Answer:
a) 216
b) 120
Step-by-step explanation:
a) 6×6×6 = 216
(6 options for each position)
b) 6C3 × 3! = 120
Answer:
A ≈ 3420 cm²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius ) , then
A = π × 33² = 1089π ≈ 3420 cm² ( to 3 significant figures )
Slope = rise/run
1. Slope is -1/3
2. Slope is 3
3. Slope is -3/2
4. Slope is 3/2
The tangent of angle is equal to opposite over adjacent. plug in the numbers and reduce if possible.
Step-by-step explanation:
∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹
This is a finite geometric series with n = 4, a₁ = -144, and r = ½.
S = a₁ (1 − rⁿ) / (1 − r)
S = -144 (1 − (½)⁴) / (1 − ½)
S = -270
If you wanted to find the infinite sum (n = ∞):
S = a₁ / (1 − r)
S = -144 / (1 − ½)
S = -288
