Answer:
A=80 square feet.
Step-by-step explanation:
First, we find the area of the model. 6*4=24. Now, due to the ratio of 1:40, we know that every inch is actually forty inches. So, you do this:
24*40=960.
So, the area of the actual living room is 960 inches. Or 80 feet.
Answer:
circle area = 1963.495 ft²
Step-by-step explanation:
<u>Given</u>
A rectangle 550 ft by 350 ft packed with circles on a rectangular grid
<u>Find</u>
the area of the largest circle that can be packed this way
<u>Solution</u>
The diameter of the circle must be a factor of both 350 and 550. We want the diameter to be the largest such factor. We can write the factors of 350 and 550 as ...
- 350 = 50 × 7
- 550 = 50 × 11
The largest factor common to both numbers is 50, so that will be the diameter of the largest circle that will fit on a square grid.
The area of a circle is commonly given by the formula ...
A = πr² . . . . . where r represents the radius of the circle.
The radius is half the diameter, so will be (50 ft)/2 = 25 ft. And the area of the circle is ...
A = π(25 ft)² = 625π ft² ≈ 1963.495 ft²
The area of one circle is about 1963.495 square feet.
_____
The total number of circles is 11×7 = 77. Their total area is 77×1963.495 ft² ≈ 151,189 ft². This is 151,189/192,400 ≈ 78.54% of the total area of the rectangle.
Answer:
Step-by-step explanation:
The solution to a system of linear equations is the ordered pair (or pairs) that satisfies all ... Solve the following system of equations by substitution. ... For example, consider the system of equations below: 3x + 2y = 6 x − y = 8 ... 12x + 18y = 39
Answer:
1/1
Step-by-step explanation:
