Answer:
70°
Step-by-step explanation:
A+B+C=180°
70°+40°+C=180°
C=180°-110°
C=70°
Answer:
Step-by-step explanation:
To get the new price of the car multiply the original price by the percent increase in decimal form +1. 11% in decimal form is 0.11 = 11/100. Add one to this and you get 1.11 = 1 + 0.11. So now multiply $49,800 * 1.11 = $55,278. If the problem had said they decreased the price by 11% you would use 1 - 0.11 = 0.89 because 89% is 11% less than 100%.
hope that helps my man
1 radian
because s= r × angle measurement in radian
we have s= arc , r = radian so we got the value
Answer:
3 hours and 45 minutes
Step-by-step explanation:
let's assume the tank has a volume of x liters.
let's assume the speed of filling it is x/6 liters per hour for A and x/10 liters per hour for B.
the formula to calculate the time is:
time = volume / speed
If the pumps work together, the total speed is x/6 + x/10, which is 16/60 x
So the time this takes is:
time = x / (16/60 x) = 60/16 hours = 3.75 hours = 3 hours and 45 minutes.
We have the equation:
We know two points and we will use them to calculate the parameters a and b.
The point (0,3) will let us know a, as b^0=1.
Now, we use the point (2, 108/25) to calcualte b:
![\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3D3%5Ccdot%20b%5Ex%20%5C%5C%20%5Cfrac%7B108%7D%7B25%7D%3D3%5Ccdot%20b%5E2%20%5C%5C%203%5Ccdot%20b%5E2%3D%5Cfrac%7B108%7D%7B25%7D%20%5C%5C%20b%5E2%3D%5Cfrac%7B108%7D%7B25%5Ccdot3%7D%3D%5Cfrac%7B108%7D%7B3%7D%5Ccdot%5Cfrac%7B1%7D%7B25%7D%3D%5Cfrac%7B36%7D%7B25%7D%20%5C%5C%20b%3D%5Csqrt%5B%5D%7B%5Cfrac%7B36%7D%7B25%7D%7D%20%5C%5C%20b%3D%5Cfrac%7B%5Csqrt%5B%5D%7B36%7D%7D%7B%5Csqrt%5B%5D%7B25%7D%7D%20%5C%5C%20b%3D%5Cfrac%7B6%7D%7B5%7D%20%5Cend%7Bgathered%7D)
Then, we can write the equation as:
