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n200080 [17]
3 years ago
5

Jefferson Park sits on one square city block that measures 300ft on each side. Sidewalks join opposite corners. About how long i

s each diagonal sidewalk?

Mathematics
1 answer:
Alexxandr [17]3 years ago
5 0
You have a 300 feet side length square and you need to calculate the length of the diagonal. When you split the square along one diagonal you get triangles, so you can apply Pythagoras' Theorem, with the hypotenuse as the needed diagonal.
a²+b²=c²
300²+300²=c²
2*300²=c²
√(2*300²)=c
√(2) * √(300²)=c
√(2) * 300=c
c~424.26 ft which is the solution/option c
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N¹x n² =343
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3 years ago
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Two solutions of salt water contain 0.06% and 0.26% salt respectively. A lab technician wants to make 1 liter of solution which
Valentin [98]

Answer:

The volume for the 0.26% is 250 ml and the volume for the 0.06% is 750 ml.

Step-by-step explanation:

In the solution the techinician wants to create there's a total of:

salt = 1*0.11/100 = 0.0011

So the sum of the salt from the other two solutions must be equal to that, since the quantity of salt in each is given by:

salt1 = volume1*0.06/100 = volume1*0.0006

salt2 = volume2*0.26/100 = volume2*0.0026

The sum of the from the two solutions must be equal to the final one:

salt = salt1 + salt2

0.0011 = 0.0006*volume1 + 0.0026*volume2

while the volume of the solutions must be equal to 1 liter:

volume1 + volume2 = 1

If we isolate volume1 on the second equation and replace that on the first one we have:

volume1 = 1 - volume2

0.0006*(1 - volume2) + 0.0026*volume2 = 0.0011

0.0006 - 0.0006*volume2 + 0.0026*volume2 = 0.0011

0.002*volume2 = 0.0011-0.0006

0.002*volume2 = 0.0005

volume2 = 0.0005/0.002 = 0.25 liters = 250 ml

volume1 = 1 - 0.25 = 0.75 liters = 750 ml

The volume for the 0.26% is 250 ml and the volume for the 0.06% is 750 ml.

3 0
3 years ago
a person pays a loan of Rs. 3900 in monthly installments each in installment being less than the former by Rs. 20 ,the amount of
musickatia [10]

Answer:

15 installments

Step-by-step explanation:

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4 0
2 years ago
I’m a little confused with this? Can someone walk me through this?
mina [271]

Answer:

A. 5.8

Step-by-step explanation:

From the given graph d has two coordinates;

the first coordinates of d = (0, 0)

the second coordinate of d = (-3 , -5), that is x = -3 when traced up and y = -5 when traced horizontal

The distance between the two coordinates = distance of d;

distance \ between \ two \ coordinates = \sqrt{(x_2-x_1)^2 \ + \ (y_2-y_1)^2} \\\\d =  \sqrt{(-3-0)^2 \ + \ (-5-0)^2}\\\\d = \sqrt{9 \ + \ 25} \\\\d = \sqrt{34} \\\\d = 5.83\\\\d = 5.8

Option A is correct

6 0
3 years ago
While looking at some reports, a store manager notes that televisions that retail for $475 and up costing customers $513 once th
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The sales tax percentage of the store manager report is 7.41%

<h3>How to solve for the sales tax percentage</h3>

Customers are subject to a charge known as sales tax when they buy goods and services.

It is a pass-through tax, which means you must collect it from clients and send the money to your state or local government. the seller do not contribute sales tax.

The sales tax is first calculated by

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= 513 - 475

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sales tax percentage is calculated using the formula

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= (38 / 513) * 100

= 7.4074

= 7.41%

Learn more about sales tax at:

brainly.com/question/20220356

#SPJ1

3 0
1 year ago
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