Can somebody help me solve this inequality it’s kinda hard for me to solve

Answers

Answer 1

Answer:

54 chickens

Step-by-step explanation:

This problem requires you find the area of Thomas's field, then use that area to find the number of chickens he can keep. The irregularly-shaped field can be considered as composed of shapes that you know how to find the area of.

field area

There are many ways the area can be divided. One of them is shown in the attachment. That shows the area to be the sum of the areas of a triangle and a trapezoid.

The triangle has a base of 20 m and a height of 7 m, so an area of ...

A = 1/2bh

A = 1/2(20 m)(7 m) = 70 m²

The trapezoid has bases of 11 m and 18 m, and a height of 14 m. Its area is ...

A = 1/2(b1 +b2)h

A = 1/2(11 m +18 m)(14 m) = 1/2(29 m)(14 m) = 203 m²

The area of the field is the sum of these areas:

field area = triangle area + trapezoid area

field area = 70 m² +203 m² = 273 m²

chickens

Each chicken requires an area of 5 m², so the total area for n chickens is ...

area for n chickens = 5n . . . . square meters

This area cannot exceed the area of the field, so an inequality can be written:

area for n chickens ≤ field area

5n ≤ 273

n ≤ 54.6 . . . . . . divide by 5

Thomas can keep a maximum of 54 chickens in the field.

Related Questions

Given the circle has a radius of 9 and a center of (-6,4) what is the equation of the
circle?

Answers

Answer:

(x+6)2 + (y-4)2 = 81

Step-by-step explanation:

The equation of the circle is in the for (x-a)2 + (y-b)2 = c2

Identify coordinate point C.

(1, 5)
(6, 7)
(7, 3)
(0, 2)

Answers

Answer: (6,7)

Step-by-step explanation:

Answer:

(7,6)

Step-by-step explanation:

look above as your axis x it's 7, and then down is axis y is 6.

n = ut - ½gt2 Find h when u = 100
t=1% & g=6.4

Answers

Step-by-step explanation:

h = ut - ½gt²

h = 100 (0.01) – 1/2 × 6.4 × (1/100)²

h = 1 – 1/2 × 6.4 × 0.0001

h = 1 – 0.00032

h = 0.99968 ≈ 0.9

What is the volume of the rectangular prism?

A rectangular prism with dimensions 4 and 1 third feet by 3 and 1 third feet by 4 feet.
57 7/9ft3
11 2/3ft3
48 2/9ft3
28 2/3ft3

Answers

Answer:

A or 57 7/9ft3

Step-by-step explanation:

13/3x10/3x4/1 = 520/9=57 7/9

Answer:

The volume of the rectangle would be [tex]57\frac{7}{9}[/tex] ft^3. (The first answer).

Step-by-step explanation:

To solve you have to multiply [tex]4\frac{1}{3},3\frac{1}{2}, and, 4[/tex] to get an answer of [tex]57\frac{7}{9}[/tex].
I hope this helps! :)

Two similar triangles are shown below

Which two sets of angles are corresponding angles?

Answers

Answer:

I cant help unfortunately

Step-by-step explanation:

can you help me in the comprehension of the story uncle Marcos ?

My exam is in 4 hours btw

opposite of expanded form

Answers

Answer:

factored form

Step-by-step explanation:

example

(x + 2)(x + 3) ← is an expression in factored form

= x² + 5x + 6 ← in expanded form

Answer:

factored form

Step-by-step explanation:

Factored form is opposite of expanded form.

More info:-

Expanded form:

[tex]\sf{5(x+7)=5x+35}[/tex]

Factored form:

[tex]\sf{5x+35=5(x+7)}[/tex]

Pleaseeeee helpppppp
Please help me evaluate this in terms of sin/cos/sec etc. (trigonometric form)

tan2θ-(1-tan2θ)=?

Answers

The evaluation is (2sin2∅-cos2∅)sec2∅.

What are trigonometric functions?

Trigonometric functions are functions used to relate the sides of a triangle with its angles.

