Answer:
Not rigid motion
Step-by-step explanation:
The mapping rule is x,y --> x+3, 2y
It's not a translation , rotation, reflection, nor glide reflection.
Distance is not preserved
Answer: 144 minutes
Step-by-step explanation:
Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.
Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.
Therefore,
1/x + 3/x = 1/36
4/x = 1/36
x = 36 × 4
x = 144
The number of minutes taken by the slower pipe will be 144 minutes.
A = Pe^rt
Amount of interest paid = Principal*e^ (rate*time)
(The rate must be in decimal form)
3.15% / 100 = .0315
1,512 = P[e^(.0315*12)]
1,512 / e^(.0315*12) = P
1036.06 = P
$1036.06 was the Principal
** I left that value unrounded to the hundreds place because one doesn’t round with money. :)
Good luck!
Answer:
how to solve it is in the question above I hope it helps
First, find the value of x. Note that the angles x, 0.5x and 3x sum up to 4.5x, and that this sum has the value 180 degrees. Solving this equation for x, we get x = 40 degrees.
Now, 0.5x and 0.5y are vertical angles, and thus x = y. So, with x being 40 degrees, y = 40 degrees.
