A farmer builds a fence to enclose a rectangular pasture. He uses 155 feet of fence. Find the total area of the pasture if it is 45.5 feet long. The length is 6 and the height is 5 what is the width?

Answers

Answer 1

Answer: [tex]1456\ ft^2[/tex]

Step-by-step explanation:

Given

Length of whole fence is 155 feet

If the length of rectangle is 45.5 ft

Suppose width is w

Length of whole fence is perimeter which is given by

[tex]\Rightarrow 155=2(45.5+w)\\\Rightarrow 77.5=45.5+w\\\Rightarrow w=32\ ft[/tex]

Area of the rectangle is given by the product of length and width

[tex]\Rightarrow A=lw\\\Rightarrow A=45.5\times 32\\\Rightarrow A=1456\ ft^2[/tex]

Thus, total area of pasture is [tex]1456\ ft^2[/tex]


Related Questions

Which is the equation of a line parallel to the line with the equation: y = −14x + 7
y = -4x - 7

y = 4x + 2

y = 14x − 12

y = −14x + 3

Answers

Answer:

y = −14x + 3

Step-by-step explanation:

Parallel lines have the same slope

The equation y = −14x + 7 is put in slope intercept form ( y = mx + b )

Where m = slope

-14 takes "m's" place meaning that the slope = -14

If parallel lines have the same slope than the equation of a line parallel to y = −14x + 7 must have a slope of -14

The only equation that has a slope of -14 is D

which expression is equivalent to 100 + 20

Answers

Answer:

20(5+1) is equivalent to 100 + 20

Answer: 20 (5 + 1)

Step-by-step explanation: 20 x 5 = 100

                                             20 x 1 = 20

hopefully that helped :)

Question 9 of 10 What is the slope of the line shown below? A. 4 B.-1/4 C.1/4 D.-4​

Answers

Answer:

c = 1/4

-1-1 = -2

-3-5 = -8  

Step-by-step explanation:

Which of the following is a correct tangent ratio of the figure?

tan 72°= 58/19
tan 19° =58/72
tan 58° = 72/19
tan 72 = 19/52

Answers

Answer:

tan 72°=58/19

Step-by-step explanation:

i think this is the right answer

If px-3+qx+1=2x+3,Find the value of p+q

Answers

Answer: p + q = (2x+5)/x

isolate p + q on one side: therefore rewrite the equation.

px + qx -2 = 2x + 3

px + qx = 2x + 5

x(p+q) = 2x+5

p + q = (2x+5)/x

Find the vertex of f(x) = 3(x-7)(x+5)
Please show your work.

^^ I’ve been having a bit of trouble with this question :( although it’s simple quadratics is not my strong suit

Answers

Answer:

The vertex is at (1, -108).

Step-by-step explanation:

We have the function:

[tex]f(x)=3(x-7)(x+5)[/tex]

And we want to find its vertex point.

Note that this is in factored form. Hence, our roots/zeros are x = 7 and x = -5.

Since a parabola is symmetric along its vertex, the x-coordinate of the vertex is halfway between the two zeros. Hence:

[tex]\displaystyle x=\frac{7+(-5)}{2}=\frac{2}{2}=1[/tex]

To find the y-coordinate, substitute this back into the function. Hence:

[tex]f(1)=3((1)-7)((1)+5)=3(-6)(6)=-108[/tex]

Therefore, our vertex is at (1, -108).

Answer:

vertex (1, -108)

Step-by-step explanation:

First find the zeros

f(x) = 3(x-7)(x+5)

0 =  3(x-7)(x+5)

Using the zero product property

x-7 = 0   x+5 = 0

x = 7  x = -5

The x coordinate of the vertex is the average of the zeros

(7+-5)/2 = 2/2 =1

To find the y coordinate, substitute the x coordinate into the equation

y = 3(1-7)(1+5) = 3(-6)(6) = -108

An on-demand movie company charges 52.95 per movie plus a monthly fee of $39.95. Which expression represents
the yearly cost for x movie rentals?
295x+39.95
39.95x295
2958-39 95(12)
295x3995(12)
Hurry I'm being timed !