Analysis:

2tan2∅ -(1- tan2∅)

2tan2∅ - 1 + tan2∅

3tan2∅ - 1

3([tex]\frac{sin2\alpha }{cos2\alpha }[/tex]) - 1

(3sin2∅/cos2∅) - 1

(3sin2∅ - cos2∅)/cos2∅

but 1/cos2∅ = sec2∅

(3sin2∅ - cos2∅)/sec2∅

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Which function is increasing and has a domain of (1, )?
A. -log(x − 2) + 1 B. -log(x − 1) + 2 C. log(x − 1) + 2 D. log(x − 2) + 1

Answers

Answer:

B . it was right when I picked it

Help with this inequality pleaze

Answers

Answer:

108 cm^2

Step-by-step explanation:

Trapezoid area = (a+b)/2 * h

= (6+12)/2 * 6 = 54 cm^2

Triangle area = b*h/2 = 12* (15-6) / 2 = 54 cm^2

Total area is 54+54 = 108 cm^2

Pls help to find intervals of increasing, decreasing, and range. Quadratic btw T-T

Answers

Answer:

left side:

Range: For all Y inside of Real, y>= -2

Increasing: (-2, inf) For all x inside of Real

Decreasing:(inf, -2) For all x inside of Real

Right side:

Range: For all Y inside of Real, y<= 1

Increasing: (-1, inf) For all x inside of Real

Decreasing:(inf, 1) For all x inside of Real

A map shows that the vertices of a backyard are W(-100,-70), X(-100,0),Y(0,0), and Z(-60,-70) . The coordinates are measured in feet. The line segment XZ separates the backyard into a lawn and a garden. The area of the lawn is greater than the area of the garden. How many times larger is the lawn than the garden?

Answers

The area of the lawn is 2.5 times greater than the area of the garden.

What is Heron's formula in math?

Heron's formula for finding the area of a triangle in terms of the lengths of its sides.

In symbols, if a, b, and c are the lengths of the sides: Area = √s(s - a)(s - b)(s - c) where s is half the perimeter, or (a + b + c)/2.

Given vertices W(-100,-70), X(-100,0),Y(0,0), and Z(-60,-70) of a backyard,

We have to find distances WX, XY, YZ, ZW and XZ:

1. WX= √(-100+100)²+(0+70)²

=√0+4900

=70

2. XY= √(0+100)²+(0-0)²

=100 units.

3. YZ= √(-60-0)²+(-70-0)²

=√3600+4900

= √8500= 10√85

4. ZW= √(-60+100)²+(-70+70)²

=√40²+0

=40 units

5. XZ= √(-60+100)²+(-70+0)²

=√40²+70²

=√6500=10√65

Then:

1. the area of WXZ

[tex]\sqrt{(70+40+10\sqrt{65}) /2 * ({70+40+10\sqrt{65}) /2 -70* {(70+40+10\sqrt{65}) /2 -40[/tex]*[tex]\sqrt{(70+40+10\sqrt{65}) /2 -10\sqrt{65}[/tex]

=1400 feet²

Area of XYZ= [tex]\sqrt{(100+10\sqrt{65}+10\sqrt{85}) /2 * (100+10\sqrt{65}+10\sqrt{85}) /2 -100* {(100+10\sqrt{85}+10\sqrt{65}) /2[/tex]-[tex]\sqrt{-10\sqrt{85}*(10+10\sqrt{85} +10\sqrt{65}) /2 -10\sqrt{65}[/tex]

=3500 feet²

Then, ar(WXZ)/ ar (XYZ)= 3500/1400=2.5 times.

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A piece of card, 1200 cm² in area, will make a tube 13 cm long. How long is a similar
tube made from a similar piece of card with an area of 500 cm³?

Answers

The length of the similar tube will be 5041 cm.

What is the area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that:-

A piece of card, 1200 cm² in area, will make a tube 13 cm long. How long is a similar?Tube made from a similar piece of card with an area of 500square centimetres.

