if you have 80 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose

Answers

Answer 1

Answer:

300 ft^2

Step-by-step explanation:

Multiply 30 by 10

Answer 2

The largest possible area that we can enclose in a form of a rectangle with a perimeter of 80 ft is 399 sq feet.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, I have 80 feet of fencing.

Assuming the length of the wall to be 'l' and the width of the wall to be 'w'.

∴ 2(l + b) = 80.

l + b = 40.

So, the sum of length and width is 40, now l + b can be 20 + 20 but that would be a square and give us maximum area but we need a rectangle.

We know the product of the sum of two numbers is maximum when the difference between them is minimum.

∴ The maximum rectangular area we can enclose is when the length is 21 and the width is 19.

Area = 21×19 sq feet.

= 399 sq feet.

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Related Questions

Can somebody show me how to do this with answers? I don’t understand how my teacher shows me

Answers

If you mean adding text above the underscore press the text button on the left and it will allow you to click above the underscore and add text as an answer to said problem.

Write the transformed equation for g(x)+4 calling it h(x)

Answers

Answer:

h(x) = (1/3)x + 6

Step-by-step explanation:

yeah-ya ....... right?

Question down below, Please answer if you know :)

Answers

Answer:

A

Step-by-step explanation:

Answer: C

Step-by-step explanation:

John always wears a shirt, pants, socks, and shoes. He owns 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants, and 5 shirts. How many different outfits can John make?

Answers

Answer:

900

Step-by-step explanation:

12 * 3 * 5 * 5 = 900

900

I would appreciate if you answered!

Answers

Answer:

None of those options

Step-by-step explanation:

I just did the work myself and even ran it through a calculator but the correct answer isn't one of those options.  Here's my work:

[tex]-\frac{5}{6} =z+\frac{1}{8}\\-\frac{5}{8}-\frac{1}{8}=z\\-\frac{40}{48}-\frac{6}{48}=z\\-\frac{46}{48}=z\\-\frac{23}{24}[/tex]

I'd contact you teacher about that...it might be an error in their system (it's happened to me a few times before where the correct answer is marked as incorrect or isn't even an option)

The last time it placed an order for ingredients, Sweet Treats Bakery ordered 7,160 kilograms of sugar. This time, the bakery is ordering 40% less sugar. How much sugar is that?

Answers

Answer:

4296 kg

Step-by-step explanation:

40/100 = x/7160

716 times 6 is 4296

Hurry please
Answer ASAP

Answers

It is non proportional because it doesn’t go through the origin I am pretty sure

Choose the graph that matches the inequality ­–x + y ≥ 2

Answers

Answer:

D

Step-by-step explanation:

-x + y >= 2

first of all, it means it includes the line (the "=" part).

that eliminates B and C.

then just look at the line function itself :

-x + y = 2

y = x + 2

and now

y >= x + 2

so, everything above the line (and again including the line), as every y value greater than or equal to the result of the line function is valid.

The required graph has been attached below which represents the given inequality ­–x + y ≥ 2. which is the correct answer that would be an option (D).

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question below as

–x + y ≥ 2

First and foremost, it signifies that it includes the line (the "=" element).

This rules out B and C.

Then evaluate the line function itself:

-x + y = 2

y = x + 2

and now

y ≥  x + 2

As a consequence, anything above the line (and including the line) is legitimate, as is any y value larger than or equal to the result of the line function.

Thus, the required graph has been attached below which represents the given inequality ­–x + y ≥ 2.

Hence, the correct answer would be an option (D).

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A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts. What is the equation and slope.

Answers

The equation is y = 0.5x and the slope is 0.5.

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the height of the tomato after x weeks. Let us assume that the points are (0, 0) and (6, 3), hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{3-0}{6-0} (x-0)\\\\y=0.5x[/tex]

Therefore the equation is y = 0.5x and the slope is 0.5.

