1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
abruzzese [7]
3 years ago
6

If each degree of latitude is equal to about seventy miles, then how much farther north is Chicago Denver, Colorado? Also, How m

uch farther is Mexico City from Denver, Colorado?
Mathematics
1 answer:
Alex3 years ago
8 0

Answer:

Chicago - Denver: d_{1} = 199.08\,mi, Mexico City - Denver: d_{2} = 1416.87\,mi

Step-by-step explanation:

The latitudes of Chicago, Mexico City and Denver are 42° 35' N (+ 42.583), 19° 29' 52'' N (+ 19.498) and 39° 44' 21' N' (+ 39.739), respectively.

The distances are:

Chicago - Denver

d_{1} = \left(\frac{42.583 - 39.739}{1}\right)\cdot (70\,mi)

d_{1} = 199.08\,mi

Mexico City - Denver

d_{2} = \left(\frac{39.739-19.498}{1}\right)\cdot (70\,mi)

d_{2} = 1416.87\,mi

You might be interested in
Which polynomial is equivalent to 4n + 5^2
tankabanditka [31]

Answer:

16n^2+40n+25

Step-by-step explanation:

4 0
3 years ago
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
makkiz [27]

Answer:

Step-by-step explanation:

x + 2y + 3z = 12

z=\frac{12-x-2y}{3}

Volume = V=f(x,y) = xy(\frac{12-x-2y}{3} )

find partial derivatives using product rule

f_x =\frac{y}{3} (12-2x-2y)\\f_y = \frac{x}{3} (12-x-4y)

i.e.

Using maximum for partial derivatives, we equate first partial derivative to 0.

y=0 or x+y =6

x=0 or x+4y =12

Simplify to get y =2, x = 4

thus critical points are (4,2) (6,0) (0,3)

Of these D the II derivative test gives

D<0 only for (4,2)

Hence maximum volume is when x=4, y=2, z= 4/3

Max volume is = 4(2)(4/3) = 32/3

6 0
3 years ago
The principal observes 8th grade the following day. Of the 120 students, 42 brought their lunch from home, 72 purchased lunches,
Rama09 [41]

Answer:

i pretty sure i do not know that answer to be honest

Step-by-step explanation:

i believe this because i dont know anything about this im still lost

8 0
2 years ago
I need helpppppppppppp
kakasveta [241]

Answer:

1/4 I'm pretty sure

Step-by-step explanation:

because half of the class already went to the afternoon session and 3/4 went to see the movie

4 0
3 years ago
Read 2 more answers
What is the common difference of the sequence 20, 17, 14, 11, 8.... ?
Vinvika [58]

Answer:

-3

Step-by-step explanation:

every sequence goes down by -3

8 0
4 years ago
Read 2 more answers
Other questions:
  • Geometry quiz!! help?
    8·2 answers
  • A random sample of 100 cars was taken and data were recorded on the miles per gallon (mpg) in the city and on the highway. The m
    10·1 answer
  • 401,378 in word form
    12·2 answers
  • Write an exponential function for the set of points
    10·1 answer
  • What is 5.2 plus 176.2
    14·2 answers
  • Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf me
    11·1 answer
  • Plz help me brainliest to whoever answers first.
    7·2 answers
  • What are the roots of this function? f(x) = x2 – 8x + 12
    13·1 answer
  • F(x)=x^4+5x^3+10x^2+20x+24
    15·1 answer
  • Im confused on this:<br><br> Evaluate: 4+8÷2x (6-3)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!