Answer:
The coordinates of H’ is (-1,-6)
Step-by-step explanation:
Here, we want go get clockwise rotation about the origin
mathematically, if we had this kind of rotation, it would be that
(x,y) will turn to (y,-x)
So we have it that (6,-1 becomes)
(-1,-6)
Answer: 50 degrees
Step-by-step explanation:
This is actually quite simple using the exterior angle theory
"The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle"
In this case the exterior angle is 120 degrees, basically what the theorem states is that it the angle that you see outside the triangle equals the angle measurements of the 2 angles opposite of it, so just create an equation because you know 2 of the variables
120=70+x
120-70=x
Angle x = 50 degrees
Answer:
E. Survey people at different times of the day to ensure she reaches people in different schedules.
The salary in 2012 was $65,000.
If the inflation rate is 4%, the salary should increase at least 4% per year to keep up with inflation.
Then, we can calculate the salary adjusted by inflation in 2021 as:
![S_{2021}=S_{2012}\cdot(1+i)^{2021-2012}=S_{2012}\cdot(1+i)^9](https://tex.z-dn.net/?f=S_%7B2021%7D%3DS_%7B2012%7D%5Ccdot%281%2Bi%29%5E%7B2021-2012%7D%3DS_%7B2012%7D%5Ccdot%281%2Bi%29%5E9)
Replacing with the data, we get:
![\begin{gathered} S_{2021}=S_{2012}\cdot(1+i)^9 \\ S_{2021}=65000\cdot(1+0.04)^9 \\ S_{2021}=65000\cdot1.04^9 \\ S_{2021}\approx65000\cdot1.4233118 \\ S_{2021}\approx92515.27 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20S_%7B2021%7D%3DS_%7B2012%7D%5Ccdot%281%2Bi%29%5E9%20%5C%5C%20S_%7B2021%7D%3D65000%5Ccdot%281%2B0.04%29%5E9%20%5C%5C%20S_%7B2021%7D%3D65000%5Ccdot1.04%5E9%20%5C%5C%20S_%7B2021%7D%5Capprox65000%5Ccdot1.4233118%20%5C%5C%20S_%7B2021%7D%5Capprox92515.27%20%5Cend%7Bgathered%7D)
Answer: the adjusted salary to keep up with inflation should be $92,515.27 in 2021.
<span>The amount that the collections worth increased by was $7.20. That tells you how much the additional dimes are worth that was added to the $9.45. So if there is $7.20 in dimes, there are 72 dimes that were added to the collection of dimes and nickles. The 72 dimes that were added was the doubling of the number of dimes that are apart of the collection. That means that if there was 72 dimes all together, there were 35 dimes in the initial collection, which are worth $3.50, , and 35 dimes were added later. If the total collection was worth $9.45, and $3.50 of that was in dines, then the difference of $5.95, which is the amount the nickles were worth. That means that there were 19 nickles that were apart of the initial collection.</span>