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.
Answer:

Step-by-step explanation:
We want to arrange the following numbers on the number line in order from least to greatest.
The numbers are:

Let us convert everything into decimals to get:

Rearranging from least to greatest, we have:

Since you haven't identified this figure, I'm going to assume that it's a rectangle.
The Perimeter of a rectangle of length L and width W is P = 2L + 2W.
Here you are given the Perimeter and the length, and are to find the width, W.
Solving the above equation for W, we get P - 2L = 2W.
Dividing by 2 (to isolate that W), we get
P
-- - L = W
2
Substitute P= 6 yds and L = 6 feet (or 2 yds), find W (in yards).
Answer:
D
Step-by-step explanation:
But basically, one by one you try moving the terms out of the radical.
75 is also 25 * 3 and since 25 has a perfect square root of 5 that goes out and 3 stays inside the radical.
x^3 is also x^2 * x and since x^2 has a perfect square root which is just x that goes outside while the remaining x stays inside.
y^9 is also y^8 * y and since we move variables out the radical in twos y^ goes outside the radical and y stays inside alone.
Finally, z is just z it can't be taken out so it stays inside the radical.
Hope that helps!
Answer:
105°
Step-by-step explanation:
Sum of all sides of a triangle = 180°
x = 180° - (45° + 30°)
= 180° - 75°
= 105°
Therefore x is 105°. Hope you understood :)