Answer:
This is physics. By the way look the explanation.
Step-by-step explanation:
The formula of Potential Energy is E=mgh, where m is the mass of the object, g the gravitational, and h the height of the object. Given that the potential energy of the object is 150 Joules at 3 meters height, Represent m=E/(g*h), considering g=9.8 m/s^2(Because this value was used for the first object), we get m=150/9.8/3=5.102
Rounding to 2 decimals` 5.10 kg
9514 1404 393
Answer:
1 < x < 29
Step-by-step explanation:
The triangle inequality requires the sum of the two shortest sides exceed the longest side.
<u>When x and 14 are the shortest</u>:
x + 14 > 15
x > 1
<u>When 14 and 15 are the shortest</u>:
14 +15 > x
29 > x
Then the requirement for the length of x is ...
1 < x < 29
_____
<em>Additional comment</em>
The length of the third side of a triangle can be between the difference and sum of the two given sides.
Answer:


Step-by-step explanation:
Let x represent number of small candles and y represent number of large candles.
We have been given that Jonah needs to buy at least 20 candles. This means number of small and large candles should be greater than or equal to 20. We can represent this information in an inequality as:

We are also told that small candles cost $3.50, so cost of x small candles would be
.
Since large candles cost $5.00, so cost of y large candles would be
.
We are told that Jonah cannot spend more than $80, this means cost of x small candles and y large candles should be less than or equal to $80. We can represent this information in an inequality as:

Therefore, our required system of inequalities would be:

