Answer:
the explanation is in the picture
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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:
well its go -3 -2 . 0 . 1.25 4
Step-by-step explanation:
we are given
You can buy a 6 hour phone card for $5
so, total hours = 6 hours
now, we can change it into min
6 hours = 6*60 min
Let's assume
x is the number of actual minutes talked,
y is the called number of minutes left on the card
and we are given
each minute you talk actually costs you 1.5 minutes of time
so, we get equation as
Graph:
Answer: (3,-5)
Step-by-step explanation:
It is
