<h3>Answer:</h3>
<h3>Explanation:</h3>
You can try the choices to see which one works. The differences between an values double each time. They have the sequence 1, 2, 4, 8. So, you know that choices A) and D) do not work. They show the difference to be constant at 1 or 8. Since the differences are multiplied by 2, C) is a reasonable choice. Trying that, we find it describes the sequence perfectly:
a2 = 2·2 -1 = 3
a3 = 2·3 -1 = 5
a4 = 2·5 -1 = 9
a5 = 2·9 -1 = 17
___
Trying choice B on the last term, we have
... a5 = 3·a4 -3 = 3·9 -3 = <em>24 ≠ 17</em>
Answer:
sqrt 51
Step-by-step explanation:
You should use the pythagorean theorem, which states a^2+b^2=c^2. So the missing side length for the smaller triangle is sqrt{2^2+3^2}=sqrt{4+9}=sqrt{13}. And the side length x is sqrt{8^2-sqrt{13}^2}=sqrt{64-13}=sqrt{51}
Answer:
640 ft^3
Step-by-step explanation:
In this case we must divide the area into two parts, in the prism and in the pyramid, the sum of the volume of these parts would be the total volume
However
for the volume of the prism it would be the multiplication of the three sides, that is:
8 * 8 * 9 = 576
i.e. 576 ft ^ 3
For the pyramid, the formula is the multiplication of the area of the base by the height divided by 3, we know that the area of the base is 8 * 8 and that the height is 3, therefore:
8 * 8 * 3/3 = 64
64 ft ^ 3 is the volume of the pyramid
The total would be:
576 + 64 = 640
Total volume would be 640 ft ^ 3
Answer:
The answer is (x+4)
Step-by-step explanation:
Just write the expression as a product with the factor x and 4
x²+2×x×4+4+16
then write the number in the exponential form with an exponent of 2
x²+2×x×4+4²
then use a² +2ab +b² = (a+b)² yo factor the expression which you get (x+4)