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tigry1 [53]
3 years ago
9

23. Assuming it is possible to walk between locations in a straight line, how much longer is it to walk from the museum to the z

oo than to walk from the museum to the park?​

Mathematics
1 answer:
kkurt [141]3 years ago
4 0

The distance from Museum to Zoo is 0.74 units longer than the distance from Museum to park.

Assuming straight distance between the points :

The distance formula between two points is :

d = \sqrt {\left( {x_2 - x_1 } \right)^2 + \left( {y_2 - y_1 } \right)^2 }

Museum coordinate (-2, - 3)

Zoo coordinate (3, 3)

Park coordinate (-3, 4)

Distance from Museum to Zoo:

d = \sqrt {\left( {3 - ( - 2)} \right)^2 + \left( {3 - ( - 3) } \right)^2 }

d \:  =  \sqrt{25 + 36}  =  \sqrt{61}  = 7.81

Distance from Museum to park :

d = \sqrt {\left( { - 3 - ( - 2)} \right)^2 + \left( {4 - ( - 3) } \right)^2 }

d \:  =  \sqrt{ 1 + 49}  =  \sqrt{50}  = 7.07

7.81 - 7.07 = 0.74

This means that :

Distance from Museum to Zoo is 0.74 units more than the distance from Museum to park.

Learn more : brainly.com/question/8283882

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Find the dimensions of a rectangle divided into two equal rectangles of maximum area that has total perimeter (including the mid
lilavasa [31]

The dimensions for this rectangle are b= 30 ft and h=20 ft.

<h3>Perimeter</h3>

The perimeter of a geometric figure is the sum of its sides.

The question  gives:

  • the geometric figure - rectangle
  • the total perimeter - 120 ft

Therefore for the perimeter, you have

P= \frac{b}{2} +\frac{b}{2}+ h+ h +h

P=2b+3h

2b+3h=120 (1)

From equation 1, you can write:

2b=120-3h

b=\frac{120-3h}{2}

b= 60 - \frac{3h}{2} (2)

The area for the rectangle is given by A= bh. Therefore, by replacing (2) in the formula for rectangle area, you have:

A= (60-\frac{3h}{2} )* h\\ \\ A= 60h-\frac{3h^2}{2}

The maximum area will be calculated from the derivation of the previous equation of area.

\frac{dA}{dh}=60-2*\frac{3h}{2}\\ \\  \frac{dA}{dh}=60-3h

The maximum area can be found when the first derivative is equal to zero. Thus,

60-3h=0

-3h=-60 *(-1)

3h=60

h=20

Now, you know the height and from equation 2 (b= 60 - \frac{3h}{2} ) you can find the base.

b= 60 -\frac{3*20}{2}

b=60 - 3*10

b=60-30

b=30

Read more about the First Derivative Test here:

brainly.com/question/6097697

#SPJ1

8 0
2 years ago
Hannah deposited the same amount of money into her savings account each month after 5 months she had $2,550 into the savings acc
DiKsa [7]

Answer:

  • a = 250x + 1300

Step-by-step explanation:

We have pairs (5, 2550) and (8, 3300)

<u>Find the rate of change:</u>

  • (3300 - 2550)/(8 - 5) =
  • 750/3 =
  • 250

$250 is the amount added to savings account every month

<u>Initial amount was:</u>

  • 2550 - 5*250 =
  • 2550 - 1250 =
  • 1300

<u>Since the change is linear and we have y-intercept and slope, we can show the amount after x months as:</u>

  • a = 250x + 1300
5 0
3 years ago
In a linear equation relating income and consumption, you know that the intercept is $1,000 and the slope of the line is 4. if i
Amiraneli [1.4K]
A general equation of a linear function is expressed as y = mx + b where m represents the slope and b is the y-intercept. The slope is the rate of change of y with respect x which is equal to 4 for this problem. The y-intercept represents the value when x is equal to zero. It is the initial value of y. In this case, it is equal to $1,000. The linear equation would be:

y = 4x + 1000

assuming y is the income and x is the consumption.

At an income (y) equal to $20,000, we can calculate for the consumption.

20000 = 4x + 1000
19000 = 4x
x = 4750
3 0
3 years ago
Darlene has a rooftop carrier for her car. She puts 5 items in the carrier
yuradex [85]

Answer:

159.1

Step-by-step explanation:

The expression would be 10.4+13+8+112+15.7, which equals 159.1 which is the total weight.

4 0
3 years ago
MONEY Amanda has $31 in her purse. She pays $6 for lunch. Which expression represents this situation?
anastassius [24]
( B) 31 + ( -6) is the answer
8 0
3 years ago
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