A gardener wants to build a rectangular fence for his prize winning roses. The length of the fence should be at least 6 feet and the distance around it should be no more than 18 feet. What are the possible dimensions?

Answers

Answer 1

Answer:

Dimension = 6 feet × 3 feet

Step-by-step explanation:

From the question given above, the following data were obtained:

Length (L) = 6 feet

Distance around the fence (Perimeter) = 18 feet

Dimension of the fence =?

Next, we shall determine the breadth of the rectangular fence. This can be obtained as follow:

Length (L) = 6 feet

Perimeter (P) = 18 feet

Breadth (B) =?

Perimeter of rectangle is given by:

P = 2(L + B)

18 = 2 (6 + B)

Clear the bracket

18 = 12 + 2B

Collect like terms

18 – 12 = 2B

6 = 2B

Divide both side by 2

B = 6/2

B = 3

Thus, the breadth of the rectangular fence is 3 feet

Dimension of the rectangular fence is given by:

Dimension = length × Breadth

Length (L) = 6 feet

Breadth (B) = 3 feet

Dimension = 6 feet × 3 feet


Related Questions

Does this table represent a proportional relationship?

A) Yes
B) No

Answers

the answer is A yes it shows a proportional relationship

math please help me please help me please help me​

Answers

Answer:

Step-by-step explanation:

Step One: Cancel 3x and 6x.

6x/3x = 2

Step Two: Factor x^2 + 5x + 6

(x+3)(x + 2)

Step Three: Factor x^2 + 9x + 14

(x + 2)(x +7)

Answer

2*(x + 3) / (x + 7)    The (x + 2 )s cancel out

Please HELP! I'll give a Brainliest to the correct answer.
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A hardware store sells 2 gallons of paint and a paintbrush for a total of $45. Last year, Katy bought 4 gallons of paint and a paintbrush in order to paint her porch and paid a total of $85. The system of equations below represents this relationship.

2x+y=45
4x+y=85

This year, Katy needs to paint a shed, so she buys more paint and paintbrushes. She replaces the equation 4x+y=85 with the equation 6x+2y=130, which is the sum of 4x+y=85 and 2x+y=45.

Determine whether each statement below is true. Select (Yes) or (No) for each statement.

The price of a paintbrush this year is $5.

The price of a gallon of paint thi year is $25.

The price of a paintbrush this year is the same as it was last year.

The price of a gallon of paint this year is the same as it was last year.

This year, Kelly buys 6 gallons of paint and 2 paintbrushes for $130.​

Answers

Answer: True false true false false

Step-by-step explanation:

Answer:

Step-by-step explanation:

True false true true

9. Write the equation of a line that is PERPENDICULAR to 6x+3y=15 and passes
through the coordinate (12,-5).

Answers

Answer:

y = 1/2x - 11

Step-by-step explanation:

Step one convert to y = mx+b form

6x + 3y =15

Isolate Y

3y = -6x + 15

Divde the 3 among the other numbers

y = -2x + 5

That is the equation

perpindiculr to that is y = 1/2x + 5 but solve for the points and plug in

the points are (12,-5)

So -5 = 1/2 (12) +b

-5 =  6 + b

Solve for B

-5 - 6 = b

b = -11

FINAL EQUATION

y = 1/2x - 11

please help me i’m so confused

Answers

If the angles on this diagram were labeled this would be a lot easier to describe, but here goes...
We need to find the angle they are calling “1”, at the bottom of the triangle on the far left of the diagram. In order to find that angle, we have to find the other 2 angles first.
The top left corner of the diagram is marked as a right angle (90 degrees) with a line dividing that angle. If one part is 36 degrees, the other is 54 (90-36=54).
Now look in the middle of the diagram where the 2 lines criss-cross. A straight line is 180 degrees...since we see that the one angle in the middle is 88 degrees, the other part of it must be 92 degrees (180-88=92).
You now know 2 of the 3 angles...54 and 92. All 3 angles of a triangle = 180 degrees so we can write this equation...
54 + 92 + (angle 1) = 180
So angle “1” = 34 degrees

Solve using the elimination method.
2x-3y=7
4x-4y=4

Answers

Answer:

x=4, y=5

Step-by-step explanation:

You obtain an answer by subtracting the second equation from the first.

