<span>Solve for "x":
a/x = x/4a
---
x^2 = 4a^2
x = 2a</span>
Answer:
1.30 p.M.
Step-by-step explanation:
The factory whistle blowed at 1:00 p.M, and it blows every 30 minutes, so it will blow again at 1:30 p.M.
The clock tower chimed at 1.00 p.M., and it chimes every 15 minutes, so it will chime again at 1:15 p.M, and after that, it will chime again at 1:30 p.M.
So, you will hear them both at the same time at 1:30 p.M.
We can also solve this problem using LCM:
the least commom multiple between 15 and 30 is 30, so we just need to sum 30 to the inicial time (1:00 p.M.), so the time they will "find each other" again is 1.30 p.M.
Answer:
Michael bought 18 tacos and 9 burritos.
Step-by-step explanation:
Since at a particular fast food restaurant, tacos cost $ 1.29 and burritos cost $ 2.19, and Michael spent a total of $ 42.93 at the restaurant to buy food for a party, if he purchased half as many burritos as tacos, to determine how many tacos did he buy, the following calculation must be performed:
1.29 x 20 + 2.19 x 10 = 47.7
1.29 x 16 + 2.19 x 8 = 38.16
1.29 x 18 + 2.19 x 9 = 42.93
So Michael bought 18 tacos and 9 burritos.
ANSWER
4 ft
EXPLANATION
The velocity equation of the oscillating spring is given by the function.

To find the displacement function, we need to to Integrate the velocity function.


At time t=0, there was no displacement.
This implies that,




The displacement function then becomes,

To find the displacement over the first π seconds, we put

into the equation for the displacement to get,



Answer:
the area of the circle is 102.11 square metres