just subtracting by 2x on both sides
hope this helps
Answer:
The answer is A for this
Since A is the only graph showing correct location of the coordinates of F and G while the others showing different coordinates of these 2 points.
The answer should be 0.97
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 answer is 64 people.
Step-by-step explanation:
If they invite 64 people and all of them show up you multiply that by 30 you get 1,920 add 70 to that and you get 1,990. The reason that 64 is the maximum is because if it were 65 it would go over their budget and if it were below 64 then we wouldn't be getting the greatest number possible.