Please help me with my work

The dimensions for the least amount of fencing is 16.7 ft by 33.5 ft

Let x represent the length of the fence and y represent the width of the fence.

Since the area is 560 square feet, hence:

Area = length * width

560 = xy

y = 560/x

One side of the land is already protected by a barn, hence:

Perimeter (P) = x + x + y = 2x + y

P = 2x + y

P = 2x + 560/x

For least amount of fencing, dP/dx = 0, hence:

dP/dx = 2 - 560/x²

0 = 2 - 560/x²

560/x² = 2

2x² = 560

x = 16.7

y = 560/16.7 = 33.5 ft

The dimensions for the least amount of fencing is 16.7 ft by 33.5 ft

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Answer:

4m i think it sounds about right

Answer: the answer is 9m or D

Step-by-step explanation:

Answer:

1.5 or 1 1/2 pounds of candy

Step-by-step explanation:

First, divide 2 into 4 equal pieces. You do this because of the denominator in 3/4.

2 divided by 4= 0.5

Then 0.5 times 3 because of the numerator in 3/4.

0.5 times 3= 1.5

You can convert this into the fraction 1 1/2 or you can leave it a 1.5

Hope this helps!

Answer:

37.5% or 3/8

Step-by-step explanation:

There are 8 total letters, and only 3 vowels, which can be the fraction 3/8. 3/8 as a percent is 37.5%. Hope this helps!

Answer:

Capital letters and Rotations marks

Answer:

I suppose that you want to see how we can find the volume of each individual slab with the given information, the procedure is as follows.

The walkway has 3 cement slabs,

He uses a total amount of 14 cubic feet to make the complete walkway.

This means that the 3 cement slabs together have a total volume of 14 ft^3

To find the volume of each slab, we need to find the quotient between the total volume and the total number of slabs, then we get:

Volume of each slab = (14 ft^3)/3 = 4 ft^3

This means that each cement slab has a volume of 4 ft^3.

Answer:

6 ft^3

Step-by-step explanation:

Answer:

La corriente continua es producida por fuentes como baterías, termopares, celdas solares y máquinas eléctricas de tipo conmutador de tipo dínamo. La corriente continua puede fluir en un conductor como un cable, pero también puede fluir a través de semiconductores, aislantes o incluso a través de un vacío como en los haces de electrones o iones. espero que esto te ayude

Answer:

[tex]log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1[/tex]

Step-by-step explanation:

Given

[tex]log_3(\frac{21}{5})[/tex]

Required

Express in terms of [tex]log_3(5)[/tex] and [tex]log_3(7)[/tex]

[tex]log_3(\frac{21}{5})[/tex]

Express 21 as 7 * 3

[tex]log_3(\frac{21}{5}) = log_3(\frac{7 * 3}{5})[/tex]

Apply law of logarithm

[tex]log_3(\frac{21}{5}) = log_3(7) + log_3(3) - log_3(5)[/tex]

[tex]log_3(3) = 1[/tex]. So, we have:

[tex]log_3(\frac{21}{5}) = log_3(7) + 1 - log_3(5)[/tex]

Rewrite:

[tex]log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1[/tex]

Answer:

yeah whats the question asking >:(

Answer:

C. No; two range values exist for domain value –2.

Step-by-step explanation:

The relation is not a function.

The -2 in the domain repeats

Since  

x

=

−

2

produces  

y

=

0

and  

y

=

6

, the relation  

(

−

8

,

−

4

)

,

(

−

2

,

0

)

,

(

1

,

3

)

,

(

−

2

,

6

)

is not a function.

The relation is not a function.

Answer: 415.2

Step-by-step explanation:

Answer: A. The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.

C. The circumcenter is equidistant fromeach vertex of the triangle.

D. The circumcenter is equidistant from each side of the triangle.

Step-by-step explanation:

The properties of the circumcenter of a triangle from the options given include:

• The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.

• The circumcenter is equidistant fromeach vertex of the triangle.

• The circumcenter is equidistant from each side of the triangle.

