M + 3= 9m -13
m -9m = -13-3
-8m =-16
8m=16
m = 16/8 = 2
Answer:
Step-by-step explanation:
(Pythagorean theorem)
(30-60-90 triangle)
(angle subtraction)
(base angles theorem)
(30-60-90 triangle)
(angle subtraction)
Answer:
0.200
Step-by-step explanation:
∑ₓ₌₁⁴⁰ (1 + i)⁻ˣ = 5
∑ₓ₌₁⁴⁰ ((1 + i)⁻¹)ˣ = 5
This is a geometric series. The sum of the first n terms of a geometric series is:
S = a₁ (1 − rⁿ) / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = (1 + i)⁻¹, r = (1 + i)⁻¹, and n = 40. For simplicity, let's write both a₁ and r in terms of r. So a₁ = r and r = r.
5 = r (1 − r⁴⁰) / (1 − r)
5 (1 − r) = r (1 − r⁴⁰)
5 − 5r = r − r⁴¹
r⁴¹ − 6r + 5 = 0
Solving with a calculator, r ≈ 0.8334.
Therefore:
(1 + i)⁻¹ = 0.8334
1 + i = 1.200
i = 0.200
Answer:
Step-by-step explanation:
Given
Required
Determine the volume of air
Density is calculated using:
Substitute values for Density and Mass
Convert lb to grams
Solve for Volume
Convert mL to L
Represent using scientific notation
Approximate
The first is the correct
Δ ZYB ≈ Δ OWR by SSS
because:
ZB = OR = 5
ZY = OW = 3
YB = WR = 5.5