The area of the rectangle is simply width times length.
Hence, A = w*l = (6/5)*12 = 72/5 = 14.4 square inches (ANSWER)
Answer:
1. $5
2. $38.4
Step-by-step explanation:
1) $5
2) 120/100 x 32 = $38.4
For 12:
Since the line y = mx + c is a tangent, then the distance from the centre of the circle to the line is equal to the radius.
Using perpendicular distance:
![d = r = \frac{| -m \cdot a + 1 \cdot b - c |}{\sqrt{(-m)^{2} + 1}}](https://tex.z-dn.net/?f=d%20%3D%20r%20%3D%20%5Cfrac%7B%7C%20-m%20%5Ccdot%20a%20%2B%201%20%5Ccdot%20b%20-%20c%20%7C%7D%7B%5Csqrt%7B%28-m%29%5E%7B2%7D%20%2B%201%7D%7D)
![r = \frac{|b + am - c|}{\sqrt{m^{2} + 1}}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B%7Cb%20%2B%20am%20-%20c%7C%7D%7B%5Csqrt%7Bm%5E%7B2%7D%20%2B%201%7D%7D)
Squaring both sides, we get:
![r^{2} = \frac{(b - c + ma)^{2}}{m^{2} + 1}](https://tex.z-dn.net/?f=r%5E%7B2%7D%20%3D%20%5Cfrac%7B%28b%20-%20c%20%2B%20ma%29%5E%7B2%7D%7D%7Bm%5E%7B2%7D%20%2B%201%7D)
![(1 + m^{2})r^{2} = (b - c + ma)^{2}](https://tex.z-dn.net/?f=%281%20%2B%20m%5E%7B2%7D%29r%5E%7B2%7D%20%3D%20%28b%20-%20c%20%2B%20ma%29%5E%7B2%7D)
, as required.
Answer:
(3,2)
Step-by-step explanation:
X coordinate first, then y. (Have to crawl before you walk, x is down and y is up, so thats a good reminder.) And the garbage can is on that cooridinate so uh, yah. Hope this helps, have a nice day.