<span>This polygon is composed of a right triangle and <span>a parallelogram.
The area of right angle :
![A_\Delta=\frac{1}{2}\cdot15\cdot8=\frac{1}{2}\cdot120=\boxed{60\ (cm^2)}](https://tex.z-dn.net/?f=A_%5CDelta%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot15%5Ccdot8%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot120%3D%5Cboxed%7B60%5C%20%28cm%5E2%29%7D)
The area of the </span></span><span>parallelogram</span>:
![A_P=15\cdot(13-8)=15\cdot5=\boxed{75\ (cm^2)}](https://tex.z-dn.net/?f=A_P%3D15%5Ccdot%2813-8%29%3D15%5Ccdot5%3D%5Cboxed%7B75%5C%20%28cm%5E2%29%7D)
The area of the polygon is equal:
![A=A_\Delta+A_P](https://tex.z-dn.net/?f=A%3DA_%5CDelta%2BA_P)
Therefore, the answer is:
Answer: ![y=\frac{1}{30}x+1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B30%7Dx%2B1)
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where "m" is the slope and "b" is the y-intercept.
You need to find slope of the line with the formula:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Pick to points of the given line. You can choose the point (60,3) and the point (30,2).
Then, substituting into the formula:
![m=\frac{2-3}{30-60}=\frac{1}{30}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2-3%7D%7B30-60%7D%3D%5Cfrac%7B1%7D%7B30%7D)
You can observe in the graph that the line intercepts the y-axis at the point (0,1), therefore "b" is:
![b=1](https://tex.z-dn.net/?f=b%3D1)
Substituting the slope and the y-intercept found into
, you get the equation of this line:
![y=\frac{1}{30}x+1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B30%7Dx%2B1)
Where "y" represents the Height (1,000 ft) and "x" represents the Time in seconds.
Answer:
C = 15 + 20*p
Step-by-step explanation:
Cost for ordering = shipping and handling plus cost per part * number of parts
C = 15 + 20*p
Answer:
163
Step-by-step explanation:
In a basket, 5/9 of the fruits are apples and the rest are oranges. 3/10 of the apples are green in colour. There are 15 green apples. How many fruits are there in the basket?