Hi there! :)

Recall that the sum of all angles in a triangle = 180°.
Therefore:
34° + 24° + x° = 180°
Combine like terms and subtract:
58° + x° = 180°
x = 180° - 58°
x = 122°
Let length = l
width = w
length = 3 times width = 3w
Area of the land = 75 sq. m
Area = length × width = 3w×w = 75
3w²=75
w²=25
w=5 m
length = 3×15 = 15m
Now lets make the figure with the path of width x meters
(Refer the attached figure for easy understanding)
The inner length is the length of the rectangle reduced by x meters on either side due to the path
that is 15-x-x = 15-2x
the inner width is the width reduced by x meters in either side
= 5-x-x = 5-2x
Now lets calculate the inner area = inner length × inner width
(15-2x)×(5-2x)
= 
=
sq. m
Now the function to calculate the cost
f(x) is given by $3.00 × area of the inner land
f(x) = 3 × {75-40x+4x²)
= 225-120x+12x²
or
= 12x²-120x+225
Answer:
16 units^2
Step-by-step explanation:
(2,8) _____ (6,8)
| |
(2,4) |_____|(6,4)
length of each side = 4 units
Area = 4units*4units=16 units^2
Basically estimating is rounding, im going to futher explain this with an example.
For example:
If I wanted to round a number by it's nearest tenth such as 678
(*example)
there are 70 tenths
now when you are estimating when you are rounding to the nearest number if the number has a higher value then 5 you increase the number if it is lower than 5 you STAY the same.
now
678,
since the number next to it is 8, 7 increases and everything else turns into zero. so 678 rounded to the nearest 10th
is 680!
Hope this example helped!
Answer:
Subtract
2
from
−
12
.
−
14
Step-by-step explanation: