To answer this item, we let x be the first positive integer. Then, the second would be x+1. Their reciprocals would be 1/x and 1/(x+1). Then, the equation that would best represent the scenario above is,
1/x + 1/(x+1) = 17/72
Solving the equation above,
((x+1) + x) / (x)(x+1) = 17/72
If we take the numerators of both sides of the equation,
(x+1) + x = 17
The value of x from the equation is 8 and x+1 would be 9. Thus, the answer would be 8 and 9.
Based on the scenario, the case must be filled like this :
blue/green/black x blue/ green/black x blue/green/black x random x random
Different ways he can arrange it :
3 x 5!/(2!x2!) + 3x <span>5!/3!
</span>
90 + 60
= 150 ways
hope this helps
The circumference of the vase is 18.84 inches.
<u>Step-by-step explanation:</u>
The circumference of the cylinder is same as the circumference of its base.
Moreover, the base of the cylinder is actually a circle.
So we need to find the circumference of the circle to find the circumference of the cylinder.
From the given figure, we know that the diameter of the base d= 6 inches.
∴The formula for the circumference of the circle = 2πr or dπ.
⇒ circumference = 6×3.14.
= 18.84.
So the circumference of the circle is 18.84 inches.
∴The circumference of the cylindrical vase is also 18.84 inches.
I don’t know dawg sorry g
The answer is A. Always.
The diameter of a circle is a line that goes from one side to the other hence passing through the center!
Hope this helped!