Answer:
A
Step-by-step explanation:
Because I know what a translation is
The equation which is equivalent to
is
or x = 6 (
).
<u>Step-by-step explanation:</u>
Given Equation:
![\log _{x} 36=2](https://tex.z-dn.net/?f=%5Clog%20_%7Bx%7D%2036%3D2)
As we know, in terms of logarithmic rules, when b is raised to the power of y is equal x:
![b^{y}=a](https://tex.z-dn.net/?f=b%5E%7By%7D%3Da)
Then, the base b logarithm of x is equal to y
![\log _{b}(x)=y](https://tex.z-dn.net/?f=%5Clog%20_%7Bb%7D%28x%29%3Dy)
Now, use the logarithmic rule for the given equation by comparing with above equation. We get b = x, y = 2, and x = 36. Apply this in equation,
![b^{y}=a](https://tex.z-dn.net/?f=b%5E%7By%7D%3Da)
![x^{2}=36](https://tex.z-dn.net/?f=x%5E%7B2%7D%3D36)
When taking out the squares on both sides, we get x = 6. Hence, the given equation can be written as ![\log _{6} 36=2](https://tex.z-dn.net/?f=%5Clog%20_%7B6%7D%2036%3D2)
Answer:
50
Step-by-step explanation:
you multiply 1/5 and 250/1 to get 250/5 then simplify to get 50
Answer:
215 ft
Step-by-step explanation:
The length of the surrounding fence is equal to the perimeter of the garden. That is the sum of the lengths of the straight sides and the curved arc. The arc length is given by the formula ...
s = r·θ . . . . . where θ is the central angle in radians
__
<h3>arc length</h3>
There are π radians in 180°, so the arc will have a measure in radians of ...
θ = 132° × (π/180°) = 11/15π ≈ 2.3038 . . . . radians
Then the length of the curved side of the garden is ...
s = (50 ft)(2.3038 radian) ≈ 115.2 ft
__
<h3>perimeter</h3>
The fence length is the sum of the arc length and the two radii:
perimeter = 115.2 ft + 2×50 ft = 215.2 ft
About 215 feet of fencing are needed to enclose the garden.