263.27 m^2
rectangle : 15 x 10 = 150 m^2
the half circle at the top has a diameter of 6m. therefore, it’s radius is 3m. if it is cut in half, the part removed from the triangle height is 3m. therefore, the height of the triangle is 35 -15 = 20; 20 - 3 = 17. the height of the triangle is 17. the triangle area formula is a = 1/2(bh).
a = 1/2 (10)(17)
a = 1/2 (170)
a = 85 m^2
the circle would be a = πr^2 but divided by 2 bc it’s a half circle
a = π(3)^2
a = π9
a = 28.27 m^2
150 + 85 + 28.27 = 263.27 m^2
See the graph
<h2>
Explanation:</h2>
Remember to write complete questions in order to get good and exact answers. Here you haven't provided any option, but it's easy to plot this point on a coordinate system in order to know the location of the movie theater. We know that this theater is at the point:

So let's plot this point in the cartesian plane:
- The x-coordinate is -4
- The y-coordinate is 2.
So the graph is shown below. Remember that the horizontal axis is called the x-axis while the vertical axis is called the y-axis.
- x > 0 for the x-values to the right of the origin.
- x < 0 for the x-values to the left of the origin.
- y > 0 for the y-values above the origin
- y < 0 for the y-values below the origin.
<h2>Learn more:</h2>
Cartesian coordinate system: brainly.com/question/2141683
#LearnWithBrainly
Area of a triangle is given by 1/2bh where b is the base and h is the perpendicular height of the triangle.
The area is 80x∧5y³ and the height is x∧4y
Thus; 80x∧5y³ = 1/2(x∧4y) b
160x∧5y³ = (x∧4y)b
b = (160x∧5y³)/ x∧4y)
b = 160xy²
Therefore, the base of the triangle is 160xy²
Answer:
see explanation
Step-by-step explanation:
The meaning of n factorial → n !
n ! = n(n - 1)(n - 2)........ × 3 × 2 × 1
For example
7 !
= 7 × 6 × 5 × 4 × 3 × 2 × 1