Answer:
a) 8 seconds
b) 3 seconds
c) 170 meters
Step-by-step explanation:
a) When the ball lands in the sea, s = -80.
-80 = 30t − 5t²
5t² − 30t − 80 = 0
t² − 6t − 16 = 0
(t + 2) (t − 8) = 0
t = -2 or 8
t = 8 seconds
b) The ball reaches its highest point when the velocity is 0 (or at the vertex of the parabola).
t = -b / (2a)
t = -30 / (2 × -5)
t = 3 seconds
c) The highest point is:
s = 30(3) − 5(3)²
s = 45
So the ball rises 45 meters, falls 45 meters, then falls 80 meters.
The total distance traveled is 45 + 45 + 80 = 170 meters.
Answer:
1.12243
2.1111
3.128.33333
4.6000
5.17
Step-by-step explanation:
The value of c is 81/64 for the expression a perfect square trinomial.
<h3>
What is an Expression?</h3>
An expression can be defined as a mathematical statement that consists of variables, constants and mathematical operators simultaneously.
It is given that an expression
x² +9/4x +c is a perfect square polynomial
c =?
(a+b)² = a² +2ab+b²
2ab = 9/4
b = 9/8
c = b² = 81/64
Therefore the value of c is 81/64 for the expression a perfect square trinomial.
To know more about Expression
brainly.com/question/14083225
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There are seven days in the week. Out of those seven days, five are weekdays and two are weekends. The probability of the summer solstice occurring on a weekday is a ratio for the # of weekdays/the # of days in a week: 5/7.
Answer:
32
Step-by-step explanation: