Answer:The slope of A"D" is 3
The slope of B"C" is 3
What can you determine about the line segments A"D" and B"C"?
They are parallel.
A farmer with 5000 feet of fencing wants to enclose a rectangular field and then divide it into two plots by adding a fence in the middle parallel to one of the sides. Using the function A(x) , analytically find the WIDTH of the field that would maximize its area. (Round your answer to the nearest whole number)
Answer:
The required width of the field that would maximize the area is = 1250 feet
Step-by-step explanation:
Given that:
The total fencing length = 5000 ft
Let consider w to be the width and L to be the length.
Then; the perimeter of the rectangular field by assuming a parallel direction is:
P = 3L + 2w
⇒ 3L + 2w = 5000
3L = 5000 - 2w
[tex]L = \dfrac{5000}{3} - \dfrac{2w}{3}[/tex]
Recall that:
The area of the rectangle = L×w
[tex]A(w) = ( \dfrac{5000}{3}-\dfrac{2}{3} ) w[/tex]
[tex]A(w) = \dfrac{5000}{3}w-\dfrac{2}{3} w^2[/tex]
Taking the differentiation of both sides with respect to t; we have:
[tex]A' (w) = \dfrac{5000}{3} - \dfrac{2}{3} ( 2 w)[/tex]
[tex]A' (w) = \dfrac{5000}{3} - \dfrac{4w}{3}[/tex]
Then; we set A'(w) to be equal to zero;
So; [tex]\dfrac{5000}{3} - \dfrac{4w}{3}=0[/tex]
5000 = 4w
w = 5000/4
w = 1250
Thus; the required width of the field that would maximize the area is = 1250 feet
Also, the length [tex]L = \dfrac{5000}{3} - \dfrac{2w}{3}[/tex] can now be :
[tex]L = \dfrac{5000}{3} - \dfrac{2(1250)}{3}[/tex]
L = (5000 -2500)/3
L = 2500/3 feet
Suppose, the farmer divides the plot parallel to the width; Then 2500/3 feet = 833.33 feet and the length L = 1250 feet.
What type of equation is -1/2y=1/2x+5
Answer:
Linear Equation: A linear equation is an algebraic equation. · 2. Polynomial Equation: · 3. Quadratic Equation: · 4. Trigonometric equation: · 5. Radical Equation:
Step-by-step explanation:
jacket costs $40 at the store. Max pays only 0.7 of the price
because his father works at the store. Evan has a coupon for $10 off.
Explain who will pay less for the jacket.
g Company
Answer:
Max pays less because 70 percent of 40 is 28 meaning max only pays 28 bucks, meanwhile Evan pays 30 because 40 minus 10 is 30. Max pays 28 and Evan pays 30.
Step-by-step explanation:
A rectangular garden has an area of 71.44 m2. If the width of the garden is 7.6 m, what is the length in meters?
Please help I am stuck on the problem!!!!!!!!!!!!!!
you have $6.17. you buy 7 items that cost $0.76 each. how much money do you have left
Answer:
$0.85
Step-by-step explanation:
if you multiply 7x0.76=5.32
and then subtract the 6.17-5.32=$.85
Answer:
.85
Step-by-step explanation:
Multiply .76x7 then subtract 5.32 from 6.17 and you get 0.85.
Cho flipped a coin 20 times. The coin landed on tails 8 times. What is the ratio of the number of times the coin landed on heads to the number of flips?
Answer:
The answer is
A ) 12 to 20
Step-by-step explanation:
Cho flipped heads 12 times. She flipped the coin a total of 20 times, making the ratio 12 to 20.
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a fantastic day! :)
Subtract and Simplify your answer 12/24 - 1/6
Answer:
The answer would negative 4
Work out:
3ab - 9ab + 7ab
Please answer ASAP.
There are 48 students in a school band. The ratio of girls to boys is 5:7. How many girls are in the band? How many boys are in the band?
Answer:
The number of boys is 20 and the number of girls is 28
Step-by-step explanation:
5+7= 12 that means 5/12 students are boys, while 7/12 students are girls
Boys: (5/12)48= 20
Girls: (7/12)48= 28
A turkey cost $1.05 per pound. There are going to be fifteen people at Thanksgiving dinner. Plan for each person to eat two, 3/8-pound servings if turkey. How much will the turkey for Thanksgiving dinner cost?
Answer:
5.90625
Step-by-step explanation:
15*3/8=5 5/8
5 5/8=5.625
1.05*5.625=5.90625
The cost of the turkey for Thanksgiving dinner is $ 11.8125
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of 1 pound of turkey = $ 1.05
Total number of people at the Thanksgiving dinner = 15 people
The number of servings for each person = 2 servings
The amount of turkey servings for each person = 2 x 3/8 pound servings
= 3/4 pound servings
Now , the equation will be
So , the total cost of 3/4 pound servings of turkey =
3/4 x cost of 1 pound of turkey
The total cost of 3/4 pound servings of turkey = 3/4 x 1.05
= $ 0.7875
Now , the cost for 15 people at the Thanksgiving dinner =
15 x total cost of 3/4 pound servings of turkey
The cost for 15 people at the Thanksgiving dinner = 15 x 0.7875
= $ 11.8125
Hence , The cost of the turkey for Thanksgiving dinner is $ 11.8125
To learn more about equations click :
https://brainly.com/question/10413253
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What is the Slope of these two points (6,2) and (9,5)
Answer: 1
Step-by-step explanation:
You would use the slope formula which is (y2-y1)/(x2-x1) where x1 and y1 correspond to the first point and x2 and y2 correspond to the second point. This would be (5-2)/(9-6) which equals 1. Hope this helps!
