Answer:
-170
Step-by-step explanation:
- 2(9)^2-4(-1)(-2)
-2(81)-4(2)
-162-8
-170
Answer:
The population is all the adult men who are 40 to 60 years of age and live in the United Stades.
Step-by-step explanation:
The population is all the adult men who are 40 to 60 years of age and live in the United Stades.
The 1338 are the sample, and the study wants to find the proportion of all these adults who had seen their family doctor. Since 1338 is a large sample size, this proportion can be extended to all the adult men who are 40 to 60 years of age and live in the United Stades.
First you check for Pythagoras' Theorem.
Is 8.6² = 8.1² + 2.6² ?
8.1² + 2.6² = 65.61 + 6.76 = 72.37
8.6² = 73.96
8.1² + 2.6² ≠ 8.6²
Since Pythagoras' Theorem is not satisfied it is not a right angled triangle.
The longest side is 8.6, let's find the angle facing the longest side 8.6.
By cosine formula CosA = (b² + c² - a²) / (2bc)
CosA = (2.6² + 8.1² - 8.6²) / (2*2.6*8.1) = -1.59/42.12 = -0.0377
A = Cos inverse (-0.0377) = 92.1 degrees
So there is an angle is greater than 90 degrees.
The shaded portion area A corresponds to the area Ao of the outer circle minus the area Ai of the inner circle:
A = Ao - Ai
Also, the area of each circle of radius r is given by:
π r²
where the radius r is half the diameter d.
So, using r = d/2 in the above formula, we obtain:
π r² = π (d/2)² = (π/4) d²
Now, replacing each area with the corresponding diameter, we find:
A = Ao - Ai
= (π/4) 4² - (π/4) 1.5²
= (π/4) (4² - 1.5²)
= (π/4) (16 - 2.25)
= (π/4) (13.75)
≅ 10.799
Rounding the result to one decimal place, we find the answer:
10.8 m²
Answer:
64
Step-by-step explanation:
4³ = 4 · 4 · 4
4 · 4 · 4
16 · 4
64
