Perimeter is the sum of all of the sides. Triangles have three, so the expression to use is 12x + 18/3, or 4x + 6.
Since it's a right triangle, we know that we can use SOHCAHTOA for this.
To find a, we know it's the side adjacent to the angle, and our other given value is the opposite side, 18. We can use TOA, (Tangent of 15) x 18, or 18tan15
this is 15.1, so you can now use this concept to find b (hypotenuse), then add that all up to get the perimiter!
Let me know if this helps!
The "expected value of a ticket" is the probability of being drawn multiplied by the earnings associated to being drawn.
($1 is the price of the ticket which of course can be different).
So in this case probability is 1/2000 and the earnings would be valued $1000 (value of the plasma TV).
The expected value is 1/2000*1000=1000/2000=$0,5
This means you should not buy a $1 ticket to play except if this really brings you LOTS of amusement ;)
Let the middle child be x
youngest child = x - 1
Oldest child = x + 1
(x - 1)^2 = 8(x + 1) + 4
x^2 - 2x + 1 = 8x + 8 + 4
x^2 - 10x - 11 = 0
(x - 11) * (x + 1) = 0
X = - 1 makes no sense. How can a middle child be - 1 years old?
x = 11
The youngest child is 10
The middle child is 11
The oldest child is 12
Check
=====
10^2 = 100
(8*12) + 4
96 + 4 = 100 So the results have been checked.
Answer:7300
Step-by-step explanation:
