I need to buy enough fencing to go all around my rectangular garden. The garden is 20m long and 5m wide. How many meters of fencing will I need?

I need explanation with answer
Thank you!​

Answer:

Sequence number is a list of numbers that are linked by rule.

5 cm or 29 cm

Step-by-step explanation:

Let x length is cut off from each measurements.

Thus, the new measurements would be: 20 - x, 41 - x, 44 - x, which forms the sides of a right triangle.

Here, (44 - x) will be hypotenuse and (20 - x) and (41 - x) will be perpendicular legs of the triangle.

Therefore, by Pythagoras theorem:

[tex] {(41 - x)}^{2} + {(20 - x)}^{2} = {(44 - x)}^{2} \\ \\ \therefore \: {(41)}^{2} - 82x + {x}^{2} + {(20)}^{2} - 40x + {x}^{2} \\ = {(44)}^{2} - 88x + {x}^{2} \\ \\ \therefore \: 1681 - 122x + 2 {x}^{2} + 400 \\ = 1936 - 88x + {x}^{2} \\ \\ \therefore \: 2081 - 122x + {x}^{2} = 1936 - 88x \\ \\ \therefore \: {x}^{2} - 122x + 88x + 2081 - 1936 = 0 \\ \\ \therefore \: {x}^{2} - 34x + 145 = 0 \\ \\ \therefore \: {x}^{2} - 29x - 5x+ 145 = 0 \\ \\ \therefore \: x(x - 29) - 5(x - 29) = 0 \\ (x - 5)(x - 29) = 0 \\ x - 5 = 0 \: or \: x - 29 = 0 \\ \\ \therefore \: x = 5, \: 29[/tex]

So, the length that is cut off will be either 5 cm or 29 cm.

The answer you are looking for is letter A, x=30.

Solution/Explanation:

First, write out the equation,

1200-5(3x+30)=600

Next, using the Distributive Property,

1200-15x-150=600

Simplify the left side of the equation just a little bit more,

1050-15x=600

Reverse order of terms on the left side, to make it a little bit easier to solve,

-15x+1050=600

Now, subtract 1050 from both sides,

-15x+1050-1050=600-1050

Now, simplify this part of the equation,

-15x=-450

Finally, divide both sides by -15,

So, therefore, the final answer is x=30.

I hope this helped you. Enjoy your day, and take care!

Answer:

Step-by-step explanation:

[tex]G.M.=\sqrt{\frac{5}{6} \times \frac{1}{2} } =\sqrt{\frac{5}{12} }[/tex]

Answer: C; 12 miles

Solution:

1) Add the initial Uber cost ($15) and airport toll charge:

$22.95

2) Subtract 22.95 from 45.84

$22.89 to spend on miles

3) Divide 1.84 (cost per mile) from 22.89

≈ 12.44 miles

Round down to 12 miles or option C

There is no a that will make f(x) continuous.

No matter what value of a you pick, you will always have the one-sided limits,

[tex]\displaystyle \lim_{x\to a^-}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]

[tex]\displaystyle \lim_{x\to a^+}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]

but f(a) = 8 regardless of a.

jhnskkakskjsmznznsnjismkznms

The correct representation is (5-2)÷n

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Expression Definition in Math

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

According to the question

2 less than 5 = 5-2

then the answer must be divided by n

=( 5-2)/n

Hence, the correct representation is (5-2)÷n.

Learn more about expression here:

https://brainly.com/question/14083225

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Answer:

To find the surface area of a cylinder you need a specific formula.

The formula to finding the surface area is

[tex]A=2\pi rh+2\pi r^2[/tex]

2 x pi x 7 + 2 x pi x 4 squared

144.513262065 would be the specific answer.

Answer:

-12 & -18

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x ∠ -10

Step-by-step explanation:

Answer:

[tex]x>-10[/tex]

Step-by-step explanation:

[tex]\frac{x}{-2} -3>2[/tex]

[tex]\frac{x}{-2} > 5[/tex]

[tex]x=-2[/tex] × [tex]5[/tex]

[tex]x>-10[/tex]

Answer:

Step-by-step explanation:

a + 45 + 70 = 180             45 becomes an interior angle by being opposite a given vertically opposite angle.

a + 115 = 180                      Subtract 115 from both sides

a = 65

b + 68 + 65 = 180            A straight line is 180 degrees.

b +  133 = 180

b = 180 - 133

b = 47

In the triangle b + c + 100 = 180

b = 47

47 + c + 100 = 180

147 + c = 180

c = 33

If C is an exterior angle then C + 33 = 180

C = 147

You have to decide whether c is an interior angle ( in which it is 33) or an exterior angle (in which case it is 147).

