In 20 seconds, a roller coaster goes up a 100-meter hill, then down 72 meters and then back up a 48-meter rise. what integer represents the vertical change from the start of the ride for the coaster after the 20 seconds
Answers
This is the answer
I hope if you get it correct or right
Good luck everyone
The total vertical change from the start of the ride for the roller coaster after the 20 seconds 76 m.
What is vertical change?The rise is the vertical difference between two points called vertical change.
Calculation for the vertical change:Step 1: Calculation for the the total rise when roller coaster goes up a 100 meter hill and the down 72 meter.Thus, the total vertical rise will be,
100 (upward) - 72 (downward) = 28(upward)
Step 2: Calculation for the total rise after the roller coaster again goes vertical to 48 meter.So, the total rise will become,
28(upward) + 48(upward) = 76(upward)
Therefore, the total vertical rise of the roller is 76 meter during the time of 20 seconds.
To know more about the vertical line test, here
https://brainly.com/question/2257047
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Step-by-step explanation:
In the diagram, mBDA = 150°. Find mBDC.
Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Answer:
the answer is 9/100
Step-by-step explanation:
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Find a formula for a geometric sequence that begins 100, 120, 144, ....
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Answer:
[tex]b_{n} =b_{1} r^{n-1} =100*1.2^{n-1}[/tex]
Step-by-step explanation:
first number is [tex]b_{1} =100[/tex]
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
The rate of change is 12ft/s
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 20t[/tex]
Required
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The time she jumps is represented as: t = 0
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Rate of change is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
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[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]
Where
[tex](a,b) = (0,1/2)[/tex]
So, we have:
[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]
[tex]Rate = \frac{h(1/2) - h(0)}{1/2 - 0}[/tex]
[tex]Rate = \frac{6 - 0}{1/2 - 0}[/tex]
[tex]Rate = \frac{6}{1/2}[/tex]
[tex]Rate =12[/tex]
The rate of change is 12ft/s
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answer:
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Answers
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Answers
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Step-by-step explanation:
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Answer:
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The Bungling Brothers Circus is in town and you are part of the crew that
is setting up its enormous tent. The center pole that holds up the tent
is 70 feet tall. To keep it upright, a support cable needs to be attached to
the top of the pole so that the cable forms a 60° angle with the ground.
a) How long is the cable?
b) How far from the pole should the cable be attached to the ground?
Answers
Answer:
a. 80.83 ft b. 40.42 ft
Step-by-step explanation:
Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.
a) How long is the cable?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,
sinФ = h/L
L = h/sinФ
L = 70 ft/sin60°
L = 70 ft/0.8660
L = 80.83 ft
b) How far from the pole should the cable be attached to the ground?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,
tanФ = h/x
x = h/tanФ
x = 70 ft/tan60°
x = 70 ft/1.7321
x = 40.42 ft
The length of the cable is 80.83 ft and the distance from the pole should the cable be attached to the ground is 40.42 ft and this can be determined by using the trigonometric function.
Given :
The Bungling Brothers Circus is in town and you are part of the crew that is setting up its enormous tent. The center pole that holds up the tent is 70 feet tall. To keep it upright, a support cable needs to be attached to the top of the pole so that the cable forms a 60° angle with the ground.a) The trigonometric function can be used in order to determine the length of the cable.
[tex]\rm sin\theta=\dfrac{h }{L}[/tex]
where h is the height of the pole, L is the length of the pole, and [tex]\theta[/tex] is the angle from the ground.
Substitute the known terms in the above expression.
[tex]\rm L=\dfrac{h }{sin\theta}[/tex]
[tex]\rm L = \dfrac{70}{sin60}[/tex]
L = 80.83 ft.
b) The trigonometric function can be used in order to determine the distance from the pole should the cable be attached to the ground.
[tex]\rm tan \alpha =\dfrac{h}{x}[/tex]
where x is the distance between pole and cable.
Substitute the known terms in the above expression.
[tex]\rm x = \dfrac{70}{tan 60 }[/tex]
x = 40.42 ft.
For more information, refer to the link given below:
https://brainly.com/question/21286835
What does the y-intercept of the graph represent?