Using a proportional relationship, we have that:
- a) The constant of proportionality is of 0.625, hence the equation is:
.
- b) The distance of two cities that are 5 miles apart is of 8 kilometers.
- c) When they are 200 kilometers apart, we have that the distance in miles is of
.
<h3>What is a proportional relationship?</h3>
- A <em>proportional relationship</em> is a function in which the <u>output variable is given by the input variable multiplied by a constant of proportionality</u>, that is:.
- In which k is the constant of proportionality.
Item a:
From the graph, when x = 8, y = 5, hence:
The constant of proportionality is of 0.625, hence the equation is: .
Item b:
From the graph, when y = 5, x = 8, hence:
- The distance of two cities that are 5 miles apart is of 8 kilometers.
Item c:
When they are 200 kilometers apart, we have that the distance in miles is of .
You can learn more about proportional relationship at brainly.com/question/13550871
Answer:
The shaded area is 314.2 cm²
Step-by-step explanation:
Here we note that the shape consists of two small circles and one larger circle
The diameter of the larger semicircle is subtended by the two smaller semicircles, the small semicircle closer to the left of the internal circumference of the larger semicircle is shaded one while the one on the right is without color,
Therefore,
Diameter of larger semicircle = 2 × 10 = 20 cm
Based on the diagram, the shaded area is observed to be;
Shaded area = Area of semicircle formed by larger diameter or 20 cm + Area area formed by the small semicircle close to the right of the internal circumference of the larger semicircle - Area area formed by the other smaller semicircle
Since the diameter and therefore the areas of the two small semicircles are equal, we have;
Shaded area = Area formed by the complete larger semicircle = Area of semicircle formed by larger diameter or 20 cm
∴ Shaded area = π·D²/4 = π×20²/4 = 100×3.142 cm² = 314.2 cm².
Answer:
C or d
Step-by-step explanation:
The bottom left option is when it is reflected over the x axis, the second to last option on the left is when it is reflected of the y axis, and the middle option is when it is reflected over the line y = x
Hope this helps :)
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