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
Answer:
40
Step-by-step explanation:
Answer: x=7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(6x+5)=94
(2)(6x)+(2)(5)=94(Distribute)
12x+10=94
Step 2: Subtract 10 from both sides.
12x+10−10=94−10
12x=84
Step 3: Divide both sides by 12.
12x
12
=
84
12
x=7
Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.
A piece-wise function is a function that has <u>multiple definitions</u>, depending on the value of the input.
He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:
For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:
For the final 20 minutes, he descends 800 meters, at a linear rate, thus:
Using these definitions, the graph is sketched at the end of this answer.
A similar problem is given at brainly.com/question/13205719
