Answer:
C. √2 - 1
Step-by-step explanation:
If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)
Let r = the radius of the small circle
Using Pythagoras' Theorem 
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
to find the diagonal of the square:



So the diagonal of the square = 
We are told that the radius of the large circle is 1:
⇒ Diagonal of square + r = 1





Using the quadratic formula to calculate r:




As distance is positive,
only
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The answer is 10 :) ........
Answer:
5.83 = CD
Step-by-step explanation:
We can use the pythagorean theorem to solve
The legs are the x and y distances
x = (1- -4) = 5 units and y = 3 units
a^2+ b^2 = c^2
5^2 + 3^2 = c^2
25+9 = c^2
34 = c^2
Taking the square root of each side
sqrt(34) = c which is the distance from C to D
5.830951895 = CD
5.83 = CD
Answer:
A
Step-by-step explanation:
The opposite of a number is simply the number multiplied by -1 so the opposite of n is -n. "Between -3 and 0" tells us that the inequality is -3 < -n < 0.