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Leno4ka [110]
2 years ago
6

B is the midpoint of AC Find AB, BC and AC.

Mathematics
1 answer:
kramer2 years ago
8 0

Step-by-step explanation:

Since B is the midpoint of AC. So,

AB = BC

12x - 12 = 4x + 28

12x - 4x = 28 + 12

8x = 40

x = 40/8

x = 5

Now,

AB = BC = 4(5) + 28

= 20 + 28

= 48 cm

Now

AC = AB + BC

AC = 48 + 48

AC = 96 cm

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5,920 rounded to the nearest thousand
OleMash [197]

Answer:

6,000

Step-by-step explanation:

6 0
2 years ago
Suppose ten students in a class are to be grouped into teams. (a) If each team has two students, how many ways are there to form
ValentinkaMS [17]

Answer:

(a) There are 113,400 ways

(b) There are 138,600 ways

Step-by-step explanation:

The number of ways to from k groups of n1, n2, ... and nk elements from a group of n elements is calculated using the following equation:

\frac{n!}{n1!*n2!*...*nk!}

Where n is equal to:

n=n1+n2+...+nk

If each team has two students, we can form 5 groups with 2 students each one. Then, k is equal to 5, n is equal to 10 and n1, n2, n3, n4 and n5 are equal to 2. So the number of ways to form teams are:

\frac{10!}{2!*2!*2!*2!*2!}=113,400

For part b, we can form 5 groups with 2 students or 2 groups with 2 students and 2 groups with 3 students. We already know that for the first case there are 113,400 ways to form group, so we need to calculate the number of ways for the second case as:

Replacing k by 4, n by 10, n1 and n2 by 2 and n3 and n4 by 3, we get:

\frac{10!}{2!*2!*3!*3!}=25,200

So, If each team has either two or three students, The number of ways  form teams are:

113,400 + 25,200 = 138,600

6 0
3 years ago
What diagonals does a kite intersect at?
Romashka [77]
The diagonals of a kite meet at a right angle.
3 0
3 years ago
Which integer represents 8°C below 0?
iVinArrow [24]
-8


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7 0
3 years ago
Read 2 more answers
Find the compound interest paid at the end of 11 years and 33 months when a sum of ₹20000 is invested at a rate of 6% per annum
swat32

Answer:

The total would be 36,600.

Step-by-step explanation:

First you will convert 33 months into years which is 2 years and 10 months.

You will then add the 2 years and the 11 years together which gets you 13 so now you have a total of 13 years and 10 months. (this information will be used later)

Now we will start by multiplying the 20000 by 16% and we should get a total of 1200. That means the interest is 1200 per year so lets first take our 13 years and multiply it by the 1200 (13x1200). You should have 15600 as an answer (save this number for later) since we have 10 months were going to take that 1200 and divide it into 12 month meaning the monthly interest should be 100 per month since we have 10 months we will multiply 100 by 10 and get 1000. Now lets bring back that 15600 and add the additional 1000 to it, our answer should be 16,600, and then we add the original 20000 to the 16600 and your final answer should be 36600.

4 0
3 years ago
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