Set up a ratio:
1/50 = x/480
Cross multiply:
50x = 480
Divide both sides by 50:
X = 9.6
The distance on the map is 9.6 cm
Answer:

Step-by-step explanation:
The <u>width</u> of a square is its <u>side length</u>.
The <u>width</u> of a circle is its <u>diameter</u>.
Therefore, the largest possible circle that can be cut out from a square is a circle whose <u>diameter</u> is <u>equal in length</u> to the <u>side length</u> of the square.
<u>Formulas</u>



If the diameter is equal to the side length of the square, then:

Therefore:

So the ratio of the area of the circle to the original square is:

Given:
- side length (s) = 6 in
- radius (r) = 6 ÷ 2 = 3 in


Ratio of circle to square:

Answer: actual length = 45 ft
Explanation:
Scale drawn:
1/2 inch = 5ft
Meaning that if the drawing scale is 0.5 inch then the actual bus would be 5ft.
If the length of the drawn school bus is 4 1/2 inches. We can write:
1/2 = 5
4 1/2 = x
=> x = (5 x 4 1/2)/1/2
Or x = (5 x 4.5)/0.5
x = 22.5/0.5
x = 45
Therefore the actual length of the bus is 45 ft
Multiply the numerator and denominator by 7×2 = 14 to eliminate the denominators of those fractions:

Rationalize the denominator by multiplying both numerator and denominator by √10:

Lastly, cancel the common factor of 2 in both the numerator and denominator (which comes from 6 = 2×3 and 490 = 2×245):

Answer:
Option C.
Step-by-step explanation:
We start with the expression:

where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers)
We want to find the equivalent expression to this one.
Here, we can do the next two simplifications:

And:

If we apply these two to our initial expression, we can rewrite it as:


Here we can use the second simplification again, to rewrite:

So, concluding, we have:

Then the correct option is C.