Volume = s³ = (9.5)³ = 9.5 × 9.5 × 9.5 = 857.375 in³
Answer:
<em>Proof below</em>
Step-by-step explanation:
<u>Right Triangles</u>
In any right triangle, i.e., where one of its internal angles is 90°, some interesting relations stand. One of the most-used is Pythagora's Theorem.
In a right triangle with shorter sides a and b, and longest side c, called the hypotenuse, the following equation is satisfied:

The image provided in the question shows a line passing through points A(0,4) and B(3,0) that forms a right triangle with both axes.
The origin is marked as C(0,0) and the point M is the midpoint of the segment AB. We have to prove.

First, find the coordinates of the midpoint M(xm,ym):


Thus, the midpoint is M( 1.5 , 2 )
Calculate the distance CM:


CM=2.5
Now find the distance AB:

AB=5
AB/2=2.5
It's proven CM is half of AB
Answer: 6a 2(a+2a) and the last one
Step-by-step explanation:
Answer:
1,256.8in
Step-by-step explanation:
Given data
Height h =4in
Radius r= 5in
The expression for the volume of cylinder is
V=πr²h
Substitute
V=3.142*4²*5
V=3.142 *16*25
V=1,256.8in³