1. The average rate of change in a riders height between 1 and 3 seconds -30 ft/s
2. The average rate of change in a riders height between 0 and 5 seconds -24 ft/s
3. Another word for rate of change in this situation is speed
<h3>What is speed? </h3>
Speed is defined as the rate of change of the distance travelled with time. Mathematically, it can be expressed as:
Speed = distance / time
With the above idea, we can obtain the answers to the question given above.
<h3>1. How to determine the rate of change between 1 and 3 seconds</h3>
- Change in height = 30 - 90 = -60 ft
- Change in time = 3 - 1 = 2 s
- Rate of change =?
Rate = Change in height / change in time
Rate = -60 / 2
Rate = -30 ft/s
<h3>2. How to determine the rate of change between 0 and 5 seconds</h3>
- Change in height = 0 - 120 = -120 ft
- Change in time = 5 - 0 = 5 s
- Rate of change =?
Rate = Change in height / change in time
Rate = -120 / 5
Rate = -24 ft/s
<h3>3. what is another word for rate of change?</h3>
From the definition of speed given above, we can say that: another word for rate of change is speed
Learn more about speed:
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Answer:
C. 42
Step-by-step explanation:
<em>Since the triangle making up the base of the right triangular pyramid is equilateral, the three lateral triangles will have equal areas. To find the surface area of the pyramid, find the area of one of the lateral triangles and multiply it by 3. Then, add that to the area of the triangle that forms the base.</em>
<em>Area of Lateral Triangle = 1/2 · base · height</em>
<em> = 1/2 · X · Z</em>
<em> = 1/2 · 4 units · 6 units</em>
<em> = 12 square units</em>
<em>Area of Base Triangle = 1/2 · base · height</em>
<em> = 1/2 · X · Y</em>
<em> = 1/2 · 4 units · 3 units</em>
<em> = 6 square units</em>
<em>Now, use the method described above to find the surface area of the pyramid.</em>
<em>Surface Area = 3( Area lateral ) + ( Area base )</em>
<em> = 3 ( 12 square units ) + ( 6 square units )</em>
<em> = 42 square units</em>
Answer:
Step-by-step explanation:
s(1-30/100)=420
s(100-30)/100=420
s(70/100)=420
s(7/10)=420
7s=4200
s=600
Answer:
Option C: 47 tickets
Step-by-step explanation:
Given that:
Tickets given to employees = 1 part
Tickets given to listeners = 2 parts
This means 141 tickets are totally divided into 3 parts so:
1 part = 141/3
1 part = 47
So now,
Tickets given to employees = 1 part = 47 tickets
Tickets given to listeners = 2 parts = 47 *2 tickets = 94 tickets
I hope it will help you!
The horizontal distance between the base of the ladder and the wall is: 11.8 foot
