A rectangular fence is to a total perimeter of 200 feet. If the length is twice the width, find the measurements of the length and width of the rectangular fence.

Answer:A) 24 waysB) 4 waysStep-by-step explanation:a) permutation occurrs when order of choices matters.N = 4P3 = 4!/(4-3)! = 4!/1!N = 24 waysb) combination occurs when order of choices doesn't matter.N = 4C3 = 4!/3!(4-3)! = 4!/3!(1!)N = 4 ways

Step-by-step explanation:

a) permutation occurrs when order of choices matters.N = 4P3 = 4!/(4-3)! = 4!/1!N = 24 waysb) combination occurs when order of choices doesn't matter.N = 4C3 = 4!/3!(4-3)! = 4!/3!(1!)N = 4 ways(hope this helps:)

Answer:

569 millimetres because 290 +36 ml is 569

Answer:

4387.63

Step-by-step explanation:

Answer:

28 as a fraction would be written as 56/2.

Step-by-step explanation:

The fraction can be written as 7/25.

Explanation:

Given Input Value = 28%

Place the Percentage Value at the top over 100. = 28/100

The given fraction is 28/100.

On reducing the fraction, we get the exact form 28/100. = 7/25

The exact form of the fraction is 7 /25.

Answer:

A.

Step-by-step explanation:

it’s add 6 because, 6 + 7 = 13 and 13 + 6 = 19 and it keeps on continuing this is how I know I am correct.

Answer:

the answer is A) Add 6

Step-by-step explanation:

you add so 7 plus 6 is 13 and 13 plus 6 is 19 and so it continues

hope this helps!!

Answer: HEYAA :))

I THINK YOUR ANSWER IS x≤13

Step-by-step explanation:

Solve for x by simplifying both sides of the inequality, then isolating the variable.

HOPEFULLY THIS HELPS YOOUUU

- MATTHEW ~^^

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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

             Simplify -4+x≤9.

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

      ❖ Add 4 on both sides:-

x≤9+4

x≤13

  ✯ So the values of x less than or equal to 13 will make this inequality true.

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Answer: [tex]y=\log(x-1)-2[/tex]

Answer:

91/20 or 4 11/20

Step-by-step explanation:

First, convert the 2 amounts into improper fractions

Red: 21 4/5 = 114/5

Purple: 18 1/4 = 73/4

Then, using cross multiplication, you can give them the same denominator

Red: 114/5 = 456/20

Purple: 73/4 = 365/20

Then just subtract the numerators and keep the denominator

456/20 - 365/20 = 91/20

So your answer is

91/20 or 4 11/20

Answer:

Step-by-step explanation:

Solution

The question is a bit obscure. The best choice I think, would be A. F(x) could equal something like y = x - 3. When y = 0, x = 3 or put the other way, when x = 3 y= 0.

The sum of the first 14 terms of the finite geometric series 0.5+ (-1) +2+... is -2730.5

The series is given as:

0.5+ (-1) +2+...

The above series is a geometric series, with the following parameters:

The sum of the first 14 terms is calculated using:

[tex]S_n= a *(1 - r^n) \div (1 - r)[/tex]

So, we have:

[tex]S_{14}= 0.5 *(1 - (-2)^{14}) \div (1 + 2)[/tex]

Evaluate

[tex]S_{14}= -2730.5[/tex]

Hence, the sum of the series is -2730.5

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Answer:

1) 45

2) 6x^2-4xy+10y^2

Step-by-step explanation:

1) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine (a) f(-2, 3)

Replace a with (-2) and b with (3):

3(-2)^2-2(-2)(3)+5(3)^2

3(4)-2(-6)+5(9) *Took care of exponents and performed some multiplication in the middle term.

12-12+45 *performed more multiplication

0+45 *additive inverses property applied

45 *performed some addition

2) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine f(x+y, x-y)

Replace a with (x+y) and b with (x-x-y):

3(x+y)^2-2(x+y)(x-y)+5(x-y)^2

*Explained binomial squares

3(x^2+2xy+y^2)-2(x+y)(x-y)+5(x^2-2xy+y^2)

*Expand product of the sum of two numbers with the difference of said numbers

3(x^2+2xy+y^2)-2(x^2-y^2)+5(x^2-2xy+y^2)

*Distribute

3x^2+6xy+3y^2-2x^2+2y^2+5x^2-10xy+5y^2)

*Combine like terms

6x^2-4xy+10y^2

Answer:

2.5

Step-by-step explanation:

The radius of a cylinder formula is

Plug in

So . .

R = 2.5

( I rounded to the tenth decimal place so you know!)

Answer:

What is the normal rate of return?

Normal rate of return . ' means the average rate of return that a firm would receive in an industry when conditions of perfect competition prevail.

Step-by-step explanation:

Answer:

3/2    or   1.5

Step-by-step explanation:

(-3/8) ÷ (-1/4)

Copy dot flip

=(-3/8)* (-4/1)

=12/8

=3/2    or 1.5

Correct option is A)

Consider the given equation,

3

2x

+10.3

x

−9=0

Let ,y=3

x

Now ,

y

2

−10y+9=0

y

2

−9y−y+9=0

y(y−9)−1(y−9)=0

(y−9)(y−1)=0

When,

x−9=0

x=9

Now ,

9=3

x

3

2

=3

x

x=2

When,

y−1=0

y=1

3

x

=1

3

x

=3

0

x=0

x=0,x=2

This is the answer

Answer:

25

Step-by-step explanation:

[2 x (10+5)] - 5

[2 x (15)] - 5

[30] - 5

25

Answer:

She had a total of 80 throws.

