In DEF,the measure of F=90, FD=75 feet, and EF=95 feet. Find the measure of D to the nearest tenth of a degree
1 answer:
Answer:
The found angle D is:
D = 51.7°
Step-by-step explanation:
We have a right angle triangle with the right angle at F.
The given right angle triangle is shown in the diagram below.
EF = 95ft ⇒ Perpendicular of the triangle
FD = 75 ft ⇒ Base of the triangle
We have to find angle D.
Lets find angle D by using tan.
We know that
tan D = Perpendicular of the triangle / Base of the triangle
tan D = 95/75
D = tan⁻¹ (95/75)
D = 51.70983°
Rounding off the found angle to nearest 10th of a degree.
D = 51.7°
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Answer:
Low Q1 Median Q3 High
6 9 11 12.5 14
The interquartile range = 3.5
Step-by-step explanation:
Given that:
Consider the following ordered data. 6 9 9 10 11 11 12 13 14
From the above dataset, the highest value = 14 and the lowest value = 6
The median is the middle number = 11
For Q1, i.e the median of the lower half
we have the ordered data = 6, 9, 9, 10
here , we have to values as the middle number , n order to determine the median, the mean will be the mean average of the two middle numbers.
i.e
median =
median =
median = 9
Q3, i.e median of the upper half
we have the ordered data = 11 12 13 14
The same use case is applicable here.
Median =
Median =
Median = 12.5
Low Q1 Median Q3 High
6 9 11 12.5 14
The interquartile range = Q3 - Q1
The interquartile range = 12.5 - 9
The interquartile range = 3.5