Answer:
Area of circle A =113.14 mm²
Area of circle b = 314.29 mm²
Area of circle C = 452.57 mm²
Area of circle A = 254.57 mm²
2.25 times
Step-by-step explanation:
Area of a circle = nr²
where n = 22/7
r = radius
Circle A's radius = 6mm
Circle B's radius = 6mm + 4mm = 10mm
Circle C's radius = 10mm + 2mm = 12mm
Circle D's radius = 12mm - 3mm = 9mm
Area of circle A = (22/7) x 6² = 113.14 mm²
Area of circle b = (22/7) x 10² = 314.29 mm²
Area of circle C = (22/7) x 12² = 452.57 mm²
Area of circle A = (22/7) x 9² = 254.57 mm²
Number of times the area of circle D is greater than that circle A = Area of circle D / Area of circle A
254.57 mm² / 113.14 mm² = 2.25 times
Answer:
No.
Step-by-step explanation:
Change it so that both fractions would have the same denominator. Note that what you do to the denominator, you must also do to the numerator.
Multiply 3 to both the numerator & denominator of 8/20
(8/20)(3/3) = 24/60
24/60 ≠ 25/60 ∴ these 2 fractions are not proportional.
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Answer:
Option A : y = 40x - 85 is the correct answer.
Step-by-step explanation:
Given that:
Cost of purchasing supplies = $85
Cost charged for cleaning a pool = $40
Let,
x be the number of pools cleaned.
y be the profit
Profit = Cost of pools cleaned - purchase price of supplies
y = 40x - 85
Hence,
Option A : y = 40x - 85 is the correct answer.
Answer:
31 feet.
Step-by-step explanation:
It is mentioned in the question that
Height of baseball expressed in feet
T = time in seconds
Also

Now the time is 3.5 so put this value to the above equation
h = -16(3.5)^2 + 64(3.5) + 3
= -16(2.25) + 224 + 3
= -196 + 227
= 31
Therefore the height of a baseball is 31 feet and the same is to be considered
Answer:
The perimeter of the garden is 400 feet.
Step-by-step explanation:
Consider the provided information,
Raja is laying tiles on a path that forms the diagonal of a square garden. If Raja is told that the length of the diagonal path is 
The length of the diagonal of a square garden is 
Let x represent the side of square.
By Pythagorean theorem we know:
Where c is hypotenuse.
The diagonal of the square divides the square into two right angle triangle.
Where, the sides of the square are the legs of the triangle and diagonal is the hypotenuse of the triangle.
Hence, the side of the square is 100 ft.
The perimeter of the square is
where s is the side of square.

Hence, the perimeter of the garden is 400 feet.