The ball's maximum height is 30.25 feet.
<h3>What is quadratic equation?</h3>
A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, b, are the coefficients, c is the constant term, and x is the variable.
Given:
h= -16t²+36t+10
Differentiate w.r.t. 't',
h' = -32t+36
When h=0, that will be the maximum height
32t= 36
t= 9/8
t= 1.125 sec.
So, The maximum height is
h(1.123)= -16(1.125)² + 36*1.125+10
h(1.125) = 30.25 feet.
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Answer:
13,92838827718412ft
Step-by-step explanation:
a² + b² = c²
a = 13ft
b = 5ft
169 + 25 = 194
c = √194
c = 13,92838827718412ft
By definition of conditional probability,
P(B | A) = P(A ∩ B)/P(A) = (13/25) / (13/20) = 20/25 = 4/5
You just have to multiply each number by 180 and that's how many you have of each color respectively
Answer:
53/50
Step-by-step explanation:
9/15 + 14/12
Simplify.
9/15 + 7/6
Make denominators equal.
54/90 + 105/90
Add fractions since denominators are equal.
159/90
Simplify.
= 53/50
