Answer:
The area of an equilateral triangle with the side of 6 inches = 15.59 inches²
Step-by-step explanation:
Formula:-
Area of equilateral triangle = √3a²/4
Where 'a' is the side of equilateral triangle.
<u>To find the area of given triangle</u>
Here side a = 6 inches
Area = √3a²/4
= (√3 * 6²)/4
= (1.73 * 36)/4 = 1.73 * 9 = 15.59 inches²
Answer:
The average value of 
over the interval ![[-2,5]](https://tex.z-dn.net/?f=%5B-2%2C5%5D)
is 
.
Step-by-step explanation:
Let suppose that function is continuous and integrable in the given intervals, by integral definition of average we have that:
(1)
(2)
By Fundamental Theorems of Calculus we expand both expressions:
(1b)
(2b)
We obtain the average value of over the interval ![[-2, 5]](https://tex.z-dn.net/?f=%5B-2%2C%205%5D)
by algebraic handling:
![F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)](https://tex.z-dn.net/?f=F%285%29%20-%20F%283%29%20%2B%5BF%283%29-F%28-2%29%5D%20%3D%2040%20%2B%20%28-30%29)
The average value of over the interval is .
Answer:
n ≥ 1/5
Step-by-step explanation:
Let the number be n. Then 5n + 2 ≥ 3.
If you want to solve this for n, then subtract 2 from both sides, obtaining:
5n ≥ 1. Isolate n by dividing both sides by 5. Then we have n ≥ 1/5
Answer:
-54
Step-by-step explanation:
The second place runner had already completed 320 meters when the winner crossed the finish line
