Answer:
26 inches
Step-by-step explanation:
We are given;
- An inscribed circle whose area is 407 square inches
- In this case, we need to know that an inscribed in a square touches the four sides of the triangle.
- Therefore, the diameter of the circle is equivalent to the side of the square.
We are given the area as 507 square inches
But;
Area of the circle = pi × r²
Thus we can get the radius of the circle;
Thus;
507 in² = 3 × r²
r² = (507 ÷ 3)
= 169
r =√169
= 13 inches
But, Diameter = 2 r
Thus; Diameter = 2 × 13
= 26 inches
But, in this case, diameter = side of the square
Therefore, the side of the square is 26 inches
Answer:
1st one.
Step-by-step explanation:
Answer: There are 
ways of doing this
Hi!
To solve this problem we can think in term of binary numbers. Let's start with an example:
n=5, A = {1, 2 ,3}, B = {4,5}
We can think of A as 11100, number 1 meaning "this element is in A" and number 0 meaning "this element is not in A"
And we can think of B as 00011.
Thinking like this, the empty set is 00000, and [n] =11111 (this is the case A=empty set, B=[n])
This representation is a 5 digit binary number. There are 
of these numbers. Each one of this is a possible selection of A and B. But there are repetitions: 11100 is the same selection as 00011. So we have to divide by two. The total number of ways of selecting A and B is the 
.
This can be easily generalized to n bits.
Answer:
C, 150 in
Step-by-step explanation:
12 in x 25 = 300
300/2
=150 in
