Answer:
The 8th term of the sequence is 896/2187.
Step-by-step explanation:
We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.
We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:
Where <em>a</em> is the initial term and <em>r</em> is the common ratio.
Substitute:
To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:
In conclusion, the 8th term of the sequence is 896/2187.
Answer:
m∠ABE = 27°
Step-by-step explanation:
* Lets look to the figure to solve the problem
- AC is a line
- Ray BF intersects the line AC at B
- Ray BF ⊥ line AC
∴ ∠ABF and ∠CBF are right angles
∴ m∠ABF = m∠CBF = 90°
- Rays BE and BD intersect the line AC at B
∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure
∴ BE is the bisector of angle ABD
∵ m∠EBF = 117°
∵ m∠EBF = m∠ABE + m∠ABF
∵ m∠ABF = 90°
∴ 117° = m∠ABE + 90°
- Subtract 90 from both sides
∴ m∠ABE = 27°
Median is the middle number
60, 60, 65, 70, 70, 85, 90
70 is your median
mode is the number(s) that show up the most
60 and 70 is your mode, since they show up twice (one more than the others)
Range is largest number minus the smallest
90 - 60 = 30, 30 is your range
Mean is all the numbers added together divided by the number of numbers there are
60 + 90 + 65 + 70 + 70 + 85 + 60 = 500
500/7 = 71.42
Mean = 71.42
hope this helps
Answer= 70.7 meters.
Step-by-step explanation:
We have been given that Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 50 meters.
Since we know that diagonal of a square is product of side length of square and . So we will find diagonal of our given square plaza by multiplying 50 by .
Therefore, diagonal distance across the plaza is 70.7 meters.
The same thing to the other side
