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gogolik [260]
3 years ago
9

The four cities on the map below form a square. About how many miles is the most direct route from Washington to Springfield?

Mathematics
2 answers:
natali 33 [55]3 years ago
8 0

Answer:

Step-by-step explanation:100 miles down the middle when you do pythagorean thearom.

aivan3 [116]3 years ago
5 0

Answer:

It is actually 70.7 miles

Step-by-step explanation:

Use pythagoran theorem formula for a diagonal angle

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A rectangle is drawn so the width is 5 inches longer than
CaHeK987 [17]

Answer:

length = l\\width = 5 + l\\Diagonal = 36\\diagonal^2 = (5+l)^2 + l^2\\36^2 = 25 + l^2 +10l + l^2\\1296 = 2l^2 +10l +25 \\2l^2 +10l=1271\\\\l_1=\frac{-10+2\sqrt{2567}}{2\cdot \:2},\:l_2=\frac{-10-2\sqrt{2567}}{2\cdot \:2}

l_1=\frac{-5+\sqrt{2567}}{2},\:l_2=\frac{-5-\sqrt{2567}}{2}

clearly,

      l_{2} \ is \ a \ negative\ number

So we consider

l_{1} =\frac{-5+\sqrt{2567}}{2} = 22.83

Therefore height = 22.8inches

6 0
2 years ago
Find the area and perimeter of a rectangle that has a length of (x + 24) and (x + 16). Show all work for full credit.
klio [65]

Answer:

Perimeter of rectangle = 4x + 80

Area = x² + 40x + 384

Step-by-step explanation:

Perimeter of rectangle = 2*(length + width)

                                      = 2* (x + 24 + x + 16)

                                      = 2*( x +x + 24 + 16)    {Combine like terms}

                                      = 2* (2x + 40)

Use Distributive property : a*(b +c) = a *b + a*c

                                     = 2*2x + 2*40

                                     = 4x + 80

Area of rectangle = length * width

                             = (x + 24) (x + 16) {use FOIL method}

                            = x*x + x*16 + 24*x + 24*16

                             = x² + 16x + 24x + 384  {Combine like terms}

                             = x² + 40x + 384

6 0
2 years ago
please help :) Geography doesn’t simply begin and end with maps showing the location of all the countries of the world. In fact,
rusak2 [61]

Answer:

d. physical features and locations tell historians about the ways people lived.

Step-by-step explanation:

I believe this is the correct answer

Download pptx
8 0
3 years ago
Read 2 more answers
What is the solution to 3.2x = 6.4?
jeyben [28]
A. X = 2 
what you do is divide each side by the coefficient of x (3.2) to get rid of it on the left, and simplify the right: 2.

6 0
3 years ago
Does anyone know how to do this?? thanks x
Gre4nikov [31]

There's a simple formula for the area of an ellipse:  pi*a*b, where a and b are , half the lengths of the long axis and the short axis respectively.

Here, A = pi*(12 ft)(4 ft) = 48 pi ft^2, or about 150.8 ft^2.

3 0
3 years ago
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