9514 1404 393
Answer:
5/9 m/min
Step-by-step explanation:
The depth of the water is 2/5 of the depth of the trough, so the width of the surface will be 2/5 of the width of the trough:
2/5 × 2 m = 4/5 m
Then the surface area of the water is ...
A = LW = (18 m)(4/5 m) = 14.4 m²
The rate of change of height multiplied by the area gives the rate of change of volume:
8 m³/min = (14.4 m²)(h')
h' = (8 m³/min)/(14.4 m²) = 5/9 m/min
Answer:
7. 2355 m
8. 1570 km
9. 157 cm
10. 40.82 m
Step-by-step explanation:
The circumference of a circle is pi * diameter or 2 * pi * radius.
If you are given the diameter, just multiply it by pi, 3.14.
If you are given the radius, then multiply the radius by 2 and then by pi, 3.14.
7. d = 750 m
circumference = pi * d = 3.14 * 750 m = 2355 m
8. d = 500 km
circumference = pi * d = 3.14 * 500 km = 1570 km
9. r = 25 cm
circumference = 2(pi)r = 2 * 3.14 * 25 cm = 157 cm
10. r = 6.5 m
circumference = 2(pi)r = 2 * 3.14 * 6.5 m = 40.82 m
Answer:
Answer: The length of string from kite to the ground is 111.5 feetStep-by-step explanation:Given ... of the ground, and its string is pulled tout. The angle of elevation of the kite is 43. Find the length of the string. Round your answer to the ... The height from the ground at which kite is flying = BC = h = 76 feet.
Step-by-step explanation:
Answer: 8.2
Step-by-step explanation: So the way i do it is first i see that 6.15 is 75% of a number, and i know that 75% is 3/4. so i start by divided 6.15 by 3, and getting 2.05. i then times it by 4, making it 4/4. Therefore, getting 8.2
Using derivatives, it is found that:
i) 
ii) 9 m/s.
iii) 
iv) 6 m/s².
v) 1 second.
<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>
- The velocity is the derivative of the position.
- The acceleration is the derivative of the velocity.
In this problem, the position is:
item i:
Velocity is the <u>derivative of the position</u>, hence:
Item ii:
The speed is of 9 m/s.
Item iii:
Derivative of the velocity, hence:
Item iv:
The acceleration is of 6 m/s².
Item v:
t for which a(t) = 0, hence:
Hence 1 second.
You can learn more about derivatives at brainly.com/question/14800626
