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Answer: 336.14 cm²
Step-by-step explanation:
To find the area of the rectangle after being cut, we want to find the area of the two semicircles and subtract it from the area of the rectangle. The area of the rectangle is just base times height, or 35cm times 14cm = 490cm² . Since there are two semicircles with the same diameter, we can just solve for the area of a circle and subtract it. To find the area of the circle, we need the radius, which we get by dividing the diameter by 2. After that, we calculate the radius to be 7cm, squared and multiplied by 3.14 (area of a circle) to get 153.86 cm². Subtract the areas, and we get 490 - 153.86 = 336.14 cm²
Answer:
5. x = 5, y = 3
6. x = 0, y = 4
7. x = -1, y = 1
Step-by-step explanation:
5. substitute 3(value of y) into the equation y = x - 2:
=> 3 = x - 2
=> x = 5
6. substitute 0(value of x) into the equation y = x + 4:
=> y = 0 + 4
=> y = 4
7. substitute 1(value of y) into the equation y = 2x + 3:
=> 1 = 2x + 3
=> 2x = -2
=> x = -1
Answer:
7x + 2y = -22
Step-by-step explanation:
Standard form looks like Ax + By = C.
Start with Y = -7/2x-11. Better to write that as Y = (-7/2)x - 11 to emphasize that the coefficient of x is the fraction -7/2.
Move the (-7/2)x term to the left:
(7/2)x + y = -11
Multiply all terms by 2 to eliminate the fractions:
7x + 2y = -22 (answer)
Answer:
x is 3
Step-by-step explanation:
6 (x + 1) = 24
6 (x) + 6(1) = 24
6x + 6 = 24
Subtract 6 on both sides
6x + 6 - 6 = 24 - 6
6x + 0 = 18
6x = 18
x = 18/6
x = 3
