A perfect square is a number that can be expressed as the product of two equal integers.
Answer:
The height above sea level at <em>B</em> is approximately 1,604.25 m
Step-by-step explanation:
The given length of the mountain railway, AB = 864 m
The angle at which the railway rises to the horizontal, θ = 120°
The elevation of the train above sea level at <em>A</em>, h₁ = 856 m
The height above sea level of the train when it reaches <em>B</em>, h₂, is found as follows;
Change in height across the railway, Δh = AB × sin(θ)
∴ Δh = 864 m × sin(120°) ≈ 748.25 m
Δh = h₂ - h₁
h₂ = Δh + h₁
∴ h₂ ≈ 856 m + 748.25 m = 1,604.25 m
The height above sea level of the train when it reaches <em>B</em> ≈ 1,604.25 m
percent of increase for a population that changed from 25,000 to 30,000
Increase in population = 30,000 - 25,000 = 5000
So, the increase in population is 5000
To find percent of increase , we divide the increase in population by initial population.
So percent of increase =
* 100
= 0.2 * 100
= 20 %
20% of increase for a population that changed from 25,000 to 30,000.
Answer:
<em>There are 72 crayons in the box</em>
Step-by-step explanation:
<u>Fractions</u>
To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.
Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

From that portion, 65% are red, or equivalently, 35% are yellow.
We write 35% as a fraction:

Thus, the portion of yellow crayons is:

This fraction of x crayons is equal to 14, thus:

x = 72
There are 72 crayons in the box
Answer:
Step-by-step explanation: