What I see here is a triangle sitting on top of a rectangle, and the
base of the triangle is equal to the length of the rectangle.
To see this, just draw a line between 'F' and 'S'. We can find the
area of the triangle, hen find the area of the rectangle, and then
add the two areas to get the area of the whole polygon.
The triangle:
. . . The base of the triangle is 9 units long.
. . . The height of the triangle is 6 units (from point 'N' down to the line FS).
. . . The area of a triangle is
(1/2) · (base · height)
= (1/2) · (9units · 6units)
= (1/2) · (54 units²) = 27 units².
The rectangle:
. . . The length of the rectangle = 9 units. (line FS)
. . . The height of the rectangle = 2 units. (line WF or line CS)
. . . The area of a rectangle is
(length) · (height)
= (9units · 2units)
= 18 units²
The whole polygon:
The area of the whole polygon is
(area of the triangle) + (area of the rectangle)
= (27 units²) + (18 units²) = 45 units²
Use substitution
2x + 3(12 - 5x) = 11
Distributive property
2x + 36 - 15x = 11
Combine like terms
-13x + 36 = 11
Subtract 36
-13x = -25
x = 25/13
y = 12 - 5(25/13)
y = 31/13
Solution: x = 25/13, y = 31/13
It would be helpful to draw out a diagram but I'll explain in words.
We start at 0, ground level.
Then up a 100 metre hill, so now we are at 100m.
It plunges down 72, so we take away 72 to get 28m.
Then it takes them back up 48m, so we add 48 to get 76m.
That means that they are 76m above from where they started, ground level.
Hope I helped!
Answer:Pool B is being filled quicker
Step-by-step explanation: It is being filled quicker because 4 is a bigger number than 3 so there is your answer
Answer:
90°
Step-by-step explanation:
2x = 60° and x = 30 the sum of interior angles in a triangle is = 180°
60° + 30° + y = 180°
y = 90°
