If 2-4=20 than x is equal to 12
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:
A: 34 degrees
B: 102 degrees
Step-by-step explanation:
Complementary angles = 90 degrees
Supplementary angles = 180 degrees
(a) 90 - 56 = 34
(b) 180 - 78 = 102
Answer:
16.5 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the other leg, then
x² + 13² = 21²
x² + 169 = 441 ( subtract 169 from both sides )
x² = 272 ( take the square root of both sides )
x =
≈ 16.5 cm ( to the nearest tenth )
Answer:Dave flipped a coin 20 20 2020 times and got heads on 8 8 88 of the flips. Based on Dave's results, what is the experimental probability of the coin landing
Step-by-step explanation: