Since each square will have an area of 4 cm^2 because they are congruent, then let’s find the side length of them.
Square root of 4 is two
Each side is 2 cm. Since the unshaded triangle has 3 on the base and height, then it is same to assume that the triangle has a base of 6 cm (2 * 3) and a height of 6 cm.
The formula of the area of a triangle is:
1/2 ( base times height)
Let’s plug in some values
1/2(6 * 6)
Multiply
1/2 (36)
Divide
18
Since the triangles are also congruent, then the shaded side has the same area.
The shaded triangle has an area of 8 cm ^2
Answer:
V = (1024π√3)/3
Step-by-step explanation:
We can apply the formula
V = ∫∫∫ρ²SinФ dρ dФ d∅
1) ∫ρ²dρ = (1/3)ρ³ if 0 ≤ ρ ≤ 8
⇒ ∫ρ²dρ = (1/3)((8)³-(0)³) = 512/3
2) ∫ SinФ dФ = - Cos Ф if π/6 ≤ Ф ≤ 5π/6
⇒ ∫ SinФ dФ = - (Cos (5π/6) - Cos (π/6)) = √3
3) ∫ d∅ = ∅ if 0 ≤ ∅ ≤ 2π
⇒ ∫ d∅ = (2π - 0) = 2π
Finally, we get
V = ∫∫∫ρ²SinФ dρ dФ d∅ = (512/3)(√3)(2π) = (1024π√3)/3
Answer:
52.33 inches
Step-by-step explanation:
Multiply the length of one side by the square root of 2.
In this case: 37, you would divide that by the square root of 2.
Hope this helps!
Answer:
Step-by-step explanation:
given that we are interested in finding out the proportion of adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt.
Sample size = 765
Favour = 322
a) The population is the adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt
b) The parameter being estimated is the population proportion P of adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt.
c) point estimate for proportion = sample proporiton =
d) We can use test statistic here as for proportions we have population std deviation known.
d) Std error = 0.01785(
Test statistic Z = p difference / std error
f) when estimated p is 0.50 we get Z = -4.43
g) Is true population value was 40% then
Z = 1.17 (because proportion difference changes here)
If you are solving for x then your answer is 11.33