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ivanzaharov [21]
2 years ago
8

What is the reciprocal of 3?

Mathematics
1 answer:
chubhunter [2.5K]2 years ago
5 0
The reciprocal of 3 is 1/3.
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A password is formed by selecting three letters from the alphabet, followed by one number from 0 to 9. If
max2010maxim [7]
C is the correct answer !!
3 0
3 years ago
Kathy lives directly east of the park. The football field is directly south of the park. The library sits on the line formed bet
enyata [817]
Look at the picture in the attachment.

Using the Pythagorean theorem, set up a system of three equations:
x^2+y^2=(12+9)^2 \\
12^2+z^2=x^2 \\
9^2+z^2=y^2 \\ \\
x^2+y^2=441 \\
144+z^2=x^2 \\
81+z^2=y^2

\hbox{substitute } 144+z^2 \hbox{ for } x^2 \hbox{ and } 81+z^2 \hbox{ for } y^2 \hbox{ in the first equation:} \\
144+z^2+81+z^2=441 \\
225+2z^2=441 \\
2z^2=441-225 \\
2z^2=216 \\
z^2=\frac{216}{2} \\
z^2=108 \\
z=\sqrt{108} \\
z=\sqrt{36 \times 3} \\
z=6\sqrt{3} \\ z \approx 10.39

81+z^2=y^2 \\
81+108=y^2 \\
189=y^2 \\
\sqrt{189}=y \\
\sqrt{9 \times 21}=y \\
y=3\sqrt{21} \\ y \approx 13.75

a. The library is approximately 10.39 miles (exactly: 6√3 miles) from the park.
b. The park is approximately 13.75 miles (exactly: 3√21 miles) from the football field.

6 0
3 years ago
Read 2 more answers
A coach is buying snacks for 22 players on a soccer match chip is a total of $77 to buy each player a bottle of water and energy
KIM [24]

The question is incomplete:

A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to buy each player a bottle of water and an energy bar. The price of one energy bar is $2. Let w equal the price of a bottle of water. Write an equation that represents the situation.

Answer:

x=44+22w, where

x is the total amount paid

w is the price of a bottle of water

Step-by-step explanation:

With the information provided, you can say that the total amount paid is equal to the result of multiplying the price per energy bar for the number of energy bars purchased plus the result of multiplying the price per bottle of water for the number of bottles of water:

price per energy bar= $2

number of enrgy bars= 22

price per bottle of water= w

number of bottles of water= 22

x=(2*22)+(w*22)

x=44+22w, where

x is the total amount paid

w is the price of a bottle of water

7 0
3 years ago
If ?2000 is placed into a bank account that pays 3% compound interest per year , how much will be in the account after 2 years ?
Elodia [21]

Answer:

Step-by-step explanation:

A=P(1+r/n)^t*n

A=2000(1+.03)^2

A=2000(1.03)^2

A=2000(1.0609)

A=2121.80

Since it’s per year I didn’t divide 1 by .03 or multiply it by 2 since it would end in the same equation. If you were to do semiannually or any other payment period, the process would have been nessassary.

Hope this helps!

3 0
2 years ago
Micheal is three time as old as Jean in seven year he will be twice old as she will be then how old are they both
PtichkaEL [24]

Answer:

Michael is 21 years old while Jean is 7 years old.

Step-by-step explanation:

Given that Micheal is three times as old as Jean, but in seven years he will be twice old as she will be, to determine how old are they both at this time, the following calculation must be performed:

M = 3J

M + 7 = 2J + 7

7 = 1/3

7 x 3 = 21

21 + 7 = 28

7 + 7 = 14

21 / 7 = 3

28 / 14 = 2

 

Therefore, Michael is 21 years old while Jean is 7 years old.

5 0
3 years ago
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