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The equation for the scenario "A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts" is y = mx + c

The slope = m

The duration after which the farmer measures the average height of her tomato = x weeks

The average height of the tomato plant after x weeks = y

For the slope to be required, it means the relationship between the average height of the her tomato (y) and the number of weeks (x) is linear

This means that the average height of the tomato will be represented by a linear equation as shown below

y  =  mx   +  c

The slope of the equation is m

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u=xk , for x
please help me

Answers

Answer:

x=u/k

Step-by-step explanation:

To get x, you would divide by k. Because its x times k. The oppisite is division. This gets you u/k=x

x is equal to u divided by k.

x=u/k

BRAINLIEST
can you help me out :)

Answers

Answer:

DC = 30.47 units

KL = 5.34 units

Step-by-step explanation:

Cos 54 * 20 = AD

Sin 54 = BD/20

Sin 54*20 = BD

BD = 0.809*20 = 16.2

Tang 28 = BD/DC

DC = BD/tang 28

DC = 16.2/0.5317

Tan 51 = JL/14

JL = 1.2349 * 14 = 17.29 units

Cos 72 = KL/JL

Cos 72 * 17.29 = KL

cos 72 = 0.309

KL = 0.309 * 17.29 = 5.34 units

Which angle is the smallest?
12
10
D

Answers

Answer:

Step-by-step explanation:

(21x)-(-16+7x) Subtract.

Answers

Answer:

=14x+16

Step-by-step explanation:

21x−(−16+7x)

=21x+−1(−16+7x)

=21x+(−1)(−16)+−1(7x)

=21x+16+−7x

=21x+16+−7x

=(21x+−7x)+(16)

=14x+16

Answer:

14x+16

Step-by-step explanation:

(21x)-(-16+7x)

Distribute the minus sign

21x+16-7x

Combine like terms

14x+16

please this is half my grade!!!
Benjamin has a ladder that is 15 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 13.8 ft above the ground. What is the angle, rounded to the nearest tenth, that the ladder makes with the ground? Show your work
2. What is the length of side YZ to the nearest tenth? Show your work.
side XY is 11 feet, and angle Z is 35 degrees(this is a right triangle)



3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and show your work.
Side AC is 14 feet, this is a right triangle, and angle A is 30 degrees

Answers

The special right triangle is the right triangle that have acute angle values

that simplify the process of finding its dimensions.

The correct values are;

1. The angle the ladder makes with the ground, is approximately 66.93°

2. The length of YZ is approximately 19.18 ft.

3. CB = 7 ft. and AB = 7·√3 ft.

Reasons:

1. The length of the ladder = 15 ft.

Height of the ladder above the ground, h = 13.8 ft.

Required:

The angle the ladder makes with the ground.

Solution:

The angle the ladder makes with the ground is given by the equation;

[tex]sin(\theta) = \dfrac{Length \ of \ the \ ladder}{Height\ of \ the \ ladder \ above the \ ground} = \dfrac{13.8}{15} = 0.92[/tex]

[tex]\theta = arcsin\left(0.92 \right) \approx 66.93^{\circ}[/tex]

2. The given parameters are;

XY = 11

∠Z = 35°

YZ = Required

In a right triangle, the side facing the acute angle is a leg of the triangle.

Therefore;

XY is the opposite side to ∠Z

[tex]sin(\angle Z) = \dfrac{XY}{YZ}[/tex]

Which gives;

[tex]sin(35^{\circ}) = \dfrac{11}{YZ}[/tex]

[tex]YZ= \dfrac{11}{sin(35^{\circ}) } \approx 19.18[/tex]

YZ ≈ 19.18 ft.

3. AC = 14 ft.

∠A = 30

Required:

The length of the other two sides

Solution:

Where by AC is the hypotenuse side, we have;

CB = AC × sin(∠A)

Therefore;

CB = 14 × sin(30°) = 7

CB = 7 ft.

AB =  AC × cos(∠A) = 14 × cos(30°) = 7·√3

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1. The angle the ladder makes with the ground, is approximately 66.93°

2. The length of YZ is approximately 19.18 ft.

3. CB = 7 ft. and AB = 7·√3 ft.

multiples of 7 between 30 and 50

Answers

Answer:

It is 35, 42, 49

7x5=35

7×6=42

7²=49

5,6,7
=
35
42
49

Hope this helps!!

Find m<1. Please help quick!

Answers

Answer:

17°

Step-by-step explanation:

Look everything you have above the horizontal line.

It's a 73° angle, plus the one you need, plus 90°. They add up to 180.

m+73+90=180, or m=17.


A garden table and a bench cost $783 combined. The garden table costs $83 more than the bench. What is the cost of the bench?

Answers

Answer:

$557.5

Step-by-step explanation:

783/2

391.5 + 83 (more) =

557.5

would love it if someone helped with this question please...

