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3 years ago

K + 1= -27 Last one I need this one right

Mathematics

2 answers:

faltersainse [42]3 years ago

8 0

Answer:

$k=-28$

Step-by-step explanation:

$k+1=-27$

Subtract 1 from both sides:

$k+1-1=-27-1$

$k=-28$

Effectus [21]3 years ago

6 0

The answer would be -28

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Lyra's speed of travel is 6.71 feet per seconds and Lyra's direction of travel is 27 degrees north of east

<h3>How to determine the speed of travel?</h3>

The diagram that represents the scenario is added as an attachment.

Let x represents Lyra's speed of travel.

The value of x is calculated using the following Pythagoras theorem.

$x = \sqrt{3^2 + 6^2}$

Evaluate the exponents

$x = \sqrt{9 + 36}$

Evaluate the sum

$x = \sqrt{45}$

Evaluate the exponent

x = 6.71

Hence, Lyra's speed of travel is 6.71 feet per seconds

<h3>How to determine the direction of travel?</h3>

The direction (∅) is calculated using the following tangent ratio.

$\tan(\theta) = \frac 36$

Evaluate the quotient

$\tan(\theta) = 0.5$

Take the arc tan of both sides

$\theta = \tan^{_1}(0.5)$

Evaluate

$\theta = 27$

Hence, Lyra's direction of travel is 27 degrees north of east

Read more about speed and distance at:

brainly.com/question/4931057

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