Answer:
Step-by-step explanation:
Since an equilateral has all of the sides equal, we can find the height of triangle using: . I attached a diagram which should explain how I got the dimensions of the three sides. Using the information from the diagram we get the equation:
Subtract a^2 from both sides
Take the square root of both sides
If you know the area of a triangle, it's: . In this case the base=a, and the height is what we defined above. Using this we get:
We can distribute the exponent over the division to get:
Now we can rewrite a^2 as 4a^2/4
Now add the two fractions:
We can distribute the square root the division just like how we distributed the exponent 2, since the square root can be expressed as an exponent (1/2)
There's a radical identity that states: . We can use this to rewrite one radical as multiple radicals to simplify it:
Simplify:
Now multiply the two fractions
This is the formula for the area of an equilateral triangle, but it is also often written as:
Answer:
Option A: f(x) = log_0.98 (n/74)
Step-by-step explanation:
We are told that that the number of species is decreasing by 2% per year.
Thus, number of species each year is 98% or 0.98 of number of species the previous year. .
We are told that there are currently 74 species of amphibians in the rain forest.
Thus, n/74 will represent a fraction of the current number of species.
Thus, the logarithmic function that models the time can be written as;
f(x) = log_0.98 (n/74)
Answer:
3 Lemonade
Step-by-step explanation:
We add $1.00 with $0.10, then we get $1.10
We then divide $1.10 to the amount Sara paid
$3.60/1.10, we will get the answer 3