Answer:
613 meters
Step-by-step explanation:
1)
cos(50 degrees)=324/x
x*cos(50 degrees)=324
x=324/cos(50 degrees)
x=around 504.1
2)
cos(35 degrees)=324/x
x*cos(35 degrees)=324
x=324/cos(35 degrees)
x=around 395.5
now lets find the distance in between the two people:
Distance from Shively to the tower
tan(50 degrees)=x/324
x=324*tan(50 degrees)
x= around 386.1
Distance from Sparzak to the tower
tan(35 degrees)=x/324
x=324*tan(35 degrees)
x=around 226.9
total distance=386.1+226.9=613 meters
Answer:
36
Step-by-step explanation:
24^2 = (12)(12+x)
576 = 144 + 12x
432 = 12x
36 = x
Answer:
The population of bacteria can be expressed as a function of number of days.
Population =
where n is the number of days since the beginning.
Step-by-step explanation:
Number of bacteria on the first day=![\[5 * 2^{0} = 5\]](https://tex.z-dn.net/?f=%5C%5B5%20%2A%202%5E%7B0%7D%20%3D%205%5C%5D)
Number of bacteria on the second day = ![\[5 * 2^{1} = 10\]](https://tex.z-dn.net/?f=%5C%5B5%20%2A%202%5E%7B1%7D%20%3D%2010%5C%5D)
Number of bacteria on the third day = ![\[5*2^{2} = 20\]](https://tex.z-dn.net/?f=%5C%5B5%2A2%5E%7B2%7D%20%3D%2020%5C%5D)
Number of bacteria on the fourth day = ![\[5*2^{3} = 40\]](https://tex.z-dn.net/?f=%5C%5B5%2A2%5E%7B3%7D%20%3D%2040%5C%5D)
As we can see , the number of bacteria on any given day is a function of the number of days n.
This expression can be expressed generally as
where n is the number of days since the beginning.
Each group of 2 nickels and 1 quarter has a value of $0.35. Rachelle has $6.30/$0.35 = 18 such groups.
Rachelle has 18 quarters and 36 nickels.
Answer:
and 
Step-by-step explanation:
Think about it.
What two numbers multiply to -15 and add up to 2?
The answers are 5 and -3.
So plug that into the factored form of a parabola.

To find the x-intercepts, plug in 0 for
.

Since we are multiplying, at least one of the terms has to equal 0.

So the x-intercepts are
and
.