Answer:
A volcano ejected with an initial velocity of 304 feet per second.
The height in feet is given by the equation H=-16t^2+ 304t where t is the time in seconds.
We will use the equation that traces the path of the projectile to determine the following information:
1) The time it takes the projectile to reach its maximum height (using the vertex formula: t=-b/2a)
The equation; H = -16t^2 + 304t, a=-16; b=304
t = -304/2°(-16)
t = 9.5 sec to reach max height
2) The maximum height of the projectile (use the result from part 1 to find the maximum height of the projectile)
t = 9.5
H = -16(9.5^2) + 304(9.5)
h = = -1444 + 2888
h = 1444 ft is the max height
3) Find the time it takes the projectile to return to the ground. Assume that the projectile starts at height H=0.
-16t^2 + 304t = 0
factor out -16t
-16t(t - 19) = 0
t = 19 sec to reach the ground
Step-by-step explanation:
Event A: The sum is greater than 5.There are 10 sums equal to 5 or less. Therefore there are 26 sums greater than 5.P = 26/36
Event B: The sum is divisible by 4.The sums that are divisible by 4 are the<span> three</span> 4's, five 8's, and the <span>one </span>12.That means there are nine sums divisible by 4. P = 9/36
To find a % you want to divide the # of new members, by the total # of members.
14/34 =0.41
Since this gave you a decimal, multiplying by 100 will give you a %!
0.41 x 100 = 41%
This means that 41% of the club is new members!
The length of a segment knowing the coordinates of its end points:
(x₁,y₁) and (x₂,y₂) is given by the formula:
Length = √[(x₁ - x₂)² + (y₁ - y₂)²]
T(1,4) ; A(4,4) ; P(3,0)
a) TA =√[(1-4)²+(4-4)²] → TA = 3
b) AP =√[(4-3)²+(4-0)²] →AP = √17 = 1.123
c) TP =√[(1-3)²+(4-0)²] → TA = √20 = 4.472
Perimeter = TA + AP + TP = 8.60
