Express ax − a + x − 1 as a product of two binomials.
2 answers:
In this case you can factorize the expresion using common factor twise as follows:
first factor in the two first terms and use the asociative law to associate the third and fourth terms:
In the last expression, we have once again a common factor, namely . So we factorize by common factor to obtain:
and this complete the answer.
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Answer:
The correct option is;
a. 12 pie cm
Step-by-step explanation:
Cavalieri's principle states that if the cross-sectional area of two or more figures of the same altitude are the same at each level of the figures, then the volumes of the figures are also the same;
Given that the base area of the square based prism and the cylinder are the same, and that the square based prism and the cylinder have equal height of 4 cm, then by Cavalieri's principle, their volumes are the same
The volume of the square based prism = 452 cm³
Therefore, the volume of the cylinder (of equal base area) = 452 cm³
The formula for the volume of square based prism = Area of base × Height
∴ The volume of square based prism, 452 cm³ = Area of base × 4 cm
Which gives;
Area of the base of the square based prism = 452/4 = 113 cm²
The area of the base of the cylinder = The area of the base of the square based prism = 113 cm²
The area of the base of the cylinder, is given by the following equation;
= π×r² = 113 cm²
r = √(113/π) = √35.97 ≈ √36 = 6 cm
The circumference of the base of the cylinder, is given by the following equation
= 2×π×r ≈ 2×π×6 = 12×π cm
The correct option is 12 pie cm.