Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.
2(x+y) = 300
x+y = 150
y = 150-x
A=x(150-x) <--(substitution)
The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150
So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.
A=75(150-75)
A=75*75
A=5625
So the maximum area that can be enclosed is 5625 square feet.
Answer:
x = 34
Step-by-step explanation:
4x - 10 + x + 20 = 180
5x + 10 = 180
5x = 170
x = 34
Answer:
yes it is
Step-by-step explanation:
it is quadrilateral
Answer:
Associative Property
Step-by-step explanation:
- I would use the Associative Property because it states that you can add any numbers together no matter how they are separated or grouped (with parentheses).
- Knowing what we said in step 1, here are some other ways you can write the expression given (they are written in the steps below)
- 8 + 7 + 9
- (8 + 7) + 9
- (8 + 9) + 7
I hope this helps!
Answer:
Question 1:
cos a = 0.2195
tan a = 4.445
Question 2:
sin a = 0.8
tan a = 1.333
Step-by-step explanation:
<h3 /><h3>Question 1:</h3>
Given that;
sin a = 40/41
a = sin ⁻¹ (40/41)
a = 77.32°
Now we have to find the value of cos a and tan a:
a = 77.32°
cos 77.32° = 0.2195
tan 77.32° = 4.445
<h3>Question 2:</h3>
Given that;
cos a = 0.6
a = cos ⁻¹ (0.6)
a = 53.13°
Now we have to find the value of cos a and tan a:
a = 53.13°
sin 53.13° = 0.8
tan 53.13° = 1.333