Gemma was hiking for 2 1/2 a hour for 3 hours so u have to multiply 2.5 by 3 and that gonna equal 7.5 so u leave that alone and come back to it later so u get 11 3/8 minus 7.5 and it gonna equal 3 7/8 and I hope that helped you
Answer: 23.5
Step-by-step explanation: Divide 47.00 by 2 and you get 23.5
hope this helps
1 step. Let ABC be a triangle with vertices
![A(x_A,y_A),\ B(x_B,y_B),\ C(x_C,y_C).](https://tex.z-dn.net/?f=A%28x_A%2Cy_A%29%2C%5C%20B%28x_B%2Cy_B%29%2C%5C%20C%28x_C%2Cy_C%29.)
Define segments BD and CE as medians of triangle ABC.
2 step. Write linear equation for medians BD and CE:
- median BD passes through points B and the midpoint D of AC, then
The equation of BD is ![\dfrac{x-x_B}{\dfrac{x_A+x_C}{2}-x_B}=\dfrac{y-y_B}{\dfrac{y_A+y_C}{2}-y_B},\\ \\ \\y=\dfrac{\dfrac{y_A+y_C}{2}-y_B}{\dfrac{x_A+x_C}{2}-x_B}(x-x_B)+y_B,\\ \\ \\y=\dfrac{y_A+y_C-2y_B}{x_A+x_C-2x_B}(x-x_B)+y_B;](https://tex.z-dn.net/?f=%5Cdfrac%7Bx-x_B%7D%7B%5Cdfrac%7Bx_A%2Bx_C%7D%7B2%7D-x_B%7D%3D%5Cdfrac%7By-y_B%7D%7B%5Cdfrac%7By_A%2By_C%7D%7B2%7D-y_B%7D%2C%5C%5C%20%5C%5C%20%5C%5Cy%3D%5Cdfrac%7B%5Cdfrac%7By_A%2By_C%7D%7B2%7D-y_B%7D%7B%5Cdfrac%7Bx_A%2Bx_C%7D%7B2%7D-x_B%7D%28x-x_B%29%2By_B%2C%5C%5C%20%5C%5C%20%5C%5Cy%3D%5Cdfrac%7By_A%2By_C-2y_B%7D%7Bx_A%2Bx_C-2x_B%7D%28x-x_B%29%2By_B%3B)
- median CE passes through the points C and the midpoint E of AB, then
The equation of CE is ![\dfrac{x-x_C}{\dfrac{x_A+x_B}{2}-x_C}=\dfrac{y-y_C}{\dfrac{y_A+y_B}{2}-y_C},\\ \\ \\y=\dfrac{\dfrac{y_A+y_B}{2}-y_C}{\dfrac{x_A+x_B}{2}-x_C}(x-x_C)+y_C,\\ \\ \\y=\dfrac{y_A+y_B-2y_C}{x_A+x_B-2x_C}(x-x_C)+y_C.](https://tex.z-dn.net/?f=%5Cdfrac%7Bx-x_C%7D%7B%5Cdfrac%7Bx_A%2Bx_B%7D%7B2%7D-x_C%7D%3D%5Cdfrac%7By-y_C%7D%7B%5Cdfrac%7By_A%2By_B%7D%7B2%7D-y_C%7D%2C%5C%5C%20%5C%5C%20%5C%5Cy%3D%5Cdfrac%7B%5Cdfrac%7By_A%2By_B%7D%7B2%7D-y_C%7D%7B%5Cdfrac%7Bx_A%2Bx_B%7D%7B2%7D-x_C%7D%28x-x_C%29%2By_C%2C%5C%5C%20%5C%5C%20%5C%5Cy%3D%5Cdfrac%7By_A%2By_B-2y_C%7D%7Bx_A%2Bx_B-2x_C%7D%28x-x_C%29%2By_C.)
