Answer:
0.25 feet per minute
Step-by-step explanation:
Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.
Since base diameter = Height of the Cone
Radius of the Cone = h/2
Therefore,
Therefore: 
We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.
When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute
1) The variables are "k"
2) There are 4 terms
3) The coefficients are k
4) The constants are -7, 3, 10, -5
5) The like terms is -7k, 3k, 10k, -5k
The answers are pretty direct but, hope this answers your question.
Have a great day/night!
Answer:
7
Step-by-step explanation:
Put the m value where m is
9/3+4
9/3 simplified is 3
3+4=7
Answer:
£375
Step-by-step explanation:
The tax changed from 17.5% of the car's price to 20% of the car's price, an increase of 2.5% of the car's price.
The increased tax amount is ...
0.025 × £15000 = £375
The price of the car went up by £375 due to the increase in VAT.
Mary's house is approximately 49.73 miles from her grandmother's house.
The distances the three drove were;
Mary drove for 49.73 miles, Theo drove 50 miles and Nancy drove 53.299 miles.
Explanation:
- The given triangle has a 13 mile long adjacent side, a 48 mile long opposite side and the distance of Mary's route is the hypotenuse. As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
- Assume the hypotenuse of the triangle measures x miles. According to Pythagoras theorem, x = √(13² + 48²) , x = √169 + 2,304 x = √2,473 = 49.729. Rounding this off, we get Mary's route was 49.73 miles long.
- Nancy drove √2,840 miles = 53.2916 miles.
- So Mary drove the shortest distance of 49.73 miles, second shortest was Theo who drove for 50 miles and the longest was Nancy who drove for 53.299 miles.