Step-by-step explanation:

2x-3y=7-----------(1)

multiply by 2 in first equation

4x-6y=14------------ (2)

4x-4y=4---------------(3)

then, subtracting eqn (3) from (1)

4x-6y=14

4x-4y=4

sin change - + -

_________

-2x=10

x=-5

putting value of x on eqn (3)

4x-4y=4

-20-4y=4

-4y=24

y=-6

Please answer number 14
I already tried but don’t understand

Answers

Answer:[tex] < abc = < ebc \\ < acb = < ecd \\ if \: two \: angles \: in \: the \:two \: different \: triangles \: are \: equal \: then \: the \: third \: angle \: in \: the \: triangle\: must \: be \: equal. \\ using \: pythogres \: theorum \\ ab = \sqrt( ac ^{2} - bc^{2} )\\ = \sqrt (15 ^{2} - 12 ^{2}) \\ = \sqrt( 225 - 144 )\\ = \sqrt(81) \\ ab = 9 \\ sides \: of \: similar \: triangle \: are \: propotional \\ ac \div ec = dc \div bc \\ 15 \div x = 12 \div 6\\ x = 15 \times 6\div 12\\ x = 15 \div 2 \\ x = 7.5 \\ so \: ec \: = 7.5 \\ you \: can \: check \: this \: by \: applying \: pythogores \: theorum. \\ i \: hope \: this \: helps[/tex]

NEED HELP ASAP! ILL GIVE BRAINLIEST

Answers

The red goes into the bottom plane and the blue stays on the top

Given the function: f(x) = x2 – 2x How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function? x ≥ 0; f Superscript negative 1 Baseline (x) = 1 + StartRoot x + 1 EndRoot x ≥ 1; f Superscript negative 1 Baseline (x) = 1 + StartRoot x + 1 EndRoot x ≥ 0; f Superscript negative 1 Baseline (x) = 1 minus StartRoot x + 1 EndRoot x ≥ 1; f Superscript negative 1 Baseline (x) = 1 minus StartRoot x + 1 EndRoot

Answers

Answer:

D x > 2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot

Step-by-step explanation:

Apply this method when doing problems similar to this one.

9514 1404 393

Answer:

  (b)  x ≥ 1; f⁻¹(x) = 1+√(x+1)

Step-by-step explanation:

We can find the inverse function by solving for y:

  x = f(y)

  x = y² -2y

  x +1 = y² -2y +1

  x +1 = (y -1)²

  √(x +1) = y -1

  1 +√(x +1) = y

So, the inverse function is ...

  [tex]f^{-1}(x)=1+\sqrt{x+1}[/tex]

For this, the root will be non-negative, so the minimum value of this function is 1. That is, the minimum value of x for which the original function has this as an inverse is 1.

The domain restriction is x ≥ 1.

The inverse function is f⁻¹(x) = 1+√(x+1)

She writes the expression (0.2) (14). Which change in Mikel's expression will lead her to the correct answer? The 14 in the expression could be changed to 28. The 0.2 in the expression could be changed to 0.4. The 14 in the expression could be changed to 70. The 0.2 in the expression could be changed to 2.

Answers

Complete question :

Mikel creates the table below to help her determine 40% of 70. She writes the expression Which change in Mikel’s expression will lead her to the correct answer?

Corresponding chart for the problem is attached below.

Answer:

The 0.2 in the expression could be changed to 2.

Step-by-step explanation:

40% of 70

Directly working this out, we obtain :

0.4 * 70 = 28

From the table :

To obtain same from the columns, 0.2 is adjusted to 2.

Hence, 2 * 14 = 28

Susan drove 754 miles in 13 hours.
At the same rate, how long would it take her to drive 638 miles?

Answers

Answer:

It would take her 11 hours

Hope this is right

Step-by-step explanation:

Item 9
Question 1
Solve the inequality. Graph the solution.

t−4≤−14

Answers

I think it’s negative 10 ^^

The solution of the given inequality is t ≤ -10.

