Answer:
2.5
Step-by-step explanation:
2.5 is the constant of proportionality
Answer:$108.94
Step-by-step explanation:
Answer:
Eight pieces
Step-by-step explanation:
Create a number line running from 0 to 4/6.
Label the divisions as 1/6, 2/6, 3/6, and 4/6.
Divide each section in half to get small pieces of length 1/12.
Starting at zero, move to 4/6 on the number line and count the number of pieces as you go.
You count eight pieces, so Dario has eight pieces of rope.
Answer:
1. A rotate 180° counterclockwise (x,y) --> (-x,-y) or
2. A reflect about the origin (0,0) (x,y) --> (-x,-y)
Step-by-step explanation:
A ( -2 , 4) F (2 , -4)
2 ways:
1. A rotate 180° counterclockwise (x,y) --> (-x,-y) or
2. A reflect about the origin (0,0) (x,y) --> (-x,-y)
Wish this is right...
The only part of this problem that's the least bit tricky is knowing
the formula for the volume of a sphere. Here is is:
Volume of a sphere = (4/3) (pi) (radius of the sphere)³ .
Everything else is just arithmetic.
pi . . . use 3.14
Radius . . . 2-1/8 inches. It'll be easier if we write that as 2.125 inches.
Now, just put the numbers into their places in the formula:
Volume = (4/3) (pi) (radius of the sphere)³
= (4/3) (3.14) (2.125)³
and run that through your calculator.
When I run it through mine, I get <u>40.174 in³ .</u>
None of the choices is anywhere near that number.
I'm worried, and I don't understand that.
Maybe we should look back at the question, and notice that
it says "estimate" ... something you do quickly in your head.
OK. We know the real formula ... Volume = (4/3) (pi) (radius)³ .
How could we estimate this quickly in our head?
pi . . . instead of 3.14, just use 3
radius . . . instead of 2-1/8, just use 2 . Then (radius)³ = 2 x 2 x 2 = 8
Then (4/3) (pi) (radius)³ = (4/3) (3) (8) = (4/3) of 24 = <em>32 .</em>
Well now, will you look at that ! I guess that's where the 32 came from
on the list of choices.
