 + 3i) - (8 - 5i)

Expand:

4 + 12i - 8 + 5i

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Answer:

A on edge2020

Step-by-step explanation:

did the test

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