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mars1129 [50]
2 years ago
14

Can someone pls help me

Mathematics
1 answer:
Yuri [45]2 years ago
6 0

Answer:

I'm not sure, but I'll try

Step-by-step explanation:

(Side)^2 = (Hypotenuse)^2 - (Side)^2

(Side)^2 = (9)^2 - ( √ 65 )^2

(Side)^2 = (81) - (65)

(Side)^2 = 16

Take root of answer

Side = √16

Side = 4

Answer = 4

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In how many ways can you place 50 identical balls in six distinct urns such that each urn contains an odd number of balls
mezya [45]

Answer:

80730

Step-by-step explanation:

The answer is c(27,5)=27*26*25*24*23/5!. Here is why.

Let us solve a simpler problem. In how many ways 25 identical balls can be placed in six distinct urns such that no urn is empty?

25 balls in a row make 24 places for five dividers, so the answer is c(24,5).

2. Next problem. In how many ways 50 identical balls can be placed in six distinct urns such that no urn is empty and each urn contains even number of balls.

We group 50 balls in 25 pairs, so the answer is the same as in the previous problem which is

c(48/2,5)=c(24,5).

Let us denote the content of each urn as

u(1),u(2),…u(6). Note that each u(i) is even. Denote u(i) as u(i)=2k(i) where k is a natural number. We have

2k(1)+2k(2)+2k(3)+2k(4)+2k(5)+2k(6)=50.

3. Now let us proceed to the original problem where odd number of balls in each urn is required.

We have

2k(1)-1+2k(2)-1+2k(3)-1+2k(4)-1+2k(5)-1+2k(6)-1=50 or

2k(1)+2k(2)+2k(3)+2k(4)+2k(5)+2k(6)=56.

So the original problem reduces to previous problem where even number of balls in each urn is required but the total number of balls is 56 instead of 50.

Its answer is c(54/2,5)=c(27,5).

8 0
2 years ago
Fill in the blanks to complete the special rule for inequalities.
crimeas [40]

Answer: If you multiply or divide both sides of an inequality by the same negative number, you must swap the inequality symbol for the statement to still be correct.

Additionally: The absolute value of -200 is 200.

3 0
3 years ago
A store is advertising a 25% off sale. Mikale purchases a swimming pool for $225. What was the original price of the pool?
DIA [1.3K]

Answer:

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Step-by-step explanation:

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3 years ago
Evaluate 8 + w / 4 when w =16
ivolga24 [154]

Answer:

12

Step-by-step explanation:

16/4=4

4+8=12

4 0
2 years ago
Read 2 more answers
1. TRIANGLES The ratios of the measures of the
maw [93]

sum of all sides of triangle=180°

7x+13x+16x=180°

36x=180°

x=180°/36

x=5

angle D=7x

=7(5)

D=35°

angle E=13(x)

=13(5)

E=65°

angle F=16x

=16(5)

F=80°

angle D=35°

angle E=65°

angle F=80°

7 0
2 years ago
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