A farmer wants to fence in a rectangular field of livestock. The boundary for one side of the field is a long, straight river. No fencing is needed on this side. For the remaining three sides, he has 400 meters of fencing available. What are the dimensions of the largest rectangular area that can be formed
Answers
Answer:
To get maximum area, the dimensions will be;
l = 200 and b = 100
Step-by-step explanation:
Given the data in the question;
No fencing is needed on this side as the farmer wants to fence 3 sides of a rectangular field with 400 m fencing.
now, let the two vertical length sides be x meter and the horizontal length be 400 - 2x
as shown in the image below;
so,
Area of rectangle = (400 - 2x) × x = 400x - 2x²
now, to maximize area 'A', we will make A' = 0
⇒ 400 - 2(2x) = 0
400 = 4x
x = 400/4 = 100
so
⇒ (400 - 2x) = 400 - 2(100) = 400 - 200 = 200
∴ Maximum area = ( 400 - 2x) × x
= 200 × 100
= 20000 m²
∴ To get maximum area, the dimensions will be;
l = 200 and b = 100
Related Questions
CCBC is planning to purchase a total of 500 blue and gold balloons to decorate for
graduation. They want three times as many blue balloons as gold balloons. How
many of each should they buy?
Answers
Explanation is in the file
tinyurl.com/wpazsebu
Please answer as soon as possible
Will give brainly
Which set of numbers shows the lower extreme, the lower quartile, the median, the upper quartile, and the upper
extreme for the box-and-whisker plot shown?
(14, 13, 28, 45, 54)
(6,12, 28, 44, 54)
(12, 20, 28, 44, 54)
(6,19,27, 44,54)
Will give brainly
Please help me
Answers
B(6,12,28,44,54)
What is the solution to the equation below?
0.5x + 20 = 0.6x
A. x = -200
B. x=2
C.x = 20
D.x = 200
Answers
Answer:
it's D 200 for sure my answer I correct
Find the linear equation that is the straight line through (1, 2) and (8, 30).
Answers
= 30-2/8-1
= 28/7
= 4
Equation:
y - 2/x - 1 = 4
y - 2 = 4(x-1)
y - 2 = 4x - 4
y = 4x - 4 + 2
y = 4x - 2
Answer:
y = 4x - 2
Step-by-step explanation:
→ First find the gradient
[tex]\frac{x2-x1}{y2-y1} =\frac{30-2}{8-1} = 4[/tex]
→ Put into y = mx + c format
y = 4x + c
→ Substitute ( 1 , 2 ) into y = 4x + c
2 = 4 + c so c = -2
→ Rewrite into equation format
y = 4x - 2
Jessica goes out to eat at a restaurant. The meal costs $18.40, and Jessica wants to leave a tip that is StartFraction 3 over 20 EndFraction of the cost of the meal. How much should Jessica leave for the tip?
Answers
Answer:
$20.00
Step-by-step explanation:
Answer:
20.00 trust me
Step-by-step explanation:
what is the approximate simple interest earned on $2460 if it is invested at 5.25% for 3 1/2 years
A. $452
B. $387
C. $369
D. $129
Answers
Answer:
i think its c im not sure
Step-by-step explanation:
i’m think the answer would be A. $452
What is the correct order of operations? *
PEMDAS
O MDPASE
ASPEMD
PASEMD
HELPPPPPPP
Answers
Answer:
PAMDAS
Step-by-step explanation:
PEMDAS
hope it helps !
Conrad paid $52.26 for a pair of shoes. Michelle paid $3.89 more for a pair of shoes than Conrad paid for his.
Answers
Answer:
$60.30
Step-by-step explanation:
Answer:
The answer is $52.26 this is a trick question if you were finding how much Michael pay it will be $56.15
brainliest?
The diagram shows a parallelogram ABCD and an equilateral triangle BDE.
CDE is a straight line.
(a) Work out angle BDE
Give a reason for your answer.
(b) Work out angle CDB
Give a reason for your answer.
Answers
Answer:
a) ∠BDE is 60° because ΔBDE is an equilateral triangle with all three angles = 60°.
b) ∠CDB = 120° because 180° - 60° = 120°
Step-by-step explanation:
PLEASE PLEASE HELP!!
Answers
Answer:
m <1 = 64
m<2= 26
Step-by-step explanation:
the angle is 90 degree
therefore, <1 + <2 = 90
(x+51) + (2x) = 90
3x +51 = 90
3x = 39
x = 13
A farmer sells 8.3 kilograms of apples and pears at the farmer's market. 1/4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answers
Answer:
6.23 kg of pears (check for rounding)
Step-by-step explanation:
8.3 / 4 = 2.08 kg of apples as it is 1/4 of 8.3
8.3 - 2.08 = 6.22 kg of pears
Check all that apply?
Answers
Answer:
B AND D
Step-by-step explanation:
A rectangular garden has an area of 63ft2. The length of the garden is 2 feet more than the width. Find the length and the width of the garden.
