This is a 30-60-90 triangle. The short leg is given to us as 5
The long leg is equal to sqrt(3) times the short leg
long leg = sqrt(3)*(short leg)
long leg = sqrt(3)*5
long leg = 5*sqrt(3)
The base is 5. The height is 5*sqrt(3)
b = 5
h = 5*sqrt(3)
Use this to find the area
A = b*h/2
A = 5*5*sqrt(3)/2
A = 25*sqrt(3)/2
which is the exact area in terms of a radical
You can write it out as
Assuming you mean y = 200 - 16t^2, we have all the required information needed to solve this problem. The y-value is the height of the building and the t-value represents the number of seconds after the shoe fell off.
Since we are trying to solve <em>for t</em>, we will be using our y-value. The problem states that we landed on a building with a height of 31 feet. We can plug this into the y-value, since that is what y is defined as (the height of the building).
Now we have:
31 = 200 - 16t^2
We can solve this to find t:
-169 = -16t^2
169 = 16t^2
10.5625 = t^2
3.25, -3.25 = t
We have found two answers for t. However, the negative value is not a solution because we can not have a negative number of seconds. Thus, 3.25 is the only value of t which works for this problem.
Since t is the value we are trying to find, we have our answer. The shoe hits the building after 3.25 seconds.
Answer:
(10/3, 2/3)
Step-by-step explanation:
You may find it easier to write these two equations x+y=4 2x-y=6 in a column:
x+y=4
2x-y=6
Adding these together will eliminate y:
3x = 10. Then x = 10/3.
Substituting 10/3 for x in the first equation results in:
10/3 + y = 4
Clear fractions by multiplying all three terms by 3:
10 + 3y = 12
Then 3y = 2, and y = 2/3.
The solution is (10/3, 2/3)
Answer:
JK = 18 also
Step-by-step explanation:
D = adult
c = child
t = total admission cost
t = 8d + 5c
t = 8(2) + 5(3) = $31
