The point was reflected over the y-axis and translated up 4 units, because when it was reflected over the y-axis, the coordinates became (-5, -2), and after getting translated up 4 units, the coordinates became (-5,2).
Hello there!
<u><em>Answer: ⇒⇒=1975</em></u>
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Step-by-step explanation:
First you had to multiply by the number.

1975 is the right answer.
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Hope this helps!
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-Charlie
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1035.33156649 meters high is the helicopter flying over the building.
Given that, an observer (O) is located 900 feet from a building (B). The observer notices a helicopter (H) flying at a 49° angle of elevation.
We need to find how high is the helicopter flying over the building.
<h3>How to find the height of the building using trigonometry?</h3>
To measure the heights and distances of different objects, we use trigonometric ratios.
Here, use the Tangent rule to calculate the height of the building.
tan(angle) = opposite/adjacent
Now, tan 49°=h/900
⇒h=1035.33156649 meters
Therefore, 1035.33156649 meters high is the helicopter flying over the building.
To learn more about the angle of elevation visit:
brainly.com/question/21137209.
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Answer:
E. -0.723
Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.
Step-by-step explanation:
Information provided
represent the sample mean for the length
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level
t would represent the statistic
represent the p value for the test
System of hypothesis
We need to conduct a hypothesis in order to check if the lathe is in perfect adjustment (6cm), then the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
since we don't know the population deviation the statistic is:
(1)
Replacing in formula (1) we got:
E. -0.723
P value
The degrees of freedom are given by:
Since is a two tailed test the p value would be:
Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.