What is inequality?

When two values are not equal to one another, there is an inequality between them, which is a mathematical concept. It is a claim that one value exceeds or falls short of another.

Mathematical symbols for inequalities include (less than), > (greater than), (less than or equal to), and (greater than or equal to).

Given that,

t - 4 ≤ -14

The inequality can be solved as below,

t - 4 ≤ -14

t ≤ -14 + 4

t ≤ -10

Therefore, the solution to the inequality is t ≤ -10.

To know more about inequality follow

https://brainly.com/question/24372553

SPJ2

(05.05) Which of the following inequalities matches the graph? (1 point)​

Answers

Answer:  Choice A.   [tex]x \le -7[/tex]

=====================================================

Explanation:

Every point in the shaded region has an x coordinate that is equal to -7 or smaller.

Example points include

(-8, 0)(-10, 2)(-9, -5)

The y coordinate does not matter. All that matters is the x coordinate. The boundary line is the equation x = -7, representing all points that have x coordinate of -7. The solid boundary line says to the reader "any point on this boundary line is part of the shaded region solution set". This inclusion is due to the "or equal to" of the inequality sign.

Find the side of square , if it's perimeter is 18cm .also find its area​

Answers

Answer:

a side of a square with a 18cm ´perimeter would be 4.5cm

area would be 20.25

Step-by-step explanation:

You can calculate the area of a square by using both the length of one side and its perimeter. Divide the perimeter length by 4 to get the measurement for each side of the square.

1. A group of friends share a large popcorn at the movies. It costs $4.95 to buy the first bag and $0.65 for each refill.
If they spent $6.90, how many times did the group of friends refill their popcorn?

Answers

$6.90-$4.95= $1.95
% .65
ANSWER- 3 times

the 2 triangles are similar. if the perimeter of triangle abc is 28, find the value of x​

Answers

given the sides 8 and 10 are similar we can assume that triangle abc is 80% as large. meaning the perimeter of triangle rst is 35.
so 10 + x - 4 + x - 1.5 = 35
4.5 + 2x = 35
2x = 30.5
x = 15.25

_____+67-34=72 plzzz help me​

Answers

ax ndw/klfme'lwmqasxdefrtghy6u7jygtrfasStep-by-step explanation:

Answer:

Solve everything backwards

It REALLY helps!

Step-by-step explanation:

Find volume and surface area

Answers

Volume of cone = (pi • r^2 • h)/3

If the diameter of the circle on the cone is 8 then the radius is 4.

V = (pi • 4^2 • 9)/3

V = 48pi in^3

Surface are of cone given radius.
= pi • r^2 + pi • r • square root of r^2 + h^2

A = 3.14 • 4^2 + 3.14 • 4 square root of 4^2 + 9^2

A = 16 • 3.14 + 4 square root of 97 • 3.14

A = 50.24 + 4 square root of 304.58

A = 50.24 + 69.81

A = 120.05

yo I need help asap would really appreciate, solve photo attached please also pls tell me how you did it

Answers

Answer:

The average rate of change is 4.

Step-by-step explanation:

Average rate of change is simply a fancy way of saying "find the slope".  

So for slope, we use (y2-y1)/(x2-x1).

(3-(-13))/(2-(-2))

16/4

4

HELP ASAP I’ll GIVE BRAINLIEST :))))
Which of the following does -

Answers

Answer:

Step-by-step explanation:

A

The only that makes sense to me is d
Good luck

what percent of 75 is 15

rebember to wright answer in percent form

Answers

Answer:

20%

Step-by-step explanation:

20% is the answer.........

Which is an irrational number?

HELP PLEASE

Answers

Answer:

First one

Step-by-step explanation:

If you simplify the first answer, the numbers in the answer will not repeat

Income tax returns show that the mean income of self-employed persons in a particular year was £15,000, with a standard deviation of £975. A random sample of 169 returns from people in the clothing industry gave a mean income of £14,500. Did this indicate that income from self-employment in the clothing industry was significantly different?

