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victus00 [196]
3 years ago
8

Hawick is 1515 miles south of Abbotsford, and Kelso is 1717 miles east of Abbotsford. What is the distance from Hawick to Kelso?

Round your answer to the nearest tenth of a mile.

Mathematics
2 answers:
hammer [34]3 years ago
8 0

Answer:

The answer is 26.7

Step-by-step explanation:

I got it right from Khan Academy. First you get 22.67 miles but then you have to round it to the nearest tenth to get 22.7

Mashcka [7]3 years ago
5 0

Answer:

As per the statement:

Hawick is 15 miles south of Abbotsford, and Kelso is 17 miles east of Abbotsford.

Let  H represents  Hawick , A represents Abbotsford and K represents Kelso

See the diagram as shown below:

Distance of AH = 15 miles

Distance of AK = 17 miles.

We have to find the distance HK:

Using Pythagoras theorem;

\text{Hypotenuse side}^2 = \text{Adjacent side}^2 + \text{opposite side}^2

then;

\text{HK}^2 = 15^2+17^2 = 225 + 289 = 514

or

HK = \sqrt{514} =22.671581 miles.

Therefore, the distance from Hawick to Kelso( to the nearest tenth place) is 22.6 miles

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elena-s [515]

Answer:

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  • 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

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<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.

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<em>Alternate solution</em>

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

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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
Sixty-eight percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adu
Pavlova-9 [17]

Answer:

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Standard deviation = 1.0431

Step-by-step explanation:

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The standard deviation s is the square root of the variance s^2, so

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Answer:

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Step-by-step explanation:

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