Answer: 33 ft².
Step-by-step explanation:
1. As you can see in the figure attached, the trapezoid is formed by a rectangle and two equal right triangles. The base of each triangle is 4 feet and you know the lenght of the hypotenuse AD, therefore, you can calculate the height by applying the Pythagorean Theorem:

2. Now, you can calculate the area with the following formula:
Where <em>B</em> is the longer base,<em> b</em> is the shorter base and <em>h</em> is the height.
Then:

Solution:
we have given the length of the rectangular card-

and, width-

now, the area of the card will be- length×width.
so, we have-

we also have given the length of ribbon-

and, width-

so, area of the ribbon is-
length×width

now the area of shaded gray region will be-

Hence, the required expression would the above expression.
Answer:
1/5
Step-by-step explanation:
60 /5 = 12
So there are 12 red, 12 orange, 12 yellow, 12 green, 12 purple
P(green) = green/ total = 12/60 = 1/5
Answer:
Vertical parabolas give an important piece of information: When the parabola opens up, the vertex is the lowest point on the graph — called the minimum, or min. When the parabola opens down, the vertex is the highest point on the graph — called the maximum, or max.
Step-by-step explanation: