Answer:
Length of the canal on the map is 16.4 centimeters.
Step-by-step explanation:
If actual length of Panama Canal = 20 kilometers
and length of the canal on map = 4 centimeters
Then scale factor = 
= 
= 
If the actual length of Panama Canal = 82 kilometers
Then the length of canal on the map = Actual length × Scale factor
= 
= 16.4 centimeters
Therefore, length of the canal on the map is 16.4 centimeters.
The maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,
<h3>How to determine the difference?</h3>
The function is given as:
f(x) = -0.5x^2 + 5x - 6
Differentiate the function
f'(x) = -x + 5
Set to 0
-x + 5 = 0
Make x the subject
x = 5
Substitute x = 5 in f(x)
f(5) = -0.5 * 5^2 + 5 * 5 - 6
f(5) = 6.5
The table is not given.
Hence, the maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,
Read more about quadratic functions at:
brainly.com/question/18797214
Answer:
The answer is D or A
Step-by-step explanation:
Hi there!
You get 3(x-8) all over 4.
Hope this helps !
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
The marked angles are <em>alternate interior angles</em>, so are congruent.
8x -4 = 60
8x = 64 . . . . . . . . . . add 4 to both sides
x = 64/8 = 8 . . . . . . divide both sides by 8
The value of x is 8.