2 1/2 = 2 8/16
so
2 8/16 + 1 1/16 = 3 9/16
The answer is the third option
Answer:
Step-by-step explanation:
5x - y = 3.......(1)
2y = 10x+2.....(2)
Rearranging (2)
-10x + 2y = 2......(3)
Multiply equation (1) by 2
10x - 2y = 6..........(4)
Adding (3) and (4)
-10x + 10x + 2y - 2y = 2 + 6
No solution since both x and y are eliminated.
Answer:
19.02173913043478
Step-by-step explanation:
The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²
The equation of a circle.
Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center.
r is the radius of a circle.
The midpoint of the given points represents the center of this circle:
h = (4 + 4)/2 = 4
k = (5.5 + 10.5)/2 = 8
Next, we would determine the radius by using the distance formula for coordinates:
r = √[(x₂ - x₁)² + (y₂ - y₁)²]
r = √[(4 - 4)² + (10.5 - 5.5)²]
r = √[0² + 5²]
r = √25
r = 5 units.
Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Learn more about circle here: brainly.com/question/12823137
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Answer:
The correct answer is third option. 994
Step-by-step explanation:
<u>Points to remember</u>
Volume of cylinder = πr²h
Where 'r' is the radius and 'h' is the height of cylinder
From the given question we get the cylinder height and radius
The height h = 3 times the diameter of one ball
= 3 * 7.5 = 22.5 cm
Radius = half of the diameter of a ball
= 7.5/2 = 3.75 cm
<u>To find the volume of cylinder</u>
Volume of cylinder = πr²h
= 3.14 * 3.75² * 22.5
= 993.515 ≈ 994
The correct answer is third option. 994
