Answersin -> 48
Step-by-step explanation:
solve for the length of the horizontal line by doing:
sin(55)=x/58
rearrange: x = sin(55) times 58 = 47.51
round UP to 48
Answer:
400 m^2.
Step-by-step explanation:
The largest area is obtained where the enclosure is a square.
I think that's the right answer because a square is a special form of a rectangle.
So the square would be 20 * 20 = 400 m^2.
Proof:
Let the sides of the rectangle be x and y m long
The area A = xy.
Also the perimeter 2x + 2y = 80
x + y = 40
y = 40 - x.
So substituting for y in A = xy:-
A = x(40 - x)
A = 40x - x^2
For maximum value of A we find the derivative and equate it to 0:
derivative A' = 40 - 2x = 0
2x = 40
x = 20.
So y = 40 - x
= 40 - 20
=20
x and y are the same value so x = y.
Therefore for maximum area the rectangle is a square.
Answer:
-8.95
Step-by-step explanation:
(-6) + (-4.25) = -10.25
-10.25 + 1.3 = -8.95
Answer:
The function p = 75h represents this situation.
Step-by-step explanation:
We know the equation of linear equation in the slope-intercept form is

where
m = rate of change = slope
b = y-intercept
- Let 'h' be the number of hours
Given that Lian is paid SR 75 per hour.
so the rate of change of slope = m = 75
As there is no initial condition, so b = 0
as
y = mx+b
Now, mapping the information data into the slope-intercept form
Thus, the equation becomes
p = 75h
Therefore, the function p = 75h represents this situation.
VERIFICATION:
Given the equation
p = 75h
for h = 1
p = 75(1)
p = 75
Thus, Liam is paid SR 75 per hour.