Answer:
a. d = 
b. d = 
c. d = 
Step-by-step explanation:
to find the length of the longest diagonal of the cube at first you will find the length of the diagonal if its base
If the length of the side of a cube is x
∴the length of the diagonal of the base = 
Now to find the length of the longest diagonal we will use Pythagoras with the side of the cube and the diagonal of the base


means the length of the side multiply by root 3
a. The length of the side is 1 so 
b. The length of the side is 2 so 
c. The length of the side is <em>s s</em>o 
Answer:
Step-by-step explanation:
d+821=5323
d=4502
So the distance she climbed in the first four days was 4502 feet.
Answer:
10^-1*2.65
Step-by-step explanation:
two hundred sixty-five thousandths= 0.265
We need a number between 1 and 10, to do the multiplication in standard form, so 0.265 turns into 2.65.
Because 2.65 becomes, smaller we use a negative power. We only move the decimal place once to the left, so we would multiply 2.65 by 10^1.
10^-1*2.65=0.265
Answer:
Answer: the vase contains 1017.36 inches³ of soil.
Step-by-step explanation:
We would apply thee formula for determining the volume of a cylinder which is expressed as
Volume = πr²h
Where
h represents the height of the cylinder
r represents the radius of the cylinder.
π is a constant whose value is 3.14
From the information given
Diameter = 12 inches
Radius = diameter /2 = 12/2
Radius = 6 inches
Height = 12 inches
Therefore,
Volume of the cylindrical vase =
3.14 × 6² × 12 = 1356.48 inches³
If the vase is filled 3/4 full of soil, then the volume of soil in the vase is
3/4 × 1356.48 = 1017.36 inches³
The correct answer is B)
-3 < y ≤ 3
You can tell this by looking at the graph. The lowest that it goes is -3. You'll also note that the -3 has an open circle, which means that it isn't includes and thus needs a <.
The highest it goes it 3. You'll note that it has a closed circle, which means it is included and needs a ≤.