Answers
Answers:
L = 64
W= 62
Explanation:
I need help with this problem asap :(
Answers
Answer:
m<P=130°
m<Q=130°
m<R=50°
Step-by-step explanation:
m<P=130
m<Q=130
m<R=50
PLS HELP I WILL GIVE BRAINLYEST
Answers
Answer:
hey
Step-by-step explanation:
pls help me then i help u
during a particular period a university's information technology office received 20 service orders for problems with printers, of which 8 were laser printers and the rest are inkjet printers a sample of 5 of these service orders is to be selected for inclusion in a customer satisfaction survey what is the probability that 3 were laser printers
Answers
Answer:
0.2384 = 23.84% probability that 3 were laser printers.
Step-by-step explanation:
The printers will be chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
20 orders means that [tex]N = 8[/tex]
8 were laser printers, which means that [tex]k = 8[/tex]
Sample of 5 means that [tex]n = 5[/tex]
What is the probability that 3 were laser printers?
This is P(X = 3).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,20,5,8) = \frac{C_{8,3}*C_{12,2}}{C_{20,5}} = 0.2384[/tex]
0.2384 = 23.84% probability that 3 were laser printers.
Complete the work shown to answer the question.
p2 – 14p – 72 = 0
p2 – 14p = 72
p2 – 14p + 49 = 72 + 49
Which describes the solutions of the equation?
Since 7 and 11 are both rational, the sum and difference are rational.
Since 14 and 11 are both rational, the sum and difference are rational.
Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.
Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.
i got the answer its a
Answers
Answer:
Since 7 and 11 are both rational, the sum and difference are rational.
Step-by-step explanation: It's A
Answer:
Since 7 and 11 are both rational, the sum and difference are rational.Step-by-step explanation: A
Which statement is not true about the pattern shown?
2/3 4/6 8/12 16/24
A-Each fraction is greater than the previous fraction.
B-Each fraction is equal to the previous fraction in the pattern multiplied by
C-Each fraction is equivalent to 2/3
D-The next fraction in the pattern is 32/48
Answers
Answer:
The answer is A-Each fraction is greater than the previous fraction.
Step-by-step explanation:
To prove that A is wrong, first simply all fractions.
2/3 is already simplified.
4/6 can reduce to 2/3, which already proves that A is wrong.
So, because 2/3 and 4/6 are equal fractions, and A says that each fraction is greater than the previous one, A is wrong.
help please!!!
given that a^b=x, what is a^b+2?
thanks!! <33
Answers
Answer:
xa^2
Step-by-step explanation:
I thought about it for a bit and came up with this:
if you expand a^(b+2) it becomes a^b * a^2
so replace a^b with x.
xa^2
5 1/3 + (2 2/3 + 1 1/3)
Answers
the measures of the angles of a triangle are shown in the figure below. solve for x
Answers
Answer:
the the figure shown x=7
Answer:
7°
Step-by-step explanation:
7x + 5 °+ 36° + 90 °= 180° ( being sum of angles of triangle )
7x + 131° = 180°
7x = 180 °- 131 °
7x = 49°
x = 49° / 7
x = 7°
{(-3,2),(0,4),(2,0)}*{(-2,2),(1,2),(2,-5),(5,0)}
Answers
Answer:
Not sure what your asking but theirs a repeating domain so THIS IS NOT A FUNCTION
lol please help !!!!!!!
Answers
Do it like you normally would! Don’t let the question confuse you
Find the unit rate.. If a family travels in their mini-van for 465 miles and uses 15 gallons of gas what is the mileage per gallon?
10 points
Answers
x miles 1 gallon
x=465•1/15
x=465/15
x=31
Rate is 31 mirage per gallon
Find the value of x 116 degrees and 33 degrees
Answers
Answer:
x = 31 degrees
Step-by-step explanation:
This is a triangle because there are 3 angles so they all add up to 180 degrees.
116 + 33 + x + 180 Add 116 and 33
149 + x = 180 subtract both sides by 149
x = 31
How could you correctly rewrite the equation 4(5 + 3) = 2(22 - 6) using the distributive property?
Answers
Answer:
We can correctly rewrite the equation: 4(5+3) = 2(22-6) by distributing each side.
4(5+3) = 2(22-6)
4(8) = 2(16)
32 = 32
Once you finish distributing each side, you can check to see if it is equal on both sides.
Step-by-step explanation:
Step-by-step explanation:
4(5 + 3) = 2(22 - 6)
4(8) = 2(16)
32 = 32
what is another way to show 2 x 4/6
Answers
Answer:
[tex]2 \frac{4}{6} [/tex]
I think this is it?? very sorry if it's incorrect
Answer:
4/3 or 1 1/3
Step-by-step explanation:
2 * 4/6
= 8/6 (You multiply 2 by the numerator, 4)
= 4/3 (Cancel out the common factor in the numerator and denominator, 2)
Mixed number form: 1 1/3
First one to answer this gets BRAINLIEST no cap. (Look at the pic)
Answers
Answer:
36.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The formula to solve this is a+b)/2*h
4+5=9
9/2=4.5
4.5*8= 36
Which equation is true for the value x = 15?
Answers
Answer:
2x-15=15
where x=15
2(15)-15=15
30-15=15
Answer:
2x-15=15
where x=15
2(15)-15=15
30-15=15
How much money will the movie theater make if a birthday party of 12 kids each buys a box of candy and a soda but does not go see a movie?
candy $3.75
soda is $4.00
Answers
Answer:
$93
Step-by-step explanation:
12(3.75+4.00)
= 93