Answer:
<u>True </u>Postulates are used to prove theorems.
<u>True</u> Two points determine a line
Step-by-step explanation:
A postulate, in mathematics, is a numerical property that cannot be directly proven, but it is still present, and no has exceptions. Postulates are often used to prove theorems, particularly in geometry. An example of this can be found in the midsegment theorem which states that the average of the two bases in a trapezoid gives the length of the midsegment. Depending on how one chooses to prove this, one could potenitally need the Parts-whole Postulate theorem. Thus, one can state that Postulates are used to prove theorems.
A line can be drawn to connect any two given points. Therefore, one can states that two points determine a line, as only two points are needed for one to draw a line between them.
Answer:
Step-by-step explanation:
Given that
To find tangent, normal and binormal vectors at (0,0,1)
i) Tangent vector
At the particular point, r'(t) = (1,1,e)
Tangent vector = 
ii) Normal vector
T'(t) = 
At that point T'(t) = (0,0,e)/e = (0,0,1)
iii) Binormal
B(t) = TX N
= ![\left[\begin{array}{ccc}i&j&k\\1&1&e^t\\0&0&e^t\end{array}\right] \\= e^t(i-j)](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C1%261%26e%5Et%5C%5C0%260%26e%5Et%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%3D%20e%5Et%28i-j%29)
Answer:
The volume of the sphere is 2048 in³.
Step-by-step explanation:
The volume of a sphere is given by:
Where:
r: is the radius = 8 in
Having the radius and by using 3 for π, the volume is:
Therefore, the volume of the sphere is 2048 in³.
I hope it helps you!
Answer:
I believe the answer is D. I can guarentee you that C is incorrect at least
The answer is A $ 167
I=pr^t-p
I=500(104.2/100)^7-500
I=500(1.042^7-1)
I=$167.00 to nearest dollar
