Answer:
It will be an equilateral triangle and the area is 1924.5 sq. meters.
Step-by-step explanation:
If the total length of the fencing of 200 meters is utilized then the perimeter of the triangle will be 200 meters.
Now, we know that the type of triangle that gives the maximum area for a given perimeter is an equilateral triangle.
So, the equilateral triangle with a perimeter of 200 meters will have side lengths of 
meters.
Now, the area of an equilateral triangle with sides a units is given by 
sq. units.
So, the area of the above equilateral triangle will be = 
sq. meters. (Answer)
Triangle LMN has two sides that are of the same size, therefore, triangle LMN is described as: isosceles triangle.
<h3>What is an Isosceles Triangle?</h3>
A triangle with two equal sides and two equal base angles is described as an isosceles triangle.
<h3>What is the Distance Formula?</h3>
The formula for finding the distance between two coordinate points is called the distance formula, and it is expressed as: 
.
Given the vertices of the angles of triangle LMN as:
- L(-2, 4),
- M(3, 2),
- N(1,-3)
Use the distance formula to find the length of each side of the triangle.
LM = √[(3−(−2))² + (2−4)²]
LM = √[(5)² + (−2)²]
LM = √29 units
MN = √[(3−1)² + (2−(−3))]²
MN = √29 units
LN = √[(−2−1)² + (4−(−3))²]
LN = √(−3)² + (7)²]
LN = √(9 + 49)
LN = √58 units
Isosceles triangles have two equal sides. Triangle LMN has two sides that are of the same size, therefore, triangle LMN is described as: isosceles triangle.
Learn more about isosceles triangle on:
brainly.com/question/11884412
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To simplify, you just condense all of the values with the same variable, based on the signs of those values.
In this example,
6y + 5z + 8y - 3z
is the same as
6y + 8y + 5z - 3z
which can be simplified to
14y + 2z
which is the answer to your question.
Hope that helped =)
She earns ($9.70x40) for a 40 hour week=$388
She earned $489.85-$388 extra= $101.85
She gets paid $9.7x1.5 for every extra hour=$14.55
She worked $101.85/$14.55 hours extra=7hours
She worked 7+40 hours that week=47 hours
9 4/9
1. convert 3 1/3 to have a denominator of 9
2. 3 1/3 x 3/3 = 3 3/9
3. 6 1/9 + 3 3/9 = 9 4/9