Option B is wrong as the circumcenter of an obtuse triangle is not always outside it. For the circumcenter, there is intersection of all the three lines and it's not important that they should always be outside.

Answer:

C is the answer your looking for

Answer:

answer is 6.

Step-by-step explanation:

the base as 4 in. times the height as 3in. divided by 2= 6in.

Answer:

838 ÷ 17 = 49.29 feet each

Step-by-step explanation:

divide the total rope by number of hikers equals amount of rope each hiker will receive.

w = l - 3

w = 9 - 3

w = 6

//

l = 9

w = 6

//

p = 2(9) + 2(6)

p = 30

Answer:

the  number of fluids ounces in 9 cups is 72 fluid ounces

Step-by-step explanation:

The computation of the number of fluids ounces in 9 cups is shown below:

As we know that

In 1 cup = 8 fluid ounces

So for 9 cup it is

= 9 × 8

= 72 fluid ounces

hence, the  number of fluids ounces in 9 cups is 72 fluid ounces

............................................9

Answer:

3(x - 2)² - 17

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square.

Given

3x² - 12x - 5 ← factor out 3 from the first 2 terms

= 3(x² - 4x) - 5

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 4x

= 3(x² + 2(- 2)x + 4 - 4 ) - 5

= 3(x - 2)² - 12 - 5

= 3(x - 2)² - 17 ← in vertex form

Step-by-step explanation:

[tex] \sin(x) = \frac{15}{17} = \frac{23 + c}{34} \\ 34 \times 15 = 17(23 + c) \\ 510 = 391 + 17c \\ 17c = 119 \\ c = 7[/tex]

[tex] \sin (y) = \frac{7}{25} \\ y = 16.26 \\ \cos(16.26) = \frac{ \alpha }{25} \\ 0.96 = \frac{ \alpha }{25} \\ \alpha = 24 [/tex]

[tex] \cos(y) = \frac{24}{25} [/tex]

Answer:

126

Step-by-step explanation:

Step-by-step explanation:

When b = 5 Then

6( 2b - 4)

= 6 ( 2 *5 - 4)

= 6 ( 10 - 4)

= 6 * 6

= 36

Hope it will help :)

Divide each term by  

4

and simplify.

Inequality Form:

r ≤ 3

Interval Notation:

( − ∞ , 3 ]

Answer:

345 yards.

Step-by-step explanation:

4800/16 = 300

300 increase 15% =

300 × (1 + 15%) = 300 × (1 + 0.15) = 345

Answer:

76

2 real solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Standard Form: ax² + bx + c = 0

Discriminant: b² - 4ac

Step-by-step explanation:

Step 1: Define

x² - 6x - 10 = 0

Step 2: Identify Variables

Compare quadratic.

x² - 6x - 10 = 0 ↔ ax² + bx + c = 0

a = 1, b = -6, c = -10

Step 3: Find Discriminant

This tells us that our quadratic has 2 real solutions.

Answer: There are a total of 66 conversations.

Step-by-step explanation:

Ok, we have 12 members.

let's call them:

member 1, member 2, member 3, etc...

Let's assume that member 1 starts talking to the others, then he talks to:

member 2, member 3, member 4, etc.

So member 1 talks to the other 11 members.

We have already 11 conversations.

Now let's count the conversations of member 2.

He talks to member 1, member 3, etc.

But the conversation between member 1 and member 2 was already counted, so we do not count it this time, then here we have other 10 conversations.

now for member 3. He talks with member 1, member 2, member 4, member 5, etc...

But conversations between member 1 and member 3, and member 2 and member 3 are already counted, so here we have 9 new conversations.

We already can see the pattern here.

For each new member that we count, the number of conversations is one less than for the previous member.

The total number of conversations will be:

11 + 10 + 9 + 8+ 7 + 6+5 + 4 + 3+ 2+ 1 = 66

Answer:

x=10

Step-by-step explanation:

7x+70=16x-20

70=9x-20

9x=90

x=10