The tangent of the angle is
... tan(α) = ay/ax = -8.6/6.1
Then the angle (measured CCW from +x) is
... α = arctan(-86/61) ≈ 305°
A) mean score = (18+25+28+15+6+18+2+4+25+15)/10
= 15.6 runs
Approximately 16 runs
b) (18+25+28+15+6+18+2+4+25+15+31)/11
= 17 runs
Point form: (-2,-3)
Equation form: x=-2, y=-3
Answer:
Each one of the sides is equal to 7d-5
Step-by-step explanation:
A regular pentagon has 5 sides of equal length.
The perimeter of a regular pentagon is given by
P = 5s where s is the side length
35d -25 = 5s
Divide each side by 5
(35d-25)/5 = 5s/5
7d-5 =s
Each one of the sides is equal to 7d-5
Answer:
The most correct option for the recursive expression of the geometric sequence is;
4. t₁ = 7 and tₙ = 2·tₙ₋₁, for n > 2
Step-by-step explanation:
The general form for the nth term of a geometric sequence, aₙ is given as follows;
aₙ = a₁·r⁽ⁿ⁻¹⁾
Where;
a₁ = The first term
r = The common ratio
n = The number of terms
The given geometric sequence is 7, 14, 28, 56, 112
The common ratio, r = 14/7 = 25/14 = 56/58 = 112/56 = 2
r = 2
Let, 't₁', represent the first term of the geometric sequence
Therefore, the nth term of the geometric sequence is presented as follows;
tₙ = t₁·r⁽ⁿ⁻¹⁾ = t₁·2⁽ⁿ⁻¹⁾
tₙ = t₁·2⁽ⁿ⁻¹⁾ = 2·t₁2⁽ⁿ⁻²⁾ = 2·tₙ₋₁
∴ tₙ = 2·tₙ₋₁, for n ≥ 2
Therefore, we have;
t₁ = 7 and tₙ = 2·tₙ₋₁, for n ≥ 2.
