On the map the ratio is 3cm:4km
The map distance is 24cm
Our overall ratio is 3 : 4
24 : ?
We can find the scale factor by doing 24/3 which is 8. Then do 8 x 4 = 32km
The actual distance is therefore 32km
<h3>Answer:</h3>
5
<h3>Solution:</h3>
- First, n*7 can be written as 7n.
- Then, 7*5 is equivalent to 35.
- So we have
- 7n=35
- In order to find the value of n, we need to divide both sides by 7:
- n=5
Hope it helps.
Do comment if you have any query.
To evaluate

First, we input 0, for theta in the function to obtain:

This is an indeterminate form.
So, we apply L'Hopital's rule by differentiating the numerator and the denominator as follows:
Sin θ = 2 / 7
tan θ > 0
cos θ = ?
sin θ = opposite / hypotenuse
tan θ = opposite / adjacent
cos θ = adjacent / hypotenuse
short leg = opposite = 2
hypotenuse = 7
long leg = adjacent = ?
adjacent = √(7² - 2²)
adjacent = √(49 - 4)
adjacent = √45
adjacent = √9 * 5
adjacent = 3 √5
cos θ = adjacent / hypotenuse
cos θ = 3√5 / 7