Answer:
an=1*2.5^(n-1)
=2.5^(n-1)
Step-by-step explanation:
Complete question below:
What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
Solution
Point (1, 1), (2, 2.5), (3, 6.25).
a=1
ar=2.5
ar^2=6.25
From ar and ar^2
r=6.25/2.5
=2.5
r=2.5
an=ar^(n-1)
Therefore, the explicit formula is
an=1*2.5^(n-1)
=2.5^(n-1)
arcsin(1/2) means "the angle whose sine is 1/2".
That's 30° .
y = cos(30°) = (1/2)√3 = about 0.866 .
Answer:
New area is 175 42/45 feet ²
Step-by-step explanation:
Given data
Length l= 15 1/4
To proper fraction = 61/4 feet
Width w= 8 11/15
To proper fraction = 131/15 feet
Extention = 1 2/3
To proper fraction = 5/3
Dimensions of new rectangle
Length =61/4+5/3 = 183+20/12
LCM = 12 = 203/12
Width = 131/15+5/3= 131+25/15
LCM = 15 = 156/15
Area = 203/12*156/15= =31668/180
=31668/180
= 7917/45
= 175 42/45 feet ²
To add or sum this arrary, beg ∈ {array} {r} 37 \202\ + 160/ ∈ end {array} gives <u>A) 399</u>.
<h3>What is an array?</h3>
An array is a data structure made up of some elements.
The sum of all elements in an array is found by adding up the elements in the array.
<h3>Data and Calculations:</h3>
Elements of the array = 37, 202, and 160
The sum of the array, 37 + 202 + 160 = 399
Thus, to add or sum this arrary, beg ∈ {array} {r} 37 \202\ + 160/ ∈ end {array} gives <u>A) 399</u>.
Learn more about arrays at brainly.com/question/23698059
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<h3>Question:</h3>
Add beg ∈ {array} {r} 37 \202\ + 160/ ∈ end {array}
<h3>Answer Options:</h3>
A) 399
B) 389
C) 400
D) 409
