Answer:
x=6
Step-by-step explanation:
81^x = 27 ^(x+2)
81 = 3^4 and 27 =3^3 so replace 81 and 27 in the equation
3^4^x = 3^3^(x+2)
When we have a power to a power we can multiply the exponents
a ^b^c = a^(b*c)
3^(4x) = 3^(3*(x+2))
Since the bases are the same, the exponents have to be the same
a^b = a^c means b=c
4x = 3(x+2)
Now we can solve for x
Distribute
4x = 3x+6
Subtract 3x from each side
4x-3x = 3x-3x+6
x = 6
<h2>Time taken by Helga to wax the car is 72 minutes</h2>
Step-by-step explanation:
Let w be the work of waxing.
Rosita can wax her car in 2 hours or 120 minutes.
Time taken by Rosita = 120 minutes

Let time taken by Helga be t,

When she works together with Helga, they can wax the car in 45 minutes.
We have

Time taken by Helga to wax the car is 72 minutes
Answer: F (cos(230)).
Explanation:
Cosine corresponds to the x coordinate of points on a circle when the radius is drawn in like this, so the answer would be the cos of that angle, but you have to account for the fact that the 50 degree angle marked is just the reference angle not the entire angle so you have to add 180 degrees to that to get 230.
Answer:
4/44 i think
Step-by-step explanation: