The base of the triangle is 12 because area of a triangle is 1/2 base times height
First, we need to remember that the distance between two points (x1, y1) and (x2, y2) can be calculated with √[ (x1 - x2)^2 + (y1 - y2)^2 ].
Thus, we apply this formula to measure the lengths of AB, BC, and AC in ∆ABC.
AB = √[ (1 - -2)^2 + (7 - 2)^2 ] = √25 = 5 units
BC = √[ (-2 - 4)^2 + (2 - 2)^2 ] = √36 = 6 units
CA = √[ (4 - 1)^2 + (2 - 7)^2 ] = √25 = 5 units
From this, we can clearly see that BC is the longest side of ∆ABC with a length of √36 = 6 units. Thus, the answer is B: 6.
Since ∆ABC sides 5, 5, and 6. That makes it an isosceles triangle. Which makes the right answer to be B: isosceles.
Now, if we form a new triangle, ∆ABD, with D at (1, 2), we have the following lengths:
AB = 5 units
BD = √[ (-2 - 1)^2 + (2 - 2)^2 ] = √9 = 3 units
AD = √[ (1 - 1)^2 + (7 - 2)^2 ] = √25 = 5 units
Similarly, since ∆ABD has sides with lengths of 5, 3, and 5. This means it is isosceles. The answer for this item is B: isosceles.
We have shown above that AD is 5 units. Thus, answer is B: 5<span>.</span>
Answer:
Coefficient of skewness = 0.5785
Population standard deviation = 88.154
Step-by-step explanation:
Given the data:
Month Jan Feb Mar Apr May Jun Jul
Unit Sales 314 285 158 482 284 310 281
Reordered data : 158, 281, 284, 285, 310, 314, 482
The population mean of the data :
Mean, μ = Σx / n = 2114 / 7 = 302
The median :
1/2(n+1)th term
n = 7
1/2(8)th term
Median = 4th term = 285
The population standard deviation, s :
s = √(Σ(x - μ)²/n)
s = √[(158-302)^2 + (281-302)^2 + (284-302)^2 + (285-302)^2 + (310-302)^2 + (314-302)^2 + (482-302)^2] / 7
s= √(54398 / 7)
s = √7771.1428
s = 88.154
The Pearson Coefficient of skewness :
[3(μ - median)] / s
3(302 - 285) / 88.154
3(17) / 88.154
51 / 88.154
= 0.5785
Answer:
Step-by-step explanation:
A) either radius or diameter and height
V = πR²h or πD²h/4
B) Radius is half a diameter, R = 4 cm
C) Rather depends on how they are put together.
Placing the rectangular faces touching would make a cylinder
D) V = 3.14(4²)(2) = 100.48 ≈ 100 cm³
E) divide by 2
i.e. V = ½πR²h
F V = ½(3.14)(4²)(2) = 50.24 ≈ 50 cm³
The answer is C or 12 because it has to equal to 180 so 5(12) + 5 = 65 and 65 + 115 = 180
