Answer:
- ![\sqrt{13.7} = 3.70135110](https://tex.z-dn.net/?f=%5Csqrt%7B13.7%7D%20%20%3D%203.70135110)
- ![3.05^{2} = 9.3025](https://tex.z-dn.net/?f=3.05%5E%7B2%7D%20%3D%209.3025)
- 2.6
- Add 9.3025 and 2.6 = 11.9025
- Divide 3.70135110 by 11.9025
= 0.31097257
Answer:
B = multiply both sides by 2y+1
Step-by-step explanation:
Answer:
<u>Option B. Side YZ is the same length as side Y'X'.</u>
Step-by-step explanation:
At first the image is for the given question
The true graph is the attached figure.
As shown at the attached figure.
XYZ is reflected across the y-axis and then translated down 6 units to form X'Y'Z'.
So, X' is the image of point X
Y' is the image of point Y
Z' is the image of point Z
And ΔXYZ ≅ ΔX'YΔ'Z'
And the corresponding length are congruent.
We will check the options:
A. X has the same measure as X'. ⇒ True
B. Side YZ is the same length as side Y'X'. ⇒ Wrong
Because YZ will be translated to Y'Z'
C. Z has the same measure as Z'. ⇒ True
D. Side XZ is the same length as side X'Z'. ⇒ True
<u>So, The answer is option B. Side YZ is the same length as side Y'X'.</u>
Answer:
t > 212
Step-by-step explanation:
we're looking for temps over water's boiling point.
since water's boiling point is 212 degrees farenheit, we're looking for <em>temps greater than 212</em>.
write those exact words out into an expression, and you get:
temps > 212
or "t" > 212.
The complete question implies that we define an inequality that represents the relationship between the number of hours worked in a week and the weekly sales
The inequality that relates the number of hours to the weekly sales is:
![450 + 0.20x \ge 35y](https://tex.z-dn.net/?f=450%20%2B%200.20x%20%5Cge%2035y)
We make use of the following representation:
weekly sales from cars.
hours worked in a week
His weekly salary is then calculated as:
Salary (S) = Earnings per week + Commission * Sales from car
So, we have:
![S = 450 + 20\% * x](https://tex.z-dn.net/?f=S%20%3D%20450%20%2B%2020%5C%25%20%2A%20x)
Express percentage as decimal
![S = 450 + 0.20* x](https://tex.z-dn.net/?f=S%20%3D%20450%20%2B%200.20%2A%20x)
![S = 450 + 0.20x](https://tex.z-dn.net/?f=S%20%3D%20450%20%2B%200.20x)
Assume he works for y hours in a week.
His hourly rate is:
--- i.e. weekly salary divided by number of hours
![Hourly = \frac{450 + 0.20x}{y}](https://tex.z-dn.net/?f=Hourly%20%3D%20%5Cfrac%7B450%20%2B%200.20x%7D%7By%7D)
For this rate to be at least
, the following condition must be true
--- i.e. is hourly rate must be greater than or equal 35
So, we have:
![\frac{450 + 0.20x}{y} \ge 35](https://tex.z-dn.net/?f=%5Cfrac%7B450%20%2B%200.20x%7D%7By%7D%20%5Cge%2035)
Multiply both sides by y
![450 + 0.20x \ge 35y](https://tex.z-dn.net/?f=450%20%2B%200.20x%20%5Cge%2035y)