Using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall. C. 13 ft
Given:
A circle of radius r inscribed in a square.
To find:
The expression for the area of the shaded region.
Solution:
Area of a circle is:

Where, r is the radius of the circle.
Area of a square is:

Where, a is the side of the square.
A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.

So, the area of the square is:


Now, the area of the shaded region is the difference between the area of the square and the area of the circle.




Therefore, the correct option is (a).
Answer:
66 minutes
Step-by-step explanation:
11.96 - 8 =3.96
Every 10 minutes Deon pays 60 cents because 6 times 10 = 60 and every 6 minutes Deon is paying 36 cents
10 min = 60 cents
20 min = $1.20
40 min = $2.40
50 min = $3.00
60 min = $3.60
6 min = 36 cents
Then you do 3.60 + 36 which equals $3.96
How to figure how the minutes is just 60 + 6 = 66 minutes
9514 1404 393
Answer:
(c) P(x) = x^4 +3x^3 -10x^2 -30x
Step-by-step explanation:
If the polynomial has integer coefficients, its complex or radical roots come in conjugate pairs. That is, -√10 is also a root. The four roots mean the polynomial has degree 4. That eliminates all but answer choice C.
Each root 'a' gives rise to a factor (x -a), so the factored polynomial is ...
P(x) = (x -0)(x -(-3))(x -√10)(x -(-√10))
P(x) = x(x +3)(x² -10) = x(x³ +3x² -10x -10)
P(x) = x^4 +3x^3 -10x^2 -10x