Step-by-step explanation:
Let the larger integer be x
Hence, the smaller integer = x-2
Hence,
Reciprocal of the x= 1/x
Reciprocal of x-2= 1/ x-2
Hence. their sum=
![\frac{1}{x} + \frac{1}{x - 2} \\ = \frac{x - 2 + x}{x(x - 2)} \\ = \frac{2x - 2}{ {x}^{2} - 2x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bx%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7Bx%20%20-%202%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7Bx%20-%202%20%2B%20x%7D%7Bx%28x%20-%202%29%7D%20%5C%5C%20%20%3D%20%20%5Cfrac%7B2x%20-%202%7D%7B%20%7Bx%7D%5E%7B2%7D%20%20-%202x%7D%20)
Answer:
The cone'll require about 37.5 cm of tubing
Step-by-step explanation:
To do this, we need to know that the volume of the medium will have to be the same volume of the cone that will be printed.
Then, the volume of the cone is:
V = π*r^2*h/3
V = 3.14 * 5^2*8 / 3 = 209.33 cm^3
We can assume that the tubing is a cylinder so:
V = π*r^2*h
The radius is 1 1/3, and this is:
1*3 + 1 = 4/3
Solving for h we have:
h= V/π*r^2
h = 209.33 / 3.14*(4/3)^2
h = 209.33 / 5.58
h = 37.5 cm
Answer:
2
8
+
1
4
+
2
1
Step-by-step explanation:
you distribute the 7 through the whole problem
Answer:
Step-by-step explanation:
Statements Reasons
1). Triangle ABC is isosceles. D is 1). Given
the midpoint of AC.
2). AD ≅ DC 2). Definition of midpoint
3). BA ≅ BC 3). Definition of an isosceles
triangle.
4). BD exists 4). A single line segment can be
drawn between any two points.
5). BD ≅ BD 5). Reflexive property
6). ΔABD ≅ ΔCBD 6). By SSS property of congruence
7). ∠BAC ≅ ∠BCA 7). CPCTC