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LiRa [457]
3 years ago
12

If you start at vertex A and use the "shortest route" algorithm, what would be the second path to

Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0

Answer:

Shortest distance=|AC|/\sqrt[2]{2}.

Kindly find the attached for the figure

Step-by-step explanation:

This problem can be addressed using right-angled,

Let have right angle triangle with the shortest distance=hypotenuse;

hypotenuse=|AC|

using pythagoras theorem, we have

|AC|^2=|AB|^2+|BC|^2

Let |AB|=|BC|

|AC|^2=2|AB|^2

|AB|=|AC|/\sqrt[2]{2}

Shortest distance=|AC|/\sqrt[2]{2}

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Resonable estimate for 30 in decimal
igor_vitrenko [27]
30 as in 30.0 or .30? Is there more to the question?
3 0
3 years ago
Braxton has money in a savings account. The equation B = 800(1 + 0.03) can be used to calculate the amount
Sav [38]

Answer:

Braxton's initial investment is equals to (=) Pam's initial investment.

The interest on Braxton's account is less than (< ) the interest on Pam's account.

Step-by-step explanation:

Given - Braxton has money in a savings account. The equation

            B = 800(1 + 0.03)^{t} can be used to calculate the amount of money    

           in dollars, B, Braxton has in his account after t years since opening

           the account.

           Pam also has money in a savings account. The equation

           P=800(1 + 0.04)^{t}  can be used to calculate the  amount of money in

           dollars, P, Pam has in her account after t years since opening the

           account.

To find - Braxton's initial investment ..........Pam's initial investment.

             The interest on Braxton's account .....the interest on Pam's account.

Proof -

As given, Broxton equation is - 800(1 + 0.03)^{t}

               Pam equation is - 800(1 + 0.04)^{t}  

Now,

1.)

For initial investment , Put t = 0

⇒B = 800(1 + 0.03)^{0} = 800(1) = 800

  P =  800(1 + 0.04)^{0} = 800(1) = 800

As for t = 0

Braxton's equation , B = Pam's equation,P

⇒Braxton's Initial investment = Pam's initial investment.

2.)

For the interest,

As we don not have time for which the interest has to be check.

So , let the time period = 5 years

Therefore,

B = 800(1 + 0.03)^{5} = 800(1.03)^{5} = 800(1.1593) = 927.42

P =  800(1 + 0.04)^{5} = 800(1.04)^{5} = 800(1.2166) = 973.32

Now,

Interest on Braxton's account = 927.42 - 800 = 127.42 ≈ 127

Interest on Pam's account = 973.32 - 800 = 173.32 ≈ 173

∴ we get

The interest on Braxton's account is less than the interest on Pam's account.

7 0
3 years ago
The town recreation department ordered 100 balls and bats for the summer baseball camp. Balls cost $4.50 each, and bats cost $20
oksian1 [2.3K]

Answer:

76 balls and 24 bats

Step-by-step explanation:

Set up a system of equations where x is the number of balls and y is the number of bats:

x + y = 100

4.5x + 20y = 822

Solve by elimination by multiplying the top equation by -20, then combine the equations together:

-20x - 20y = -2000

4.5x + 20y = 822

-15.5x = -1178

x = 76

Then, plug in 76 as x in the first equation to solve for y:

x + y = 100

76 + y = 100

y = 24

So, 76 balls and 24 bats were purchased.

5 0
3 years ago
Read 2 more answers
Select all situations that can be modeled with a linear function. A taxi charges an initial fee of $2.00 and $1.50 for each addi
stiks02 [169]
The taxi, the airplane, and the pizza can be shown as linear functions
3 0
3 years ago
HELP!!!!! What is the length plz help me besties
Nesterboy [21]

Answer: 30 inches

Step-by-step explanation:

20/8 = x/12

20(12) = 8x

240 = 8x = 30

8 0
3 years ago
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