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dsp73
2 years ago
8

An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. What are two constants of proportionali

ty for the relationship between distance in kilometers
Mathematics
1 answer:
kotegsom [21]2 years ago
4 0

Answer:

<h3>50</h3>

Step-by-step explanation:

Given

Distance covered by the bird = 400km

Time taken = 8 hours

Using the formula;

Speed = Distance/Time

S = d/t

Find the speed first:

S = 400km/8hr

S = 50km/hr

Substitute back into the formula:

S = d/t

50 = d/t

50t = d

d = 50t

This means that the distance d is directly proportional to the time with 50 as the constant of proportionality.

Hence the constant of proportionality for the relationship between distance in kilometers is 50.

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The questions are illustrations of trigonometry ratios and right triangles

  • The value of x is 11.8310
  • The tree is 23.3154 feet tall
  • The depth of the sub is 376.7770 meters

Trigonometry ratio

Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.

<h3>Question 1</h3>

The value of x is calculated using the following sine trigonometry ratio

\sin(25) =\frac{5}{x}

Make x the subject

x =\frac{5}{\sin(25)}

This gives

x =11.8310

Hence, the value of x is 11.8310

<h3>Question 2</h3>

This question is illustrated by the first diagram in the attached figure

The height (h) of the tree is calculated using the following tangent trigonometry ratio

\tan(25) =\frac{h}{50}

Make h the subject

h = 50 \times \tan(25)

This gives

h = 23.3154

Hence, the tree is 23.3154 feet tall

<h3>Question 3</h3>

This question is illustrated by the second diagram in the attached figure

The depth (h) of the sub is calculated using the following tangent trigonometry ratio

\tan(37) =\frac{h}{500}

Make h the subject

h = 500 \times \tan(37)

This gives

h = 376.7770

Hence, the depth of the sub is 376.7770 meters

Read more about trigonometry ratios at:

brainly.com/question/6241673

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