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mr_godi [17]
2 years ago
12

Can someone please help with this question. 20 points up for grabs!!

Mathematics
1 answer:
Allushta [10]2 years ago
7 0

Based on the railway timetable given, the time the first train reaches Oakengates is 0815.

The time taken to reach Shrewsbury from Telford Central is 22 minutes.

<h3>What does the train timetable show?</h3>

Oakengates is 2 minutes away from Telford Central so when a train leaves the latter and arrives at 0815, this is the first train to Oakengates.

If one left Telford Central at 0852, they would reach Shrewsbury at 0914 to make it:

= 0914 - 0852

= 22 minutes

Find out more operations involving train timetables at brainly.com/question/21654749

#SPJ1

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Assume that ∠A  is an acute angle. If sin A = 0.994, use a calculator to find the measure of ∠A to two decimal places.   The mea
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Basically, you are looking for the ARC SINE of .994 which is
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You could also use an online calculator:
http://www.1728.org/trigcalc.htm


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A can of chicken stock measures 3.5 inches in diameter and is 5 inches tall. What is the volume of the can? Use 3.14 for pi. Rou
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Given that tan θ ≈ −0.087, where 3 2 π &lt; θ &lt; 2 , π find the values of sin θ and cos θ.
elena-s [515]

Answer:

  • sin θ ≈ -0.08667
  • cos θ ≈ 0.99624

Step-by-step explanation:

Straightforward use of the inverse tangent function of a calculator will tell you θ ≈ -0.08678 radians. This is an angle in the 4th quadrant, where your restriction on θ places it. (To comply with the restriction, you would need to consider the angle value to be 2π-0.08678 radians. The trig values for this angle are the same as the trig values for -0.08678 radians.)

Likewise, straightforward use of the calculator to find the other function values gives ...

  sin(-0.08678 radians) ≈ -0.08667

  cos(-0.08678 radians) ≈ 0.99624

_____

<em>Note on inverse tangent</em>

Depending on the mode setting of your calculator, the arctan or tan⁻¹ function may give you a value in degrees, not radians. That doesn't matter for this problem. sin(arctan(-0.087)) is the same whether the angle is degrees or radians, as long as you don't change the mode in the middle of the computation.

We have shown radians in the above answer because the restriction on the angle is written in terms of radians.

_____

<em>Alternate solution</em>

The relationship between tan and sin and cos in the 4th quadrant is ...

  \cos{\theta}=\dfrac{1}{\sqrt{1+\tan^2{\theta}}}\\\\\sin{\theta}=\dfrac{\tan{\theta}}{\sqrt{1+\tan^2{\theta}}}

That is, the cosine is positive, and the sign of the sine matches that of the tangent.

This more complicated computation gives the same result as above.

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3 years ago
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