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:
Step-by-step explanAnswer: -$1465.5
Ms. Thomas pays the 'same' amount as her car loan each month through car payments.
Total amount payed at the end of the year for car loan = -$2931
Change in Ms. Thomas' savings account each month (with respect to car loan) =
-2931/12 = -$244.25
So, to to calculate the total change to Ms. Thomas's savings account balance after paying for car loan for six months, we will simply multiply one month's amount with 6:
-$244.25 x 6 = -$1465.5ation:
The answer is 25. 20-30= -10+15=5x5=25
Answer:
81 million
Step-by-step explanation:
A = Pe^rt
Let's break this equation down.
A is the total you will have.
P is the starting value.
R is the rate
T is the time.
Let's find the rate first.
74000000 = 70000000e^7r
Divide each side by 70mil
74000000/70000000 = e^7r
Then take the ln() of each side.
ln(74000000/70000000) = 7r
0.0556 = 7r
r = 0.0079
Now we can find how many people will be there in 2010.
A = 70,000,000e^(19 * 0.0079)
A = 81336530.2373
Now we round to the nearest million, leaving us with 81 million.