Answers

Answer:

Yes, There is significant difference.

Step-by-step explanation:

Null Hypothesis , H0 : Mean income = 15000

Alternate Hypothesis , H1 : Mean income  ≠  15000

t = (x - u) / ( s / √n)

x = sample mean = 14500 here, u = population mean = 15000 here ,             s = standard deviation =  975 here  , n = sample size

t = (14500 - 15000) / (975 / √169)

-500 / 75 = - 6.66

As  calculated t value in absolute terms is > 1.96 , ie tabulated value at 95% significance level (two sided). So we reject the null hypothesis in favor of alternate hypothesis. Hence, we state that 'Mean Income ≠  15000'

what is the slope intercept form of the line ?

Answers

Answer:

D

Step-by-step explanation:

Its d because in the graph the line where they are at is positive and the answer shows (2,2) in the graph.

Answer:x+2=y

Step-by-step explanation:

Press A can make 100 forms an hour. The table below shows the productivity of press B. How much faster is press B than press A?​

Answers

Answer:

3.3

Step-by-step explanation:

I think so I don't know

Clare paid full price for an item. Han bought the same item for 80% of the full price. Clare said, "I can't believe I paid 125% of what you paid, Han!" Is what she said true? Explain. 14.3

Answers

say the price of the item is $10
clare bought it for 10 dollars and Han bought it for 8 dollars
you can set up a proportion 10/8 = x/100 and solve
1000 = 8x
125 = x
so yes, she was correct in saying this

Answer:

Step-by-step explanation:

e

Isaac is making a cookie recipe that requires 3 cups of sugar for every 6 cups of flour Isaac only has 4 cups of flour he concludes that he will only need two cups of sugar

A. Isaac is incorrect he needs three cups of sugar because decrease in the number of cups of flours by 2 requires increasing the number of cups of sugar by 2.

B. Isaac is the correct one third of the amount of sugar is needed because only one-third of the recipe will be made.

C. Isaac is incorrect the number of cups of sugar must be reduced by 2 because the number of cups of flour is reduced by 2.

D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ​

Answers

Answer:

Step-by-step explanation:

D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ​,

(The ratio 3:6 is equivalent to 1:2, similarly 2:4 is equivalent to 1:2, therefore the ratios 3:6 and 2:4 are the same)

Answer:

the answer is D

hope this helpful

Mindy can drive a total of 375 miles on one full tank of gas, witch is 25 gallons. based on this information, what is the constant of proportionality

A 10
B. 15
C.25
D.375

Answers

Answer:

B. 15

Step-by-step explanation:

PLS HELP ILL MARK AS BRAINIEST :c!!!!!!!

Answers

Answer:

it 982y

Step-by-step explanation: the kid just do your work

Answer:

19.5km^2

Step-by-step explanation:

4500 times 6.5%

divide 292.5 by 15

then you get 19.5

Which of the following explains why space objects are massive in size?

Icy and gaseous material was pushed out by the sun's heat.

Hydrogen atoms fused to form helium due to high pressure.

Large objects clumped together due to gravity to form larger objects.

Large objects were broken apart due to gravity to form fine stellar dust.

Answers

Answer: C) Large objects clumped together due to gravity to form larger objects.

Any mass, no matter how big or small, exerts a force of gravity on other masses. The larger the mass, the more gravitational force is applied. If you had various objects floating in space, then eventually those objects will collide with one another (if they are close enough). Those collisions effectively clump the materials together to form larger masses. Apply this idea multiple times over a very long timespan, and eventually you go from millions of pebbles to larger rock formations to massive asteroids and so on. If you have enough material, then a planet may be formed under the right conditions. This idea applies not just to solid material, but to gasses as well. Planets such as Jupiter is an example of this.

Answer:

Large objects clumped together due to gravity to form larger objects.

Explanation:

All the objects in the universe are subjected to their own force of the gravity and is a fundamental to the study of the force of the universe and help to determine the shape of the planets.The large space object in the solar system is those composed of the large mass that is clustered around by the forces of gravity and held together by the atomic particles.

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