Answer:
Actual distance is 4500 cm (45 m).
Step-by-step explanation:
A scale is a representative fraction that can be used to either increase or decrease proportionally the dimension of a given object.
scale =
It is in the form of a ratio.
From the question, Distance on map = 4.5 cm,
scale = 1 : 1000
=
scale =
Let the actual distance be represented by d.
So that,
=
⇒ d = 4.5 x 1000
= 4500
d = 4500
The actual distance is 4500 cm (45 m).
Answer: 583
/500 [hopefully that is right i am sorry if it is not i am not the best.
Step-by-step explanation:
1.166 = 583
/500
as a fraction
Answer:
x=3/radical2,-3/radical2,3/4
Step-by-step explanation:
By factoring you get
4x(2x^2-9)-3(2x^2-9)=(2x^2-9)(4x-3)=0
x^2=9/2, x=3/4
x=3radical2/2, -3radical2/2 , 3/4
Answer:
2x³ - 2x² - 12x
Step-by-step explanation:
2x (x - 3)(x + 2) = (2x² - 6x)(x + 2)
= 2x³ + 4x² - 6x² - 12x
= 2x³ - 2x² - 12x
Answer:
9.43 cm³
Step-by-step explanation:
Given that the surface area of the spherical scoop is 36π cm², we find its radius. The surface area of a sphere, A = 4πr² where r = radius
36π cm² = 4πr²
r² = 36π cm²/4π
r² = 9 cm²
r = √(9 cm²)
r = 3 cm
So, the volume of the spherical scoop of ice cream is thus V = 4πr³/3
= 4π(3 cm)³/3
= 4π(9 cm³)
= 36π cm³
The volume of the ice cream cone is V' = πr²h/3 where r = radius of cone = radius of spherical scoop = 3cm and h = height of cone = 11 cm
V' = π(3 cm)² × 11 cm/3
= 9π cm² × 11 cm/3
= 33π cm³
So, the volume of ice cream that will overflow is thus V - V' = 36π cm³ - 33π cm³
= 3π cm³
= 9.43 cm³