Answer:
<em>97.5 sq. ft.</em>
Step-by-step explanation:
Im presuming the question asks to find area of the shaded region.
First of all, the total figure is a rectangle. We can write an expression(in words) for the shaded area.
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
Now, we find respective areas.
Area of rectangle:
length * width = (5+10) * (12) = 15 * 12 = 180
Area of Small Triangle (white):
A = (1/2) * base * height = (1/2) * 5 * (12-3) = (1/2) * 5 * 9 = 22.5
Area of Large Triangle (white):
A = (1/2) * base * height = (1/2) * 10 * (12) = 60
Now, we find area of shaded region:
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
<em>Shaded Area = 180 - 22.5 - 60 = 97.5 sq. ft.</em>
Answer:
Step-by-step explanation:
Probability of an event to occur (P) =
1). Probability of getting the red crewmate,
Probability of getting a chef hat,
=
Probability of getting the red crewmate and the chef hat =
=
=
2). Probability of getting blue crewmate,
Probability of getting an egg hat,
Probability to get the blue crewmate and an egg hat =
=
=
3). Probability of getting a green crewmate =
Probability of getting a banana hat =
Probability of getting a green crewmate and banana hat
=
=
The first thing we must do in this case is to define variables:
a = number of total points
b = number of remaining games
c = number of points scored
x = number of points per game.
The linear equation is:
a = bx + c
Substituting the values:
1000 = 9x + 424
Answer:
An equation that is used to find the average number of points, x, the team needs to score in each of the remaining games to meet their goal is:
1000 = 9x + 424