Answer:
87.73 inches
Step-by-step explanation:
We are given that the dimensions of the rectangular doorway are,
Length = 6 ft 8 inches = 80 inches and Width = 3 feet = 36 inches.
Using Pythagoras Theorem, we will find the diagonal of the rectangular doorway.
i.e. 
i.e. 
i.e. 
i.e. 
i.e. Hypotenuse = ±87.73 inches
Since, the length cannot be negative.
So, the length of the diagonal is 87.73 inches.
As, the largest side of a rectangle is represented by the diagonal.
So, the largest dimension that will fit through the doorway without bending is 87.73 inches.
Numerical expressions contain numbers, while algebraic expressions contain variables and numbers.
<u>Numerical Expression</u>
"Difference" indicates that we'll be subtracting 13 from 48.
48 - 13 = 35
<u>Algebraic Expression</u>
Variables represent the unknown number, in this case the difference between 48 and 13. Let d represent the difference between the two.
48 - 13 = d
35 = d
To know the mass of the sphere given the density , we first define density as
D = Mass / volume
now we have a value of density but doesn't have volume so we compute for it using the given radius 5.5 cm
V = <span>(4/3)πr^3
so
mass = D (volume)
mass = 11.34 (</span>(4/3)π(5.5)^3 )
mass = 7902.96 g <span>Hope my answer would be a great help for you.
If </span>you have more questions feel free to ask here at Brainly.
<span> </span>
Answer:
The volume of the ball is 256 cm³
Step-by-step explanation:
we know that
The density is equal to the ratio of the mass by the volume
D=m/V
Solve for V
The volume is equal to the ratio of the mass by the density
V=m/D
In this problem we have
m=128 g
D=0.5 g/cm³
substitute
V=128/0.5=256 cm³
