7
The answer is 7
The ratio would look like 35/7
Answer
B., C.
Step-by-step explanation:
Since the 'E' in the middle
it represents that the angle forms at the vertex E
Answer:
12 cm
Step-by-step explanation:
AB and DC are parallel to each other, so they are the same length. Set their lengths equal to each other and solve for x
4x = 7x - 9
4x - 7x = 7x - 7x -9
-3x = -9
-3x/-3 = -9/-3
x = 3
Now solve for AB.
AB = 4x
AB = 4(3)
AB = 12
By "density" I assume you mean "probability density function". For this to be the case for
, we require
Since
you have
which means
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.
