Step-by-step explanation:
Identity the variable:
Initial Velocity is 35.
Initial Height is 204
Final Height is 0.
What looking for the time.
So we have
Use Quadratic Formula,
A is -16, B is 35 , C is 204.
So we have
The positve solution is
So the answer is 4.83 seconds
The trick here is to relate the NUMBER of coins to each other in one equation, and then the VALUE of the coins in another equation. If I have 1 dime, that 1 dime is worth 10 cents. The number of dimes is obviously not equal to the value. Let's call quarters q and dimes d. The number of these 2 types of coins added together is 80 coins. So q + d = 80. Now, we know that quarters are worth .25 and dimes are worth .1, so we express a quarter's worth as .25q; we express a dime's worth as .1d. The value of the coins we have is 14.90. So that equation is .25q + .1d = 14.90. Let's solve the first equation for q. q = 80 - d. We can now use that as a substitution for q into the second equation, giving us an equation with only 1 unknown, d. .25(80-d) + .1d = 14.90. Distributing through the parenthesis we have 20 - .25d + .1d = 14.90. Combining like terms gives us - .15d = - 5.1. We will divide both sides by - .15 to get that the number of dimes is 34. If we had a total of 80 coins, then the number of quarters is 80 - 34, which is 46. 46 quarters and 34 dimes
Answer:
<h2>The dimensions are 3, 4 and 6 centimeters.</h2>
Step-by-step explanation:
Notice that the surface of 24 square centimeters is formed by 6 times 4, which gives 24 square centimeters.
The 12 square centimeres surface is formed by 3 times 4, which gives 12.
The 18 square centimeters surface is formed by 3 times 6, which gives 18.
Therefore, the three dimensiosn to form the prism are 3 cm x 4 cm x 6 cm.
Where 6 cm is the height, 3 cm and 4 cm are the width and length.
<em>-5 4/9 is one way.</em>
-5 = -45/9, so -45/9 + 4/9. <em>-41/9 is another way.</em>
-41/9 = -4.5555.... , so -4.5555... is another way.
<h2>-5 4/9 , -41/9 , -4.5555....</h2>