Answers

Answer:

52.95x + 39.95(12)

Step-by-step explanation:

Answer:

52.95 x + 39.95 (12)

Step-by-step explanation:

cost per movie = 52.95

a monthly subscription is 39.95 and there are 12 months in a year so it would be 39.95 x 12

the x would be dependent on the amount of movie rentals and therefore the cost of the rentals = 52.95 x

my friend took time to round once around a circular field is 30seconds. Calculate the area of field of the school of his speed is 90 meter/sec​

Answers

Answer:

im bad at math but i think its 120

It should be 120 hopefully this helps

Find the x in the kite below

Answers

Answer:

x = 5

Step-by-step explanation:

comment if you need explanation

Answer:

Step-by-step explanation:

It just so happens that x is the hypotenuse in the right triangle with sides 3 and 4. To find x we use Pythagorean's Theorem:

[tex]x^2=3^2+4^2[/tex] and

[tex]x^2=9+16[/tex] and

[tex]x^2=25[/tex] so

x = 5

Which answer represents the range of the logarithmic function given below?
F(x) = log0.6^x

Answers

F(x)- 10g0.6*X= 030437

A - H, please! thank you.

Answers

Answer:

First exercise

a) 1/8=0.125

b) 5$

c) y = 0.125 * x - 5

Second exercise

a) 0.11 $/KWh

b) no flat fee

c) y = 0.11 * x

Step-by-step explanation:

(See the pictures)

Solve for x: 5x - 3 = 10

Answers

Answer:

5x - 3 = 10

5x = 13

x = 13 / 5

x = 2.6

Step-by-step explanation:

Solving for x:-

<> 5x = 10 + 3

<> 5x = 13

<> 5x ÷ 5 = 13 ÷ 5

<> x = 2.6

There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?
12th
$
12
Save and Exit
Next
Submit
Mark this and return

Answers

Answer:

divide 3 by the amount of feet to get to the yards

Step-by-step explanation:

For every three feet, there's always one yard

so to do this only given feet, we'll need to divide the amount of feet by 3 to represent the amount of yards

product of (n+bv^2) (5n+3bv2)

Answers

Answer:

5n² + 8bnv² + 3b²v^4

Step-by-step explanation:

(n+bv²) (5n+3bv²)

5n² + 3bnv² + 5bnv² + 3b²v^4

5n² + 8bnv² + 3b²v^4

Cláudio pode ir de sua casa a escola andando três km para o Norte, 2 para o oeste, um para o sul, quatro para o leste e, finalmente, 2 para o sul ponto para ir de sua casa a escola em linha reta, Cláudio deve andar: a) 1 km para o sul b) 2 Km para o leste c) 3 km para o oeste d) 4 km para o Norte e) 5 km para o leste

Answers

Answer:

b) 2 Km para o leste

Step-by-step explanation:

1. 2 km N

2. 2 km W

3. 1 km S

4. 4 km E

5. 2 km S

Sul e Norte:

(1.) 2 km N + (3.) 1 km S + (5.) 2 km S = 2 km - 1 km - 2 km = 0

Este e Oeste:

(2.) 2 km W + (4.) 4 km E = -2 km + 4 km = 2 km E

Veja imagem abaixo.

A particle is projected vertically upwards . It attains a height h after 2 seconds and again after 10 seconds . the height h is numerically equal to

Answers

Answer:

320m

Step-by-step explanation:

that is the procedure above

Find the value of t for a t-distribution with 12 degrees of freedom such that the area to the left of t equals 0.025. Round your answer to three decimal places, if necessary.

Answers

Answer:

-2.179

Step-by-step explanation:

Given :

Degree of freedom, df = 12

Area to the left = 0.025

The value of T can be obtained using either a t distribution table or a T value calculator :

t0.025, 12 (to the left) = t(1-0.025), 12 = t0.975,12 = - 2.1788

Therefor le, t value with 12 degree of freedom, with area to the left being 0.025 is - 2.179

the slopes of the perpendicular lines are ____.

Answers

Answer:

a) negative reciprocals

Step-by-step explanation:

In a paragraph, explain what the domain and range is for the function, and how you found your answer: f(x) = x2 + 6x - 25.

Answers

Answer:

Domain(-infinity,+infinity)

Range=f(x) >or= - 34

Step-by-step explanation:

Domain for every parabola the domain is (-infinity, +infinity) unless there are any restrictions

Range we look at the y value of the maximum point or minimum points

We find it by finding the turning point

F'(x) =2x+6

0=2x+6

-6=2x

x=-3

F(-3)=(-3)^2+6(-3)-23

=-34

So all value that exist on the f(x) must be greater or =-34

The pair of equations y = 0 and y = -7 has how many solutions?

Answers

Answer:

2 solutions so it can be inferred that it might be a quadratic

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

y = 0 and y = - 7 are horizontal parallel lines.

Since they are parallel, they never intersect and so have no solutions.

.. A machine in a candy company creates 9,328 pieces of candy each hour. If a box of candy has 98 pieces in it, how many boxes does the machine make in one hour? The machine makes boxes each hour.​

Answers

The machine makes 95 boxes an hour. Hope this helps

10 of 10
Work out the area of a rectangle with base, b = 38mm and perimeter, P =
100mm.
b

Answers

Let the height of the rectangle = h

2b + 2h = 100

2(38) + 2h = 100

2h = 100 - 76

h = 12mm

area of rectangle = base x height

= 38 x 12

= 456mm²

Answer:

456mm²

Step-by-step explanation:

using formula;

b/2( P - 2b) = A

substitute values

For every quarter in his pocket, John also has 5 pennies in his pocket. If the total of the coins in John’s pocket is $ 5.40, how many quarters does John have in his pocket.

Answers

If a student receives a score of 80, how many questions did this student answer ... (5). Let x = the first number, and y = the second number ... If John only has 25 coins in his pocket, how many of the coins are quarters?

Simplify. 6x-2
A.6/x^2
B.x²/6
C.1/6x^2
D.1/36x^2

Answers

Answer:

Step-by-step explanation:

[tex]a^{-m}=\frac{1}{a^{m}}\\\\6x^{-2}=6*\frac{1}{x^{2}}=\frac{6}{x^{2}}[/tex]

2x+y=8
x+y=4
Where do they intersect at?

Answers

Answer:

[tex]{ \bf{2x + y = 8 - - - (a)}} \\ { \bf{x + y = 4 - - - (b)}} \\ a - b : \\ x = 4 \\ 4 + y = 4 \\ y = 0 \\ { \tt{they \: intersect \: at \: (4, \: 0)}}[/tex]

24 more than Holly's age is 67

Answers

Answer:

This question isn't really complete, but if you're asking what Holly's age is, then that's just 67 - 24, which is 43.

So Holly is 43, if that's the question.

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]h + 24 =67[/tex]

[tex]h = 43[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

We are given that 24 more than Holly's age is 67.

⸻⸻⸻⸻

[tex]\boxed{\text{Setting up an equation:}}\\\\\text{'24 more than Holly's age'} \rightarrow h + 24\\\\\text{'is 67'} \rightarrow = 67\\\\\boxed{h + 24 = 67}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'h'...}}\\\\h + 24 = 67\\-------------\\\rightarrow h + 24 - 24 = 67 - 24\\\\\rightarrow \boxed{h=43}\\\\\\\text{Holly should be 43 years old.}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Solve for h. Make sure to use scrap paper to show your work.

( 136 + 6 x 8 ) ÷ 2 = g

Answers

Answer:

92

Step-by-step explanation:

6 x 8 = 48  

48 + 136 = 184

184 / 2 = 92

There is no h, but

G=92

6•8=48
136+48=184
184/2=92

PLZ ANSWER ILL GIVE BRAINLIEST FIRST CORRECT ANSWER

Answers

Answer:

B) Y=-2x+1

Step-by-step explanation:

(-2,5)(2,-3)

M= -8/4 = -2

y = -2x + b

5 = -2(-2)+ b

B= 1

Y=-2x+1

Help me out plz bbbhbbhh

Answers

5.) -3x - 12
hopefully that’s the answer you needed

the solution is in the picture ☝️

ANSWER: 240 hours

this is for n.12

Find the Average Number of Fruits eaten By Tony on a week:
Days of the week | Number of fruits
________________________________________
Sunday | 60
Monday | 40
Tuesday | 20
Wednesday | 40
Thursday | 80
Friday | 30
Saturday | 20

Answers

Answer:

41.43 fruits

Step-by-step explanation:

Average number of fruits= sum of fruits for each dat ÷ total number of fruits

[tex] \frac{60 + 40 + 20 + 40 + 80 + 30 + 20}{7} [/tex]

[tex] = \frac{290}{7} [/tex]

[tex] = 41.43 \: fruits[/tex]

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