"<span>Associative Property of Multiplication" is the one property among the choices given in the question that is shown in the equation. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that has come to your great help.</span>
You need to find what x is equal to for each equation, so you can sub why x is equal to in the place I'd x to eliminate the variable
1. 6x-5y=-4
6x=5y-4
X=5/6y-2/3
2. 4x+2y=28
4x=-2y+28
X=-1/2y+7
Hope this helps!
The correct answer is:
[C]: "
37, 680 mm³ " .
________________________________________________________
Explanation:
________________________________________________________
The formula for the volume, "
V" , o
f a cylinder is: → V =
* r² * h ;
→ in which "
r = length of radius" ; "
h = height" ;
________________________________________________________ {Note that the formula for the
volume, "
V" ,
of a cylinder is: → "
Base area * height " .
________________________________________________________ → Specifically, for a cylinder, the "Base area" is the area of a "circle", because the base is a circle;
→ and the formula for the "
area of a circle = [
tex] \pi [/tex] * r² " ;
→ in which "
r =
length of the radius" .
As such, t
he formula for the volume, "
V"
, of a cylinder is:______________________________________________________ → Volume = (Base area) * (height) ;
= (
r² ) * h ;
______________________________________________________
→ V =
r² h ;
in which: "
V = volume {in "
cubic units" ; or, write as "
units³ "
} ;
"
r = radius length" ;
"
h = height" ;
_____________________________________________________ → Now,
we shall solve for the volume, "
V", of the given cylinder in this question/problem:
_____________________________________________________ → V =
r² h ;
in which: "
r = radius = ? " ;
→ To find "
r" ; We are given the diameter, "d = 40 mm" ;
→ Note that:
"r = d/2 = (40 mm) / 2 = 20 mm " ;
{i.e., "the radius is half of the diameter".}.
→ "
r = 20 mm " ;
→ "
h = height = 30 mm " {given in figure) ;
→ For
; let us use "
3.14 " — which is a commonly used approximation.
→ For this question/problem, none of the answer choices are given "
in terms of 
" ;
→ so we shall use this
"numerical value" as an "
approximation" ;
_______________________________________________________Now, let us plug in our known values into the formula;
and calculate
to find the volume, "
V",
of our given cylinder;
as follows:_______________________________________________________
→ V =
r² h ;
= (3.14) * (20 mm)² * (30 mm) ;
= (3.14) * (20)² * (mm)² * (30 mm) ;
= (3.14) * (20)² * (30) * (mm³) ;
= (3.14) * (400) * (30) * (mm³) ;
= 37, 680 mm³
__________________________________________________
The volume is: "
37, 680 mm³ " ;
→ which is:
Answer choice [C]: "
37, 680 mm³ " .
___________________________________________________
Hope this answer and explanation—albeit lengthy—is of some help to you.
Best wishes!
Answer:
The input is the letter in the parentheses.
Step-by-step explanation:
f(h) is h
g(f) is f
h(g) is g
Answer: 10
Step-by-step explanation: