Expert Help with High School Geometry

Distance between (3,-1,1) and (8,6,0)?

What is the distance between (2,3,6) and (4,9.4)?

Distance between (-3,2,-3) and (0,4,-2)?

Distance between (-12,1,3) and (-6,2,1)?

Write its converse. If the converse also true, combine the statements as a biconditional
If p $\to <!--\; \to \; -->$ q is true, then $\sim <!--\; \sim \; -->$ q $\to <!--\; \to \; -->$$\sim <!--\; \sim \; -->$ p is true

The radius r of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of th volume when r = 24 inches.

Two cylinder cans have the same volume. One can is triple the height of the other. If the narrow can has a radius of 12 inches, what is the radius of the wider can?

A circular cylinder with a volume of 8$\mathrm{\pi <!--\; \pi \; -->}$ $m^3$ is circumscribed about a right prism whose base is an equilateral triangle with one side that measures 2m. what is the altitude of the cylinder.

How do you find the distance when given two coordinate points?

Volume: The Disk Method AP Calculus AB
Finding the Volume of a Solid - Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis
$y=e^{-<!--\; -\; -->x},y=0,x=0,y=1$
Why would the upper limit of integration be 1?

A person travels directly south along the earth's surface from the North pole until reaching the equator. Assuming the earth's radius is 4000 miles, find the distance travelled measublack in miles?

Prove statement: Complements of the same angle are congruent.

Finding volume using triple integral when i have given set.
Find the volume of:
$V=[(x,y,z):0⩽<!--\; ⩽\; -->z⩽<!--\; ⩽\; -->4-<!--\; -\; -->\sqrt{x^2+y^2},2x⩽<!--\; ⩽\; -->x^2+y^2⩽<!--\; ⩽\; -->4x]$
I should somehow construct triple integral here in order to solve this, which means that i have to find limits of integration for three variables, but i am just not quite sure how, i assume that i should first integrate for z since we could say that limits for z are already given, but what i am supposed to do with other two variables. When i find limits, what function i am going to integrate, is it going to be just $\iiint <!--\; \iiint \; -->dzdydx$?

what is the perimeter of a circle with diameter of 4 inch

$A\mathrm{\setminus <!--\; \setminus \; -->}B=B\mathrm{\setminus <!--\; \setminus \; -->}A⟺<!--\; ⟺\; -->A=B$
can we actually prove it without using contradiction?

What is the probability that the determinant of a matrix of order 2 is positive ,whose elements are i.u. ran.var.in the interval(0,1)?
I have been thinking about the problem for quite a while and it seems to me a problem on geometric probability albeit in four dimensions.For if the elements of the matrix are a,b,c,d(row-wise) the value of the determinant is ad-bc.the problem reduces to finding the probability P(ad-bc>0) subject to given domain and distributation of a,b,c,d.In our problem the sample space is the 4D unit cube.If we take the axes as X,Y,Z,U THE REQUISITE PROBABILITY IS GIVEN BY THE FRACTION OF 4D VOLUME OF THE UNIT CUBE FOR WHICH XY-ZU>0. I would love to see a solution along these goemetrical lines.

Finding the Probability function of the remainder.
Let X have a geometric distribution with $f(x)=p(1-p)x$, $x=0,1,2,\dots <!--\; \dots \; -->$. Find the probability function of R, the remainder when X is divided by 4.
I am stuck on the above practice question: If I say $R=0,1/4,2/4,\dots <!--\; \dots \; -->$… and then use the continuous case equivalent of geometric distribution to find the probability function of R, which is exponential distribution, will I be correct?

Distance between (-5,2) and (4,7)?

Volume of a Hyperboloid using triple integration/shadow method
Could someone help me find the volume of the hyperboloid
$\frac{x^2}{1817}+\frac{y^2}{1817}-<!--\; -\; -->\frac{z^2}{10914}=1$
with the limits in the $z-<!--\; -\; -->axis$ of -130 to 43? I tried using triple integration, but I'm not sure how to convert the variable the in limit of the innermost integral into a number. I would also be open to any other methods of finding the volume.

Distance between (-6,3,1) and (-4,0,2)?