Answer:
Tn = 64-4n
Step-by-step explanation:
The nth term of an AP is expressed as:
Tn = a+(n-1)d
a is the common difference
n is the number of terms
d is the common difference
Given the 6th term a6 = 40
T6 = a+(6-1)d
T6 = a+5d
40 = a+5d ... (1)
Given the 20th term a20 = -16
T20 = a+(20-1)d
T20 = a+19d
-16 = a+19d... (2)
Solving both equation simultaneously
40 = a+5d
-16 = a+19d
Subtracting both equation
40-(-16) = 5d-19d
56 = -14d
d = 56/-14
d = -4
Substituting d = -4 into equation
a+5d = 40
a+5(-4) = 40
a-20 = 40
a = 20+40
a = 60
Given a = 60, d = -4, to get the nth term of the sequence:
Tn = a+(n-1)d
Tn = 60+(n-1)(-4)
Tn = 60+(-4n+4)
Tn = 60-4n+4
Tn = 64-4n
Answer:
x ≈ 13.5
Step-by-step explanation:
Using the sine rule in the triangle, then
= 
( cross- multiply )
x × sin27° = 11 × sin34° ( divide both sides by sin27° )
x = 
≈ 13.5 ( to the nearest tenth )
Instead, break down the shape into rectangles. Next, calculate the area of both rectangles and add them together. The area of the first rectangle is 72 square centimeters and the area of the second rectangle is 50 square centimeters. Together there are 72 + 50 = 122 square centimeters.
That is how u find a irregular figure..hope this help u
The greatest common factor of the numerator and denominator of the rational expression is x - 4
<h3>How to determine the greatest common factor?</h3>
The fraction expression is given as:
Factorize the numerator and the denominator
Cancel out the common factor
The common factor that was canceled out is x - 4
Hence, the greatest common factor of the numerator and denominator of the rational expression is x - 4
Read more about greatest common factors at:
brainly.com/question/10076354
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