<span><u>Answer
</u>
Left border = 8 feet
Lower border =32 feet
Area=128 〖ft〗^2
<u>Explanation </u>
The area is a right triangle.
Let us take the left border to be y feet and the lower border to be x feet
Area=1/2 yx
The cost of fencing would be 4y+x=64.
From this expression x=64-4y
Substituting this value of x in the area we have;
Area=1/2 y(64-4y)
A=32y-2y^2
To get the maximum area of the triangle the first derivative of the area would te equal to zero.
A=32y-2y^2
dA/dy=32-4y=0
4y=32
y=8
Since x=64-4y
x=64-(4×8)=32
The dimensions of the garden are 8 feet by 32 feet.
Since the garden is a right triangle,
Area=1/2×8×32
Area=128 〖ft〗^2
</span>
<span>It is important to know that the sum of the three angles inside a triangle add up to 180 degrees. So then we get the following by adding up all three provided angle measures:
3x + (2x + 20) + (4x - 20) = 180
Some algebraic manipulation follows:
3x + 2x + 20 + 4x - 20 = 180
9x = 180
x = 180/9 = 20
The value of x is 20 degrees.</span>
Answer:
Option A
Step-by-step explanation:
A does not have an x that has 2 or more outputs
Answer:
a) Approximate height of the statue: 144 feet
b) The approximate height is 1.7% greater that the actual height of the statue.
Explanation
1) Assume that the measures of the statue are proportional to the dimensions of the student. That means:
statue's height student's height
________________________ = ______________________
length of the statue's right arm length of student's right arm
⇒ x / 54 feet = (5 + 1/3) feet / 2 feet
⇒ x = 54 × (16/3) / 2 feet = (54×16) / (3×2) feet = 144 feet
Answer: 144 feet
2) Compare the approximate heigth obtained with the actual height:
144 feet - (143 feet + 9 inches) = 144 feet - (143 feet + 9/12 feet) = 1 feet - 9/12 feet
1 feet - 9/12 feet = 1 feet - 3/4 feet = 1/4 feet.
Hence, the approximate feet obtained is 1/4 feet larger than the actual height.
In relative terms that is : (1/4) / (143 + 3/4) = 0.0017 = 1.7%.
It means when you show proof of your answer.
