Answer:
Postulate.
Step-by-step explanation:
If two distinct planes intersect, then their intersection is a line. This is a postulate.
A postulate is a true statement, which does not require to be proved.Postulate is used to derive the other logical statements to solve a problem.
Postulates are also called as axioms. Postulates are the basic structure from which lemmas and theorems are derived. Postulates are the most basic assumptions with which a reasonable person would agree.
Answer:
0-1.99
Step-by-step explanation:
It has the greatest number, as shown on the y-axis on the left
If this helped please mark brainliest :D
Answer: Bottom right is not true (last one)
rate = 26/6.5 = 4
4 in per minute (b) -
so it's constant rate (a)
15 x 4 = 60 (60 inch. in 15 minutes) (c)
Answer:
r = 2 units
h= 36 units
Step-by-step explanation:
Given That:
Cones A and B both have volume cubic 48π units
The volume of a cone = ![\frac{1}{3} \pi r^2h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h)
So for cone A
![V_A = \frac{1}{3} \pi r_A^2 h_A](https://tex.z-dn.net/?f=V_A%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r_A%5E2%20h_A)
Volume for cone B
![V_B = \frac{1}{3} \pi r_B^2 h_B](https://tex.z-dn.net/?f=V_B%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r_B%5E2%20h_B)
Due to different dimensions;
Cone A has
radius = 6 units
height = 4 units
To determine the one possible radius and height for cone B;
we have
![\frac{1}{3} \pi r_A^2 h_A =\frac{1}{3} \pi r_B^2 h_B](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r_A%5E2%20h_A%20%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r_B%5E2%20h_B)
![\frac{1}{3} \pi (6)^2 (4) =\frac{1}{3} \pi r_B^2 h_B](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%286%29%5E2%20%284%29%20%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r_B%5E2%20h_B)
![150.9=\frac{1}{3} \pi r_B^2 h_B](https://tex.z-dn.net/?f=150.9%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r_B%5E2%20h_B)
![150.9=1.047r_B^2 h_B](https://tex.z-dn.net/?f=150.9%3D1.047r_B%5E2%20h_B)
![r_B^2 h_B=144.12](https://tex.z-dn.net/?f=r_B%5E2%20h_B%3D144.12)
![r_B^2 h_B=144](https://tex.z-dn.net/?f=r_B%5E2%20h_B%3D144)
Therefore; the only possible way for this equation is :
![r_B = (2)\\h_B = 36](https://tex.z-dn.net/?f=r_B%20%3D%20%282%29%5C%5Ch_B%20%3D%2036)
If we are to check: we will realize that;
![r_B^2h_B = (2)^2*36 =144](https://tex.z-dn.net/?f=r_B%5E2h_B%20%3D%20%282%29%5E2%2A36%20%3D144)
Therefore, the possible radius for the cone B = 2 units and height = 36 units. Hence from the question, we are told they both have the same volume of 48 π units.
Answer:
D
Step-by-step explanation:
Hello, This is a geometric sequence where the first term is
.
It means that the sequence is
.
In other words, as the common ratio is 7 the sequence is defined by
![a_1=-1](https://tex.z-dn.net/?f=a_1%3D-1)
![a_{n+1}=a_n\cdot 7 \ \ \text{ for n }\geq 1](https://tex.z-dn.net/?f=a_%7Bn%2B1%7D%3Da_n%5Ccdot%207%20%5C%20%5C%20%5Ctext%7B%20for%20n%20%7D%5Cgeq%201)
For instance, we can estimate the first terms:
![a_1=-1\\\\a_2=7a_1=-7\\\\a_3=7a_2=-49](https://tex.z-dn.net/?f=a_1%3D-1%5C%5C%5C%5Ca_2%3D7a_1%3D-7%5C%5C%5C%5Ca_3%3D7a_2%3D-49)
And we know that we can even find a formula for the
term of the sequence by:
![a_n=a_1\cdot 7^{n-1}=-7^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1%5Ccdot%207%5E%7Bn-1%7D%3D-7%5E%7Bn-1%7D)
Now, to answer the question, the domain for n is all integers where
.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you