3 step. Solve the system of equations:
![\left\{\begin{array}{l} y=\dfrac{y_A+y_C-2y_B}{x_A+x_C-2x_B}(x-x_B)+y_B\\ \\y=\dfrac{y_A+y_B-2y_C}{x_A+x_B-2x_C}(x-x_C)+y_C \end{array}\right.\Rightarrow \left\{\begin{array}{l}x=\dfrac{x_A+x_B+x_C}{3}\\ \\y=\dfrac{y_A+y_B+y_C}{3}\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7D%20y%3D%5Cdfrac%7By_A%2By_C-2y_B%7D%7Bx_A%2Bx_C-2x_B%7D%28x-x_B%29%2By_B%5C%5C%20%5C%5Cy%3D%5Cdfrac%7By_A%2By_B-2y_C%7D%7Bx_A%2Bx_B-2x_C%7D%28x-x_C%29%2By_C%20%5Cend%7Barray%7D%5Cright.%5CRightarrow%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%3D%5Cdfrac%7Bx_A%2Bx_B%2Bx_C%7D%7B3%7D%5C%5C%20%5C%5Cy%3D%5Cdfrac%7By_A%2By_B%2By_C%7D%7B3%7D%5Cend%7Barray%7D%5Cright.)
4 step. Write an equation for AO, where O is the point of intersection BD and CE.![\dfrac{x-x_A}{\dfrac{x_A+x_B+x_C}{3}-x_A}=\dfrac{y-y_A}{\dfrac{y_A+y_B+y_C}{3}-y_A}.](https://tex.z-dn.net/?f=%5Cdfrac%7Bx-x_A%7D%7B%5Cdfrac%7Bx_A%2Bx_B%2Bx_C%7D%7B3%7D-x_A%7D%3D%5Cdfrac%7By-y_A%7D%7B%5Cdfrac%7By_A%2By_B%2By_C%7D%7B3%7D-y_A%7D.)
5 step. Write an expression for the midpoint of BC, point F:
![F\left(\dfrac{x_B+x_C}{2},\dfrac{y_B+y_C}{2}\right).](https://tex.z-dn.net/?f=F%5Cleft%28%5Cdfrac%7Bx_B%2Bx_C%7D%7B2%7D%2C%5Cdfrac%7By_B%2By_C%7D%7B2%7D%5Cright%29.)
6 step. Check that coordinates of point F satisfy the equation of AO (then f lies on AO and AO is the third median, that means that all three medians intersect in one point).
![\dfrac{\dfrac{x_B+x_C}{2}-x_A}{\dfrac{x_A+x_B+x_C}{3}-x_A}=\dfrac{\dfrac{y_B+y_C}{2}-y_A}{\dfrac{y_A+y_B+y_C}{3}-y_A}.](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7Bx_B%2Bx_C%7D%7B2%7D-x_A%7D%7B%5Cdfrac%7Bx_A%2Bx_B%2Bx_C%7D%7B3%7D-x_A%7D%3D%5Cdfrac%7B%5Cdfrac%7By_B%2By_C%7D%7B2%7D-y_A%7D%7B%5Cdfrac%7By_A%2By_B%2By_C%7D%7B3%7D-y_A%7D.)
Simplify it and get 1=1. This means that point F lies on AO.
Using Pythagoras' Theorem
![c {}^{2} = 9^{2} + {40}^{2}](https://tex.z-dn.net/?f=c%20%7B%7D%5E%7B2%7D%20%20%3D%209%5E%7B2%7D%20%20%2B%20%20%7B40%7D%5E%7B2%7D%20)
![c = \sqrt{81 + 1600 }](https://tex.z-dn.net/?f=c%20%3D%20%20%5Csqrt%7B81%20%2B%201600%20%7D%20)
![c = 41](https://tex.z-dn.net/?f=c%20%3D%2041)
So, the answer is 41 cm.
C refers to the hypotenuse
Answer:
1 portrait is painted every 4 hours
Step-by-step explanation:
Okay so there aren't any statements but I realized that he paints 1 portrait every 4 hours
If this isn't an option comment them and I will try to see if any match up correctly.