Answer:
The radius of the circle required is 5 inches
Step-by-step explanation:
we know that
The diagonal of the square is the diameter of the circle
The length side of the square is half the apothem
Let
a ----> the apothem
r ---> the radius of the circle (half the diagonal of the square)
Applying the Pythagorean Theorem

we have

substitute


Answer:

Step-by-step explanation:
In the triangle ABC, m∠ABC=90°. Hence, it is right angle triangle.
--------1
In the triangle ABD, m∠ABD=90°. Hence, it is right angle triangle.

As
, so
---------2
From equation 1 and 2,





Answer:
x=6, x= -5
Step-by-step explanation:
Factor the equation
x^2 - x - 30 = 0 ----> (x-6)(x+5)=0
Next find the solution by setting those in the paranthesis equal to zero.
x-6=0 ----> x= 6
x+5=0 ----> x= -5
Answer:
B) 9x² + 6x + 1
Step-by-step explanation:
(3x + 1)^2
(3x + 1) • (3x + 1)
9x² + 3x + 3x + 1
9x² + 6x + 1
The equation for this would be:
y+6= 1/5(x+7)