The sum of the sequence is 750
<h3>How to determine the sum of the series?</h3>
The series is given as:
150, 120, 96, and 76.8,
Start by calculating the common ratio using:
r = T2/T1
This gives
r = 120/150
r = 0.8
The sum of the series is then calculated as:

This gives

Evaluate
S = 750
Hence, the sum of the sequence is 750
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Set them equal to each other and solve
3x + 39 = 4x +34
-x=-5
X=5
Plug it in
3(5) + 39 = 54
4(5) +34 = 54
For the final angle ,
54 + 54 = 108
180-108 =72
The angle measures are 54,54, and 72
Answer:
Approximately mMK is 53 degrees
Step-by-step explanation:
Here, we want to find the length of MK
As we can see, we have a right triangle at LNK
so
let us find the angle at L first
9 is adjacent to the angle at L and also, 15 is the hypotenuse of the angle at L
so the trigonometric identity that connects adjacent to the hypotenuse is the cosine
It is the ratio of the adjacent to the hypotenuse
So;
cos L = 9/15
L = arc cos (9/15)
L = 53.13 degree
Approximately, L = 53 degrees
so now, we want to get the arc length MK
We are to use the angle-arc relationship here
Using this; arc length MK is equal to the measure of L at the center which is 53 degrees
Answer:
-2
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
we know that
The rate of change of a linear equation is a constant that is the same that the slope
step 1
we have
The equation of the graph (function 1) is equal to
y=4
Is a horizontal line
The slope is equal to zero
so
The rate of change of function 1 is zero
step 2
The equation of the function 2 is

This is a linear equation in slope intercept form
where
the slope is equal to m=8
so
The rate of change of function 2 is 8
therefore
The rate of change of function 2 is 8 more than the rate of change of function 1