Answers

Answer:

$40.00

Step-by-step explanation:

to find the cost multiply the cost per unit by the number of units: 10/6 x 24 = 40

40 dollars

10/6= 1.666666666666667
Multiply 1.666666666666667 by 24 you get 40

3x^2x4x^5 p please helppppppppppppppppppppppppppppppppppppp

Answers

Answer:

i think it is 120

Step-by-step explanation:

A particular plant root grows 3.5 inches per month.How many centimeters is the plant growing each month?

Answers

Answer:1 inch = 2.54 centimeters so the answer is 3.76

Step-by-step explanation:

(1 inch = 2.54 centimeters). 0.73 centimeters 1.38 centimeters 6.04 centimeters 8.89 centimeters unsubscribe · report · tue mathematics

The answer is 8.89 centimeters

c) 2 x x 3 x y


Please help

Answers

The answer to your problem is 6x^2y

Which is a solution for 7 (x plus 2) equals 35?

Answers

7x = 35 (divide by 7 on both sides to get x by itself)
x = 5

Factories often add filler when making meatballs sold by the bag. One factory obtained 72 kg of beef from overseas. They want to add 1.2 oz of filler for each
pound of beef, How many ounces of filler will the factory need in order to make meatbälls out of this shipment of beef? Help

Answers

Answer:

158.732829

rounded up: 159

Step-by-step explanation:

trust the calculator

Select the correct answer.
What is the vertex of the function f(x) = |x + 7| − 3?

Answers

the vertex is at (-7,-3)

The value of a new car in 2015 was 40,000 dollar. It depreciates each year by 7%. How much will the car be worth in 2026?

Answers

Answer: $30,800

Step-by-step explanation: First you have to subtract 2026 - 2015, which is 11 years. Since it depreciates by 7% each year, you would multiply 7 by 11, which is 77. 77 is the percent of depreciation of the car. After that, you would divide 40000 by 100, which is 400. Then you multiply 400 by 77 to get you final answer.

Susan made $117 for hours 9 of work.
At the same rate, how much would she make for 7 hours of work?

Answers

First we need to figure out how much Susan made per hour

117/9 = 13 dollars per hour

Then find out how much she makes in 7 hours

13 • 7 = 91 dollars

$91 in 7 hours

Simplify this expression:
[tex]7xy - x^{2}t+4xy+5x^{2}t[/tex]

Answers

Answer:

[tex]11xy+4x^{2} t[/tex]

Step-by-step explanation:

1. Collect Like Terms

[tex](7xy+4xy)+(-x^{2} t+5x^{2} t)\\[/tex]

2. Simplify.

[tex]11xy+4x^{2} t[/tex]

11xy+4tx^2. You combine 7xy and 4xy and get 11xy, then add 5x^2t and -x^2t and get 4tx^2

what is the solution to this system of equations?

5x-y=40
y=2x-4

A) 20, 12
B) -20, 12
C) 12, -20
D) 12, 20

Answers

We know what y is given the second equation, so let’s plug it in

5x - (2x - 4) = 40

Solve for x

5x - 2x + 4 = 40

3x = 36

x = 12

Plug in x for either equation

y = 2(12) - 4

y = 24 - 4

y = 20

X = 12 and Y = 20, so D
Answer is D

{ solve simultaneously }
rearrange equation to make y the subject
5x-y=40
y=5x-40

Sub y=5x-40 into the second equation given ( y=2x-4 )

5x-40 = 2x-4

Solve normally to find x
x = 12

Sub x=12 into y=5x-40
Solve normally to find y
y = 20

Therefore, answer is D) 12, 20

4x+8=3
help asap
step by step please

Answers

[tex]4x +8 =3\\\\\implies 4x = - 5 \\\\\implies x = - \dfrac 54[/tex]

Answer:

x= -5/4

Step-by-step explanation:

4x+8=3

4x=3-8

4x=-5

x= -5/4

WILL MARK BRAINLIEST
Solve 39.2 ÷ 7 = ________.

5.2
5.3
5.5
5.6

Answers

Answer:

5.6

Step-by-step explanation:

Answer:

5.6

Step-by-step explanation:

I just take each answer and multiply it by 7 until the answer matches 39.2.

5.6 * 7 = 39.2

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