Answer:
The equation is:
The sum is:
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If the sequence is infinite, the formula is:
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Step-by-step explanation:
We must calculate the radius of the geometric series
The first term of the series is:
The last term of the series is:
If the sequence is finite then the formula is:
If the sequence is infinite then by definition as the radius are then the formula for the sum of the geometric sequence is:
Answer:
y = 9x -83
Step-by-step explanation:
Parallel lines will have the same slopes but different b values so we know that the base of this equation will be
y = 9x +b
To find b we must plus in the given coordinates and determine which value of b makes the statement true.
16 = 9(11) + b
16 = 99 + b
b = -83
Therefore the new equation will be:
y = 9x -83 or y-16 = 9(x-11)
Answer:
37 cm is 0.37 meters
Step-by-step explanation:
Very simple, you divide the cm by 100 and for the second question do the opposite, multiply cm by 100.
1m = 100 cm
X = 15
y = 21
First, solve for x on the right side triangle by adding angles and equaling to 180.
Now since you know the x value, solve the middle angle for the left side triangle. Add all angle on left triangle and equal them to 180.
Check out the pic.
Answer:
= 140.544cm^2
Step-by-step explanation:
Given data
a is the radius=4cm
b is the lenght= 10cm
We two circles, hence the area of the circles is given as
Area= 2(πr^2)
Area= 2(3.142*4^2)
Area= 2(50.272)
Area= 100.544cm^2
Area of the rectangular shape= 4*10= 40cm^2
Hence the total area = 100.544+40
= 140.544cm^2