Answer:

Step-by-step explanation:
Given the costs we can form an equation:

and fencing is triangular such that the area enclosed can be written as:

- First need to convert the above equation so that it is only in terms of one variable. [either x or y]
To make the equation only in terms of
we can substitute
from Eq(A) i.e,
, to Eq(B)

simplify


- Now, in order to find the maximum area enclosed we can find
and equate it zero.




we have the length of one dimension: specifically, the lower fence will be 
we can use this value of
to find the corresponding value of
. From Eq(A)




the length of the left fence will be 
- The enclosed area by the fence will be



Hence the maximum area that can enclosed by the fences provided the costs will be 
- You can even check the cost of the dimensions whether they all add up to $520 or not.
Use Eq(A)


and indeed it does!
Answer:
Each angle is 60°
Step-by-step explanation:
The 2 angles are equal to each other because they're alternate exterior angles:
10x - 20 = 7x + 4
10x - 7x = 4 + 20
3x = 24
x = 8
10x - 20
10(8) - 20
80 - 20
60
Since these angles are exterior angles, their angle measures are equal so they both are 60°
Answer:
4.45 m/s
Step-by-step explanation:
Vertical distance, Sy = 5m
The speed of pebble when they hit her window :
Vx = Sx / t
We can obtain t using the relation :
Sy = 1/2 * at²
Where, a = acceleration due to gravity = 9.8m/s²
We can obtain t
5 = 1/2 * 9.8 * t²
5 = 4.9t²
t = √5/4.9
t = 1.01 seconds
Hence,
Speed, Vx = Sx / t
Vx = 4.5 / 1.01
Vx = 4.45 m/s
Answer:
Step-by-step explanation:
The four sides of the quadrilateral touches the circle. This means that the opposite angles of the quadrilateral are supplementary.
It means that the sum of the angles is 180 degrees From the given diagram,
Angle B + angle R = 180
Angle B = 180 - 85
Angle B = 95 degrees
Angle D + angle I = 180
Angle D = 180 - 117
Angle D = 63 degrees