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andreyandreev [35.5K]
2 years ago
13

5. On a college campus, the library is 80 yards due east of the dormitory and the recreation center is due north of the

Mathematics
1 answer:
Luda [366]2 years ago
5 0

The length of the new sidewalk between the Dormitory to the recreation center is 143 yards

We need to understand the concept of Bearing and Distance in order to be able to determine how long is the new sidewalk.

<h3>What are Bearing and Distance?</h3>

The Bearing of an angle measures the movement of an angle in a clockwise direction starting from the North Pole. However, the distance shows how the length of the sides of the angle can also be measured.

From the diagram attached below:

  • The adjacent of the sidewalk way = 80 yards.
  • The hypotenuse shows the new sidewalk way  = x( unknown)
  • The angle θ = 56°

Using the relation from trigonometry:

\mathbf{Cos \ \theta = \dfrac{adjacent}{hypotenuse}}

\mathbf{Cos \ 56 = \dfrac{80 \ yards }{x}}

\mathbf{x= \dfrac{80 \ yards }{Cos \ 56 }}

\mathbf{x= 143.06 \ yards}

x ≅ 143 yards

Learn more about Bearing and distance here:

brainly.com/question/17007896

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jekas [21]

The value of k in the translated graph of f(x - h) + k is; k = 2

<h3>How to carry out Translations on Graphs?</h3>

We are given the parent function of f(x) = x³.

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The rule of translation is;

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The equation of the translated graph is equal to;

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Thus;

The value of k is equal to 2.

Read more about Graph Translations at; brainly.com/question/4025726

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A translation is performed on the pre-image LMN. the coordinates of l are (-2,0)
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Rotation.


Hope this helps!

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Jack broke apart 5x216 as (5x200)+(5x16) to multiply mentally. What strategy did Jack use?
Sveta_85 [38]

For this case we have the following multiplication:

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Answer:

Jack's strategy is:

Write the number in an expanded form and then apply the distributive property.

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Step-by-step explanation:

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More information is needed to solve the problem.

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