Convert the mixed number to an improper fraction. enter your answer below using the slash mark ( / ) as the fraction bar
1 answer:
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Answer: The correct option is figure (1).
Explanation:
Reason for correct option:
The figure (1) shows the reflection across the side XY followed by reflection across the side YT.
When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.
After that we reflect the triangle XYT across the side YT and we get the triangle PYT.
Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.
Reason for incorrect options:
The figure (2) shows the rotation of 180 degree along the point y.
The figure (3) shows the reflection across the side XY followed by the translation.
The figure (4) shows the reflection, followed by rotation , followed by translation.
Answer:
911,690.
Step-by-step explanation:
Please consider the complete question.
A city has a population of 390,000 people. Suppose that each year the population grows by 6.75%. What will the population be after 13 years? Round your answer the nearest whole number.
We will use exponential growth formula to solve our given problem.
, where,
y = Final value,
a = Initial value,
r = Growth rate in decimal form,
To find the population after 13 years, we will substitute in population growth equation as:
Upon rounding to nearest whole number, we will get:
Therefore, the population of the city after 13 years would be 911,690.