We can separate the shape into a rectangle and a square
the area of the rectangle :

the area of the square:

the area of the whole shape:

hope this helps
Answer:
{x,y,z} = {-18,4,2}
Step-by-step explanation:
Solve equation [2] for the variable x
x = -10y + 2z + 18
Plug this in for variable x in equation [1]
(-10y+2z+18) + 9y + z = 20
- y + 3z = 2
Plug this in for variable x in equation [3]
3•(-10y+2z+18) + 27y + 2z = 58
- 3y + 8z = 4
Solve equation [1] for the variable y
y = 3z - 2
Plug this in for variable y in equation [3]
- 3•(3z-2) + 8z = 4
- z = -2
Solve equation [3] for the variable z
z = 2
By now we know this much :
x = -10y+2z+18
y = 3z-2
z = 2
Use the z value to solve for y
y = 3(2)-2 = 4
Use the y and z values to solve for x
x = -10(4)+2(2)+18 = -18
Answer:
see explanation
Step-by-step explanation:
To find x use the sine ratio in the right triangle and the exact value
sin60° =
, then
sin60° =
=
=
( cross- multiply )
x
= 28
( divide both sides by
)
x = 28
-----------------------------------------------------------
To find y use the tangent ratio in the right triangle and the exact value
tan60° =
, then
tan60° =
=
=
( multiply both sides by y )
14
= y
( divide both sides by
)
y = 14