The radius of the first tube will be calculated as:-

1200 = 2πr ( 13 )

r = 12 / 2π x 113

r = 14.7 cm

Now the length of the second tube will be:-

500 = 2π x 14.7 x L

L = 500 / 2π x 14.7

L = 5.41 cm.

Therefore the length of a similar tube will be 5041 cm.

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Question 5 and 6 I need answers to

Answers

Answer:

and also mark me the brainliest for the answer

Step-by-step explanation:

I need help on this please

Answers

Answer:

-22

Step-by-step explanation:

each mark decreases by three, two marks down from 16 would be 16+3+3; which equals 22, and it has to be negative

hope this helped!

I think it’s either 19

But I’m not 100% sure, but why I think this is because 10…..16
So between those 2 numbers is 13
That means that it adds by 3
Which maybe 16+3=19
sorry tho I’m not that sure but I think it is ?

Enter segments in the blanks provided that would result in a true equation.

Answers

Answer: [tex]\frac{ML}{MK}[/tex]

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so since OP corresponds to ML and NP corresponds to MK (since they are opposite the corresponding congruent angles), the answer is ML/MK.

which ordered pair could represent a y-intercept on a graph

Answers

Answer: (0,6)

Step-by-step explanation:

please help, i’ll give pointsssss :)

Answers

the slope of the line should be 2 because when using rise over run for the graph it is shown that the slope rises 2 and runs 1 meaning the fraction is 2/1 which when simplified is 2

What is the equation of the line that passes through the point (-6, -7) and has a
slope of1/2?

Answers

Answer:

y = x/2 - 4

Step-by-step explanation:

What is the equation of a line through the points (0,9) and (3,0)?

Answers

Answer:

The image has the ans.

Step-by-step explanation:

The image will help.

How many inches around is the border if the diameter of the pizza is 8 inches?

Answers

Answer:

25.12

Step-by-step explanation:

Since it says around the pizza, we can assume it means circumference.

So, the formula to find circumference is C=2πr.

We have a diameter which is 8. We know that radius is half of the diameter. So, half of 8 is 4.

Now that we have the radius we can plug in the numbers for the formula C=2πr.

C=2πr

C=2*3.14*4

C=25.12

your answer is 25.12 inches.

Hunter picked three quarts of blueberries. some of the blueberries are ripe and some are not ripe. If he takes one blueberry from the basket without looking, what are the outcomes

Answers

Answer:

Berries with any blush of red are not ripe, yet may ripen further once picked if kept at room temperature. That said though, you really want to ...

What is the value of x.

Answers

Answer:

Step-by-step explanation:

x + x + 36 = 180

2x + 36 = 180

2x = 144

x = 72

The circle is centered on point p. points j, k and l lie on the circumference. zjlk
measures 47. find the measure of zjpk.

Answers

Using the giving information, the measure of ∠JPK is 94°

Circle Geometry

From the question, we are to determine the measure of ∠JPK

From one of the circle theorems,

Angle at the center is twice the angle at the circumference

That is,

∠JPK = 2 × ∠JLK

From the given information,

∠JLK = 47°

∴ ∠JPK = 2 × 47°

∠JPK = 94°

Hence, the measure of ∠JPK is 94°

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help solve these algebraic fractions please with explanation would be great <3

Answers

Answer:

7/ Ans;

[tex] \frac{x + 2}{ x + 4} \div \frac{ {x }^{2} - 2x - 8}{ {x}^{2} + 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{ {x}^{2} + 2x - 8 }{ {x}^{2} - 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{(x - 2)(x + 4)}{(x - 4)(x + 2)} \\ \\ \\ =1 \times \frac{x - 2}{x - 4} \\ \\ \\ = \frac{x - 2}{x - 4} [/tex]

___o__o__

9/Ans;

[tex] \frac{ {x}^{2} - 9}{ {x}^{2} - 6x + 9} \div \frac{x + 4}{x - 3} \\ \\ \frac{ {x}^{2} - 9 }{ {x}^{2} - 6x + 9} \times \frac{x - 3}{x + 4} \\ \\ \\ \frac{(x + 3)(x - 3)}{(x - 3)(x - 3)} \times \frac{x - 3}{x + 4} \\ \\ \\ = \frac{(x + 3)}{1} \times \frac{1}{(x + 4)} \\ \\ \\ = \frac{x + 3}{x + 4} [/tex]

__o__o__

In the two questions, we first replace the division with multiplication with flipping the fraction after the division sign, secondly we analyze any equation that needs analysis to simplify it, thirdly, to simplify the fraction by deleting the numerator and the similar denominator .