Step-by-step explanation:

4x20 (20x5%=100%) = 80, so she had 80 throws.

Answer: Choice A

40.61 square meters

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

Explanation:

The area of a full circle is

A = pi*r^2

meaning half of it (aka semicircle) will have this area

A = 0.5*pi*r^2

The diameter of the semicircle is 5.4 meters, which divides in half to get the radius of r = 2.7

The semicircle has an area of...

A = 0.5*pi*r^2

A = 0.5*3.14*(2.7)^2

A = 11.4453

which is approximate since pi = 3.14 is approximate.

Now compute the area of the triangle

area = base*height/2 = 5.4*10.8/2 = 29.16

Then add those sub-areas to get the grand total area.

semicircleArea + triangleArea = 11.4453+29.16 = 40.6053

That rounds to 40.61 which shows why choice A is the answer.

Answer:

[tex]a_n=3(-3)^{n-1}[/tex]

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

where:

Given:

To find the common ratio r, divide consecutive terms:

[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{-9}{3}=-3[/tex]

Therefore, the equation is:

[tex]a_n=3(-3)^{n-1}[/tex]

The number of red balls to the number of green balls is 3 : 2

The distribution of the balls is given as:

6 red, 4 green, 2 yellow and 3 blue balls

The number of red balls to the number of green balls is represented as:

Ratio = Red : Green

So, we have:

Ratio = 6 : 4

Simplify

Ratio = 3 : 2

Hence, the number of red balls to the number of green balls is 3 : 2

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Answer:

Picture Below :)

Step-by-step explanation:

*ta da*

- Have a great day -

Answer:

h(x) = x³ + 4x² - 49x - 196

Step-by-step explanation:

h(x) = (x² - 49)(x + 4) <== distribute

h(x) = x²(x) - 49(x) + x²(4) - 49(4)

h(x) = x³ - 49x + 4x² - 196 <== rewrite in standard form (descending degrees)

h(x) = x³ + 4x² - 49x - 196

Hope this helps!

Answer:

65 cents

Step-by-step explanation:

5 + 1 + .30 = 6.30

6.95 - 6.30 = .65

Answer:

26 cm

Step-by-step explanation:

Formula for Perimeter

Solving (given Perimeter is 84 cm and width is 16 cm)

Answer:

L= 26cm

Step-by-step explanation:

Perimeter= 2(l x w)

Perimeter= 84cm

Width= 16cm

Length=?

84= 2l + 32

2l = 84-32

2l= 52

L= 52/2

L= 26cm

To solve this problem, we have to find the area of the semi circles and the area of the rectangle and add them up together.

The area of the field is equal to 8719.36m^2

Let us start by finding the area of the rectangle.

Data;

Area of a rectangle is given as

[tex]a = length * width \\a = 86 * 64\\a = 5504m^2\\[/tex]

The area of the rectangle is 5504m^2

Area of the semicircle

The formula of a semi circle is given as

[tex]A = \frac{1}{2} \pi r^2[/tex]

But since we have two semi circles here, we can simply multiply it by two and the formula becomes

[tex]A = 2 * \frac{1}{2} \pi r^2\\A = \pi r^2[/tex]

But in the question, we have the diameter of the semi circle as the length of the rectangle.

[tex]radius = \frac{diameter}{2} \\radius = \frac{64}{2} \\radius = 32m[/tex]

The radius of the semicircle is 32m

Area of the semicircle is

[tex]A = \pi r^2\\A = 3.14 * 32^2\\A = 3215.36m^2[/tex]

The area of the field is

[tex]area of field = 3215.36 + 5504\\area = 8719.36m^2[/tex]

The area of the field is equal to 8719.36m^2

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[tex]\textsc{heya!}[/tex]

☑︎  what we need to do:

☑︎ what we are provided with:

[tex]\textsc{solution:}[/tex]

[tex]\textsc{explanation:}[/tex]

first, these are the points on our line:

• (-2, 10) • (4, -8)

what we need at this moment is the gradient (slope) of the line.

remember, there's a little formula that will help us find the gradient:

[tex]\large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]

our values are:

• (-2, 10) and (4, -8)

after substituting the values into the above formula, we obtain

[tex]\large\text{$\displaystyle\frac{-8-10}{4-(-2)}$}[/tex]

after simplifying, we obtain

[tex]\large\text{$\displaystyle\frac{-18}{4+2}$}[/tex]

simplifying more,

[tex]\large\text{$\displaystyle\frac{-18}{6}$}[/tex]

dividing,

[tex]\large\text{$-3$}[/tex]

but that's only part of our problem. we need to find the equation, and we have the gradient only.

let's use the first point in our equation

• (-2, 10)

m is the gradient.

this is what we obtain after substituting the values

[tex]\large\text{$y-10=-3(x-(-2)$}[/tex]

simplifying

[tex]\large\text{$y-10=-3(x+2)$}[/tex]

simplifying more

[tex]\large\text{$y-10=-3x-6$}[/tex]

moving 10 to the right side

[tex]\large\text{$y=-3x-6+10$}[/tex]

and finally

[tex]\large\text{$y=-3x+4$}[/tex]

[tex]\textsc{hopefully\:helpful}[/tex]

by:    • [tex]\textsc{$d^an_ci^ng$}[/tex]

[tex]\textsc{have\:a\:great\:rest\:of\:your\:day\:ahead!}[/tex]

Answer:

312cm2

Step-by-step explanation:

16*12=192

10*6/2=30

30*4=120

192+120=312