Answer:
5,18,12 cms are the answer.
Step-by-step explanation:
Given is a triangle ABC. Point D is the centroid.
E,F and G are midpoints of CB, BA and AC respectively.
AE, BF and CG are medians of the triangle.
We know that centroid divides the median in the ratio 2:1
Using this we find that AD:DE = 2:1
Or AD+DE:DE = (2+1):1
AE:DE =3:1
15:DE = 3:1 . Hence DE =5 cm.
On the similar grounds we find that DF = 1/3 BF = 9
Hence BD = DF-BF = 27-9 =18 cm
and also
CG = 3/2 times CD = 12 cm.
Memorize the definition of standard deviation: the sd is the square root of the average of the squared deviations of the mean. Wow. Let's do it.
Step 1. First we need the mean. That's easy. Add them up and divide by the count. Check if you get 16.88/5 = 2.81333.
Step 2. Now we're going to subtract this from each of the values, and square the result. Don't worry about negative signs, the squaring will get rid of those. Example for the first number:
(1 - 2.813)^2 = 3.29
The list of numbers I get is (rounded, in reality round as little as possible):
3.29, 2.60, 1.41, 2.35, 1.66, 6.18
Step 3: Add them all up. I get 17.49.
Step 4: Divide by the count of numbers. 17.49/6 = 2.91
Step 5: Take the square root from this result. SQRT(2.91) = 1.707305
TIP: Use excel to do all these steps, then run the set of numbers through Excel's built-in sd function (called STDEV.P) and see that you get the same result!
Answer:
-(4,-3)
Step-by-step explanation:
You need to find the slope from point o to b, and then multiply it three times to get to b prime.
7x+4<46
7x+4(-4)<46(-4) <- Subtraction Property of Equality
7x<42
7x(/7)<42(/7) <- Division Property of Equality
x<6
I hope this helps!
~kaikers
