Answer:
Step-by-step explanation:
The figure is made up of a square with side 4 cm and 3 semicircles of radius 2 cm.
A = area of square + area of 3 semicircles
A = (4 cm)^2 + 3 * (1/2) pi * (2 cm)^2
A = 16 cm^2 + (1/2) 12pi cm^2
A = (6pi + 16) cm^2
Answer:
B
Step-by-step explanation:
I just know it.
Answer:
5x - 2y - 23 = 0
Step-by-step explanation:
Line is passing through the points
Equation of line in two point form is given as:
![\frac{y -y_1 }{y_1 -y_2 } = \frac{x -x_1 }{x_1 -x_2 } \\ \\ \therefore \: \frac{y -( - 4) }{ - 4 -1} = \frac{x -3 }{3 -5 } \\ \\ \therefore \:\frac{y + 4 }{ - 5} = \frac{x -3 }{ - 2 } \\ \\ \therefore \: \frac{y + 4 }{ 5} = \frac{x -3 }{ 2 } \\ \\ \therefore \: 2(y + 4) = 5(x - 3) \\ \therefore \: 2y + 8 = 5x - 15 \\ \therefore \: 5x - 15 - 2y - 8 = 0 \\ \red{ \boxed{ \bold{\therefore \: 5x - 2y - 23 = 0}}} \\ is \: the \: required \: equation \: of \: line \: in \: \\ standard \: form.](https://tex.z-dn.net/?f=%20%5Cfrac%7By%20-y_1%20%7D%7By_1%20-y_2%20%7D%20%20%3D%20%20%5Cfrac%7Bx%20-x_1%20%7D%7Bx_1%20-x_2%20%7D%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7By%20-%28%20-%204%29%20%7D%7B%20-%204%20-1%7D%20%20%3D%20%20%5Cfrac%7Bx%20-3%20%7D%7B3%20-5%20%7D%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%5Cfrac%7By%20%20%2B%20%204%20%7D%7B%20-%205%7D%20%20%3D%20%20%5Cfrac%7Bx%20-3%20%7D%7B%20-%202%20%7D%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%5Cfrac%7By%20%20%2B%20%204%20%7D%7B%20%205%7D%20%20%3D%20%20%5Cfrac%7Bx%20-3%20%7D%7B%20%202%20%7D%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%202%28y%20%2B%204%29%20%3D%205%28x%20-%203%29%20%5C%5C%20%5Ctherefore%20%5C%3A%20%202y%20%2B%208%20%3D%205x%20-%2015%20%5C%5C%20%5Ctherefore%20%5C%3A%205x%20-%2015%20-%202y%20-%208%20%3D%200%20%5C%5C%20%20%5Cred%7B%20%5Cboxed%7B%20%5Cbold%7B%5Ctherefore%20%5C%3A%205x%20-%202y%20-%2023%20%3D%200%7D%7D%7D%20%5C%5C%20is%20%5C%3A%20the%20%5C%3A%20required%20%5C%3A%20equation%20%5C%3A%20of%20%5C%3A%20line%20%5C%3A%20in%20%5C%3A%20%20%5C%5C%20standard%20%5C%3A%20form.)
you can compare the length of sides of both the triangles...
Answer:
20
Step-by-step explanation:
The factors of 20 are 1, 2, 4, 5, 10, and 20. The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. You can see that they have some of the same factors, but the greatest they share is 20