Answer:
Slope is 1
Step-by-step explanation:
(5-2)/(9-6)
=3/3
=1
ILL GIVE BRAINLIEST!!!!!!!!!!!!
Answer:
6.30
Step-by-step explanation:
write and solve your own word problem for 1.3 x 2.79? solve without using a calculator
Answer:
The answer is 3.62
Step-by-step explanation:
Here is a word problem that you can use.
Jimmy has exactly 2.79 points. His other friend Robert has 1.3 times his points. How many points does Robert have?
(And yes, I wrote this problem myself and I do not mind you using it! )
Hopefully this helped!
Answer:
You buy 1.3 pounds of cheese, and 2.79 is the price for this cheese, how much to do you spend for cheese.
What is another way to summarize the outcome of this proof?
1
Given: AB II CD
A
B
4
6
5
Prove: 23 a 26
с
7
8
D
Statement
Reason
1. AB||CD
1. Given
2.23 27
2. Corresponding angles theorem
3. Vertical angles are congruent
3. 27 - 26
4. m23 = m27
m27 = m_6
5. m23 = m26
4. Definition of congruence
5. Substitution
6.23 - 26
6. Definition of congruence
Vertical angles are congruent.
B. If two lines are parallel, then alternate interior angles are
congruent.
C. Corresponding angles theorem.
D. If two lines are parallel, then alternate exterior angles are
congruent.
Answer:
Option B: If two lines are parallel, then alternate interior angles are
congruent.
Step-by-step explanation:
Notice that angles 3 and 6 are INTERNAL relative to the parallel lines, that is located in between the parallel lines. They are also alternate angles. Therefore, the correct answer is:
"If two lines are parallel, then alternate interior angles are congruent."
26. the type of tissue that sends
electrical signals through the
body
Answer:
Nervous tissue
Step-by-step explanation:
Nervous tissue sends electrical signals. Muscle tissue helps produce movement. Connective tissue joins, protects, and cushions organs.
Heeeeellpppp
x^5 + 6x + 11x + 6 = 0
Answer:
The answer for x is
x=0.35262048
IM TIMED PLZ HELP Which values of a, b, and c correctly represent the answer in simplest form? a= 38, b= 14, c= 1 a= 1, b= 14, C = 38 a= 1, b= 7, C= 19 a= 19, b= 7, C= 1
Answer:
you're right, a=1 b=7 c=19
Step-by-step explanation:
What are the slope and y-intercept
Answer:
Slope= -1/2 ; y-inter = 0
Step-by-step explanation:
school uniform shirt normally cost $15 each but are on sale for 30% off the original price. You also have a coupon before you take the percent discount. If you have $150 to spend, which of the following equations will help you to determine how many shirts, x, you can buy
Answer:
125 shirts
Step-by-step explanation:
Which statement is true?
A. The sum of two positive integers is sometimes positive, sometimes negative.
B. The sum of two negative integers is always negative.
C. The sum of a positive integer and a negative integer is always positive.
D. The sum of a positive integer and a negative integer is always negative.
Answer:
b or b
Step-by-step explanation:
what is the radius of the cylinder
Two angles of a triangle measure 55 and 20. What is the measure of the third angle of the triangle
Answer:
105
Step-by-step explanation:
180-(55+20)=105
105 is the missing angle because every triangle equals 180 degrees so you just subtract the angles you have already found from 180.
the person above me is correct i checked it so it is indeed 105!
(1, 4) is a solution of the graph. True or False
y
4
2
2
-2
2
х
21
I have alot of questions
Answer:
The coordinates of the vertex D. are (2, -5)
The coordinates of the vertex E. are (3, -2)
The coordinates of the vertex F. are (6, -4)
Step-by-step explanation:
The point D of the graph is located +2 on the x-axis and -5 on the y-axis
The point E of the graph is located +3 on the x-axis and -2 on the y-axis
The point F of the graph is located +6 on the x-axis and -4 on the y-axis
I hope that this helps! :)
Two trains are traveling at a constant rate. Find the rate of each train
help ⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️ 3) Scott is twice as old as Ben. Donna is 6 years older than Ben. The sum of their ages is 34. How old are Donna, Scott, and Ben?
Answer:
S=2B
D=B%2B6
S%2BD%2BB=34
Substitute,
2B%2BB%2B6%2BB=34
4B%2B6=34
4B=28
B=7
Then,
S=2%287%29=14
D=7%2B6=13
Step-by-step explanation:
hope this helps
Answer:
donna is 13
scoot is 14
ben is 7
Step-by-step explanation:
2x+6=34 2x+6-6=34-6 2x=28[tex]\frac{2x}{2} =\frac{28}{2}[/tex]x=1429 + 15x = -x - 3. Simplified
What is the domain of the function y=3 squared root of x -1 ?
O-o
-1
O 0
1
[tex]y=3\sqrt{x-1}[/tex]
The domain is x ≥ 1 as x cannot be less than 1 or else it'll become negative in square root which you cannot find a value.
7 X-4 = *
A) 28
B) 11
C) -11
D) -28
Answer:
7*-4=-28
Step-by-step explanation:
7*-4=-28
What’s 2+2 get it right we can be 1,000 dollars
4! Or 22 :))))))))))))))))))) hope I got it right!