Answer: 54 ft²
Step-by-step explanation:
Area of a kite is calculated by the formula:
= (Length * Height) / 2
Length = 6 + 6 = 12 ft
Height = 9 ft
Area = (12 * 9) / 2
= 108 / 2
= 54 ft²
Use the formula
for quadratic trinomial. Then you can form from a quadratic trinomial perfect square:
.
From the last given step you have that
.
Since 5·16=80, you can substitute the previous expression for perfect square into function expression and get:
.
This means, when x=-4, f(-4)=-80 and vertex has coordinates (-4,-80).
Answer: correct choice is C.
Answer:
29.4 %
Step-by-step explanation:
The area of the sector is directly proportional to the angle subtending the arc.
Area of sector/area of circle = 106°/360° = 0.294
The area of the sector is 29.4 % the area of the circle, so
A point chosen at random will be in the shaded region 29.4 % of the time.
Answer:
Option D. 
Step-by-step explanation:
we know that
The area of the image is equal to the area of the complete square minus the area of triangle 1, minus the area of triangle 2, minus the area of triangle 3, minus the area of trapezoid 4
see the attached figure to better understand the problem
<em>Find the area of the complete square </em>

<em>Find the area of triangle 1</em>

<em>Find the area of triangle 2</em>

<em>Find the area of triangle 3</em>

<em>Find the area of triangle 4</em>

The area of the image is equal to
