Answer:
31.4 in³
Step-by-step explanation:
The box is just big enough to hold the 3 balls, so it must have a length 6 times the radius of each ball, a width 2 times the radius, and a height 2 times the radius.
The volume of the box is:
V = (6r)(2r)(2r)
V = 24r³
The volume of the 3 balls is:
V = 3 (4/3 π r³)
V = 4πr³
So the volume of the air is:
V = 24r³ − 4πr³
V = (24 − 4π) r³
Since r = 1.4 inches:
V = (24 − 4π) (1.4 in)³
V ≈ 31.4 in³
Step-by-step explanation:
mL = Undefined
mM = ?
mL × mM = -1
mM = -1 ÷ mL
mM = -1/mL
mM = -1/Undefined
mM = -1/(1/0)
mM = (-1 × 0)/1
mM = 0
Slope of line m is 0
Option → C
Answer:
58 minutes.
Step-by-step explanation:
From the question, Karen worked on the model in two windows;
1) 11.13 AM - 11.54 AM = 41 minutes
2) 1.29 PM - 1.46 PM = 17 minutes.
Hence, the total amount of time Karen spent working on the Shuttle model is:
41minutes + 17minutes = 58 minutes.
Answer:
1/4, 3/5, 8/10
Step-by-step explanation:
3/5 is greater than 1/4
(2/4 is equal to 2.5/5---that should give you a visual picture why)
8/10 is greater than 3/5
3/5 multipled by 2 is 6/10
so, 6/10<8/10
Answer:
Option 1: CD is a perpendicular bisector of AB
Step-by-step explanation:
Let us find out the slopes of various line segments and the Distances and then we will draw the conclusions accordingly.
Formula to find slope

Formula to Find Distance between two points

mAB ( represents , Slope of AB )
1. 
2. 
3. 
4. 
5. 
mAC = mBC , and C is common point , hence these three are collinear points making a straight line whole slope is 



Hence CD ⊥ AB
Also
From Point 4 and point 5 above , we see that
AC = CB
Hence CD bisect AB at C, also CD ⊥ AB
There fore
CD is a perpendicular bisector of AB
Therefor option 1 is true