FACTOR....x^2 + 10× - 2400 = 0
1 answer:
Answer:
x= -5 + 5, x= -5 - 5
Step-by-step explanation:
Since this quadratic is set to zero, we can use the quadratic formula to solve this.
x^2 + 10x - 2400 = 0
Quadractic formula = x= -b +- /2a
For this equation:
a= 1, b=10, c=-2400
Plug these numbers into the equation and solve.
x= -10 +- )/2(1)
x= -10 +- /2
x= -10 +- /2
x= -10 +- /2
x= -10 +- 5 * 2/2
x= -10 +- 10 / 2
Divide by 2.
x= -5 +- 5
Answer:
x= -5 + 5 or x= -5 - 5
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The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)
<h3>How to interpret Cycle Graphs?</h3>
From the diagram attached, we can say that;
Period = 2π/k
where;
k = 2π/2.25
k = 8π/9
Thus;
h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)
h(t) = -24cos (8π/9)t + 24.5
Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;
41 = -24cos (8π/9)t + 24.5
41 - 24.5 = -24cos (8π/9)t
16.5 = -24cos (8π/9)t
-0.6875 = cos (8π/9)t
cos⁻¹0.6875 = (8π/9)t
t = 0.834 min
Thus, time interval is between;
0.834 < t < (2.25 - 0.834)
⇒ 0.834 < t < 1.416 and
(2.25 + 0.834) < t < (2.25 + 1.416)
⇒ (3.084, 3.666)
Read more about Cycle Graphs at; brainly.com/question/24461724
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Answer:
1539 cubic meters
Step-by-step explanation:
Hello, I can help you with this
to solve need we will need these two equations
Step one
Remember
area of a circle
Also, the volume of the cylinder
Volume= area of the circle * height
Step 2
put the values into the equation
Let
diameter= 14 m
height = 10 m
I hope it helps,have a great day.