The volume of the space not filled by the sphere is the difference between the volume of a cube with edge length 6 inches and the volume of a sphere with radius 3 inches.
<h3><u>Cube</u></h3>
The volume of a cube of edge length s is
... V = s³
When the edge length is 6 in, the volume is
... V = (6 in)³ = 216 in³
<h3><u>Sphere</u></h3>
The volume of a sphere with radius r is
... V = (4/3)π·r³
When the radius is 3 in, the volume is
... V = (4/3)π·(3 in)³ = 36π in³
<h3><u>Space</u></h3>
Then the volume of the space between the cube and the sphere is
... Vcube - Vsphere = 216 in³ - 36π in³ ≈ 102.9 in³ . . . . corresponding to choice C
Assuming you are given a picture of intersecting lines.
Switch the reasons for b) and c)
b) the angles form a linear pair , from the picture, so this is linear pair postulate
C) Then the measures add to 180, because they are supplementary. Defn of supplementary.
E) you have divided both sides of the equation by 2; or multiplied by 1/2; multiplication property of equality
F) definition of right angle
G) definition of perpendicular
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
Step-by-step explanation:
k(a) =3a+2
k(2)=3*2+2
k(2)=6+2
k(2)=8
Answer:
Hey!
Your answer is C.42.4yd
Step-by-step explanation:
There are 2 ways you can work this on out...
1. Using Pythagoras Theorem...
= 30^2 + 30^2 = 1,800 (30^2=900 so you've added 2 of those to make 1,800)
= SQUARE ROOT THE ANSWER OF 1,800
= 42.42640687119285
TO GET A MORE PRECISE ANSWER WE ROUND IT UP TO 1 decimal place
= 42.4 yd is the diagonal length of the dance floor!!
HOPE THIS HELPS!!
Well, to find out how many times 20.4 can split into 3.4, you need to divide 20.4÷3.4 and you will get 6, and Katrin (K-A-T-R-I-N) is 6 letters, so you have enough room, the answer is yes.