Mr. Addison is building a sandbox shaped like a rectangular prism. The sandbox is 9ft long, 5ft wide, and 2.5 ft deep. How many cubic ft of sand will the sandbox hold?

Answers

Answer.= 112.5 cu ft

Volume is what you are looking for
Volume is L x W x H
9x5x2.5 = 112.5 cu ft

At a music academy, a randomly selected group of people were asked which type of musical instrument they are learning to play. The results are displayed, by age, in the two-way frequency table.

String Woodwind Piano Total
Ages 15-19 11 3 7 21
Ages 20-24 9 10 17 36
Ages 25-29 16 6 7 29
Total 36 19 31 86

Based on the data in the table, which statement is true?

A.
P(learning a string instrument) ≠ P(ages 20-24)
B.
P(playing piano|ages 25-29) = P(ages 15-19|learning piano)
C.
P(ages 15-19|learning piano) ≠ P(ages 15-19)
D.
P(learning piano|ages 20-24) = P(learning piano)

Answers

C P(ages 15-19)| learning piano)=/P(ages 15-19)

P(ages 15-19|learning piano) = P(playing piano|ages 25-29) so option (B) must be correct.

What is a frequency table?

A frequency table is a list of objects with the frequency of each item shown in the table.

The quantity of times that an event or value occurs is its frequency.

In other words, a frequency table is a table in which we have some data and their frequency.

Given the problem has been attached below,

It is clear that

Number of playing piano in the age of 25 - 29 = Number of playing piano in the age of 15 - 19

Hence it should be the correct answer.

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Accuracy is a measure of how close an answer is to actual or expected value true or false

Answers

Answer:

True

Step-by-step explanation:

Hello there!

Accuracy refers to a measure of how close an answer (this can also be measurement) to actual or expected value. This is a clear definition which has also been postulated by International Standard of Units (ISO). And therefore the claim above is true.

I hope this helps you.

Have a nice studies.

Porter's coat has a diameter of 8 millimeters. What is the button's area

Answers

We can use the formula to solve for A, the area. The formula is:

A=1/4 · π · d^2.

So let’s use this to solve the diameter of the button.

1/4·π·8^2≈50.26548

We can then round to a final answer of 50.27.

Hope this helps!

write an equation for a prabola with a vertex at the origin, passing through(5,6), and symmetric with respect to the x-axis

Answers

a parabola with symmetry or mirror image across the x-axis, will be a horizontal parabola, namely one that opens either to the right or left.

a horizontal parabola will be a parabola whose independent variable is the "y", so it'll be an x(y) type of equation.

[tex]~~~~~~\textit{horizontal parabola vertex form} \\\\ x=a(y- k)^2+ h\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\supset}\qquad \stackrel{"a"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies x=a(y-0)^2+0\qquad \textit{we also know that} \begin{cases} x=5\\ y=6 \end{cases} \\\\\\ 5=a(6-0)^2 +0\implies 5=36a\implies \cfrac{5}{36}=a~\hfill \boxed{x=\cfrac{5}{36}y^2}[/tex]

Determine whether each set of side lengths could be the sides of a right triangle. drag and drop each set of side lengths to the correct box. right triangle not a right triangle

Answers

The set of side lengths that could be the sides of a right triangle must follow the Pythagoras theorem

How to determine the side lengths?

The rule of the side lengths of a right triangle is:

[tex]c^2 = a^2 + b^2[/tex]

Where c is the length of the longest side, and a and b represent the lengths of the triangle

This in other words mean that:

All right triangles obey the Pythagoras theorem

Note that I gave a general explanation because the question is incomplete