Answer:
The number is -2
Step-by-step explanation:
step 1
Find the reciprocal of 2/3
Remember that when multiply a number by its reciprocal, the result is 1
so
The reciprocal of 2/3 is 3/2
step 2
Let
x-----> the number added to the numerator and denominator
Solve for x
step 3
verify
substitute x=-2
Simplify
----> is ok
therefore
The number is -2
Answer:
Step-by-step explanation:
Given that the figure is made up of portion of a square and a semicircle, we have;
BC ≅ AB = 6 cm
The area of semicircle BC with radius BC/2 = 3 is 1/2×π×r² = 1/2×π×3² = 4.5·π cm²
Triangle ABC = 1/2 × Area of square from which ABC is cut
The area of triangle ABC = 1/2×Base ×Height = 1/2×AB×BC = 1/2×6×6 = 18 cm²
The area of the figure = The area of semicircle BC + The area of triangle ABC
The area of the figure = 4.5·π cm² + 18 cm² = .