Here it is given that the width is x ft and total length of the fence is 2400 ft .
Let the length be y ft
So we have
Let A represents area, and area is the product of length and width .
So we get
Substituting the value of y, we will get
Second part
The area is maximum at the vertex, and vertex is
And
And that's the required dimensions .
Answer:
Step-by-step explanation:
Answer:
Q1:14 Q2:8903.5
Step-by-step explanation:
I find that using equations to solve problems makes it a lot easier.
The first company's equation would be y=5743+225.75x because 5743 is the set fee and 225.75 is for each ton of sugar. The second company would be y=7500+100.25x for the same reasons.
So we need to find a value of x that works for each company and a value of y that is the same for the cost.
Now we combine them.
Solve for x:
5743+225.75x=7500+100.25x
-5743 -5743
225.75x= 1757+100.25x
-100.25x -100.25x
125.50x=1757
/125.5 /125.5
x=14
Therefore, for Q1, the answer is 14.
Now we solve for y by substituting x for 14.
5743+225.75(14)
5743+3160.5
8903.5
We can also check this with the other equation
7500+100.25(14)
7500+1403.5
8903.5
So therefore, the answer to Q2 would be 8903.5.
Answer:
66.75 is the answer
Step-by-step explanation:
Just plug in the x and solve
4(2 , 5/8) + 9[2(2 , 5/8) + 1]
solve
4 × 2 , 5/8 + 9[2×2 , 5/8 + 1]
10.5 +9[2×2 , 5/8 + 1]
10.5 +9[5.25 + 1]
10.5 +9[6.25]
10.5 + 56.25
66.75
Hope this helps
The measure of m<JMO is 20 degrees
The triangle JOK is a 60 degrees equilateral triangle. Hence the measure of m<O at the center is 60 degrees.
<h3>Angle at a point</h3>
- The sum of the angle at a point is 360 degrees.
Since the base angles of triangle KOL and OLM are equal hence;
- m<KOL + m<MOL + m<JOM + m<JOK = 360 (angle at a point)
Substitute the base angles and the equilateral angles to get angle JOM
80 + 80 + m<JOM + 60 = 360
m<JOM = 360 - 360 - 220
m<JOM = 140 degrees
<h3>Sum of angles in a triangle</h3>
Since the sum of angle in the triangle JOM is 180 degrees, hence;
2m<JMO + m<JOM = 180
2m<JMO = 180 - 140
2m<JMO = 40
m<JMO = 20 degrees
Hence the measure of m<JMO is 20 degrees
Learn more on angles here: brainly.com/question/25770607
