Answer:
6 inches
Step-by-step explanation:
You can write this as a ratio of a length over width.
![\frac{12}{9}=\frac{8}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B9%7D%3D%5Cfrac%7B8%7D%7Bx%7D)
Cross Multiply:
12x=72
x=6
For this problem, you have to look at the two triangles as equal, proven by the side angle angle proof. So, that means the top corner of the triangle JKM is equivalent to LKM. Meaning that m< JKM is also 38 degrees
The exponential function that approximates the amount of money in her account using a weekly growth rate is:
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What is an exponential function?
An increasing exponential function is modeled by:
![A(t) = A(0)(1 + r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%20%2B%20r%29%5Et)
In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal
In this problem, the yearly function is:
![c(t) = 400(1.06)^t](https://tex.z-dn.net/?f=c%28t%29%20%3D%20400%281.06%29%5Et)
Considering that a year has 52 weeks, we have that:
0.06/52 = 0.001154
Hence:
![c_w(t) = 400(1.001154)^{\frac{t}{52}}](https://tex.z-dn.net/?f=c_w%28t%29%20%3D%20400%281.001154%29%5E%7B%5Cfrac%7Bt%7D%7B52%7D%7D)
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
Translate A, 5 to the right and then 5 downwards.
Translate B, 6 downwards and then 5 to the right.
If you move then in this way it will make it so that A is in the exact same spot as A' or overlapping showing that they are congruent. The same can be said with B and B'.
Answer:
he expression is undefined where the denominator equals
0
, the argument of an even indexed radical is less than
0
, or the argument of a logarithm is less than or equal to
0
.
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Step-by-step explanation: