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
vladimir2022 [97]
3 years ago
7

5. When looking at a map, a student realizes that Birmingham is nearly due west of Atlanta, and Nashville is nearly due north of

Birmingham. If the distance from Atlanta to Birmingham is roughly 150 mi, and the distance from Birmingham to Nashville is roughly 200 mi, what is the estimated distance from Atlanta to Nashville?
Mathematics
1 answer:
leonid [27]3 years ago
6 0

Answer: 250 mi

Step-by-step explanation:

Here we can think in a triangle rectangle:

The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.

And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.

Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.

Now we can apply the Pythagorean's theorem:

A^2 + B^2 = H^2

Where A and B are the cathetus, and H is the hypotenuse:

Then:

H = √(A^2 + B^2)

H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi

Then the estimated distance from Atlanta to Nashville is 250 mi

You might be interested in
What the property says that 5+13=13+5
Pavlova-9 [17]

Answer: its true

Step-by-step explanation:

i got it right

4 0
2 years ago
Read 2 more answers
A skyscraper with 103 floors is 1133 feet tall each floor is the same height how tall is each floor
alukav5142 [94]
1133/103=11 ft per floor.
5 0
2 years ago
Read 2 more answers
Francine is selling ice cream from her shack on the ocean. She opens the shack
madam [21]

Answer: The answer for that would be 325

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which of the following transformations does not preserve distance and angle measures?
Sveta_85 [38]
D) horizontal stretch

hope it helps
6 0
3 years ago
Read 2 more answers
When and how do you use logarithms to solve exponential equations? give an example of an exponential equation that does not requ
tatuchka [14]
\bf 5^{x+3}=\cfrac{1}{125}\implies 5^{x+3}=\cfrac{1}{5^3}\implies 5^{x+3}=5^{-3}
\\\\\\
\textit{because the bases are the same, the exponents must also be the same}
\\\\\\
x+3=-3\implies \boxed{x=-6}\\\\
-------------------------------\\\\
3^x=4^{2x}\implies log(3^x)=log(4^{2x})\implies xlog(3)=(2x)log(4)
\\\\\\
\cfrac{x}{2x}=\cfrac{log(4)}{log(3)}\implies \cfrac{1}{x}=\cfrac{log(4)}{log(3)}\implies \cfrac{log(3)}{log(4)}=x\implies \boxed{0.79248125\approx x}
6 0
3 years ago
Other questions:
  • If a rectangle is 2 meters more than its width, and the area of it is 80 square meters, what is the length and width?
    13·1 answer
  • A.The observation deck of tall skyscraper 370 m above the street. Determine the time required for a penny to free fall from the
    9·1 answer
  • What is the value of x in x+3=3x+4?
    10·1 answer
  • Which set of ordered pairs does NOT represent a function?
    14·1 answer
  • There are 240 students going on a field trip. Each school bus can hold 48 students. Complete the equation to show which operatio
    5·1 answer
  • Find the slope and the y-intercept of the equation y − 3(x − 1) = 0.
    9·1 answer
  • I need to find the x pls help and show work
    6·2 answers
  • HELP ME PLEASE!!! I’ll mark brainly
    7·2 answers
  • Y is directly proportional to x squared. if y=12 when x=2 find x when y=48
    13·1 answer
  • A bicycle has a listed price of $556.98 before tax. If the sales tax rate is 8.75% find the total cost of the bicycle with sales
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!