D. 75 cm
Step-by-step explanation:
fill in the y with 20.5, so you get 20.5=0.3x-2. Add the 2 to the 20.5 so you get 22.5=0.3x. Divide both by 0.3 to get 75=x.
sorry if it's a bd explanation, hope this helps :)
Step-by-step explanation:
Since, y varies inversely as x.
![\therefore \: y = \frac{k}{x} \\ (k = constant \: of \: proportionality) \\ \therefore \: xy = k...(1) \\ plug \: y = 194 \: \: and \: \: x = - 13 \: in \: (1) \\ \therefore \: - 13 \times 194= k \\ \therefore \: k = - 2522 \\ substituting \: k = - 2522 \: in \: (1) \\ xy = - 2522...(2) \\ this \: is \: equation \: of \: variation. \\ plug \: x = 50 \: in \: (2) \\ 50 \times y = - 2522 \\ \therefore \:y = \frac{ - 2522}{50} \\ \huge \red{ \boxed{\therefore \:y = - 50.44}}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20y%20%3D%20%20%5Cfrac%7Bk%7D%7Bx%7D%20%20%5C%5C%20%28k%20%3D%20constant%20%5C%3A%20of%20%5C%3A%20proportionality%29%20%5C%5C%20%20%20%5Ctherefore%20%5C%3A%20xy%20%3D%20%20k...%281%29%20%5C%5C%20plug%20%5C%3A%20y%20%3D%20194%20%5C%3A%20%20%5C%3A%20and%20%5C%3A%20%20%5C%3A%20x%20%3D%20%20-%2013%20%5C%3A%20in%20%5C%3A%20%281%29%20%5C%5C%20%5Ctherefore%20%5C%3A%20%20-%2013%20%5Ctimes%20194%3D%20%20k%20%5C%5C%20%5Ctherefore%20%5C%3A%20k%20%3D%20%20-%202522%20%5C%5C%20substituting%20%5C%3A%20k%20%3D%20%20-%202522%20%5C%3A%20in%20%5C%3A%20%281%29%20%5C%5C%20xy%20%3D%20%20-%202522...%282%29%20%5C%5C%20this%20%5C%3A%20is%20%5C%3A%20equation%20%5C%3A%20of%20%5C%3A%20variation.%20%5C%5C%20plug%20%5C%3A%20x%20%3D%2050%20%5C%3A%20in%20%5C%3A%20%282%29%20%5C%5C%2050%20%5Ctimes%20y%20%3D%20%20-%202522%20%5C%5C%20%20%5Ctherefore%20%5C%3Ay%20%3D%20%20%5Cfrac%7B%20-%202522%7D%7B50%7D%20%20%5C%5C%20%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3Ay%20%3D%20%20%20-%2050.44%7D%7D)
Answer:
187.5 feet
Step-by-step explanation:
we know that
Max's bike moves 25 feet after two rotations
so
using proportion
Find out how many feet will the bike move after 15 rotations
Let
x ----> the distance in feet
![\frac{25}{2}\frac{ft}{rev}=\frac{x}{15}\frac{ft}{rev}\\\\x=15(25)/2\\\\x=187.5\ ft](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B2%7D%5Cfrac%7Bft%7D%7Brev%7D%3D%5Cfrac%7Bx%7D%7B15%7D%5Cfrac%7Bft%7D%7Brev%7D%5C%5C%5C%5Cx%3D15%2825%29%2F2%5C%5C%5C%5Cx%3D187.5%5C%20ft)
Answer:
700.4 cm
Step-by-step explanation:
This involves two similar triangles.
Both triangles are right triangles.
One has legs measuring 1 cm and 30 cm. We can find the hypotenuse by using the Pythagorean theorem.
(1 cm)^2 + (30 cm)^2 = c^2
c^2 = 901 cm^2
c = sqrt(901) cm
The second triangle has one leg with length 700 cm. This leg corresponds to the 30-cm leg in the other triangle. Since the triangles are similar, we can use a proportion to find the hypotenuse of the second triangle.
(30 cm)/(700 cm) = [sqrt(901) cm]/x
3/70 = sqrt(901) cm/x
3x = 70 * sqrt(901) cm
x = 70 * sqrt(901) cm/3
x = 700.4 cm
Answer: 700.4 cm
Repairing windows when using a ladder and bushes are in the way....viewing the size if a television