Answer:

Sunil = 3000 and raj = 2000

Step-by-step explanation:

there are total 5000 and if it will be divided into 5 parts( total of ratio ) then 3 will be equal to 3000 and 2 equal to 2000

Answer:

is it 15.8

Step-by-step explanation:

Answer:

I think that the answer is 1 to1

Answer:

x = 6

Step-by-step explanation:

The isosceles triangle is divided into two forming two right triangles

in right triangles the square value of hypotenuse is equal to sum of other two side lengths

x^2 + 4^2 = 52

x^2 + 16 = 52 subtract 16 from both sides

x^2 = 36 find the root for both sides

x = 6

Answer:

2.8

Step-by-step explanation:

use the distance formula in the picture:

[tex]\sqrt{(-1-(-3))^2+((-1)-1)^2} = \sqrt{2^2+(-2)^2} = \sqrt{4+4} = \sqrt{8} = 2\sqrt{2} = 2.8284[/tex]

Answer:

AB ≈ 2.8

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A (- 3, 1) and (x₂, y₂ ) = B (- 1, - 1)

d = [tex]\sqrt{(-1-(-3))^2+(-1-1)^2}[/tex]

  = [tex]\sqrt{(-1+3)^2+(-2)^2}[/tex]

  = [tex]\sqrt{2^2+4}[/tex]

  = [tex]\sqrt{4+4}[/tex]

  = [tex]\sqrt{8}[/tex]

  ≈ 2.8 ( to the nearest tenth )

The new coordinates are ( -3 , -6) , Option B is the answer.

Reflection means to create a mirror image of an object along any axis .

The shape and size of the object remains constant while reflection.

An object of coordinate ( -3 ,6) is given

This is reflected in the x axis .

When an object is reflected along any axis , the coordinate of that axis remains the same while the coordinate of the other changes to its additive inverse .

object  ( -3 ,6) is reflected along x axis ,

( x, y) ----> ( x , -y)

The new coordinates are ( -3 , -6)

Therefore Option B is the answer.

To know more about Reflection

https://brainly.com/question/15487308

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Answer:

rational is the answer....

Math seems difficult because it takes time and energy. Many people don't experience sufficient time to "get" math lessons, and they fall behind as the teacher moves on.

Answer:

D

Step-by-step explanation:

for you to find x you first have to find the adjacent of the 45° angle you can do that by using the other triangle.using the sin ratio

sin60=opposite/hypotenuse

sin60=a/7√3

a=10.5

then after you have found the adjacent you can use the cos ratio

cos45=adjacent/hypotenuse

cos45=10.5/x

cos45x/cos45=10.5/cos45

x=14.849

which is the same as 21√2 over 2

I hope this helps

Answer:

D

Step-by-step explanation:

Using sine ratio in left right angled triangle to find the altitude a of the large triangle which is common to both right triangles and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{7\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2a = 21 ( divide both sides by 2 )

a = [tex]\frac{21}{2}[/tex]

Using the cosine ratio in the right side triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{a}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = [tex]\sqrt{2}[/tex] a = [tex]\sqrt{2}[/tex] × [tex]\frac{21}{2}[/tex] = [tex]\frac{21\sqrt{2} }{2}[/tex] → D

Answer:

19/90

Step-by-step explanation:

0.2(1)

We know that most recurring decimals like this have a 9

We know that it can't be anything over 99, or else all digits will repeat:

0.212121....

It will be a number over 90, which will be 19/90

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

y = 3/2 - 4

A. is the answer

A. 3x – 2y = 8

Step-by-step explanation:

3x – 2y = 8

-2y =8 - 3x

y = - 4 + 3/2x

y= 3/2x - 4

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{3}{2}[/tex] and c = - 4 , then

y = [tex]\frac{3}{2}[/tex] x - 4 ← equation in slope- intercept form

Multiply through by 2 to clear the fraction

2y = 3x - 8 ( subtract 2y from both sides )

0 = 3x - 2y - 8 ( add 8 to both sides )

8 = 3x - 2y , that is

3x - 2y = 8 ← in standard form → D

Answer:

Hello,

Step-by-step explanation:

The volume of the tank is V, p is number of pipes, t the time, k as constant.

V=k*p*t

V=k*10*16 ==> k=V/160

V=k*8*t

V=V/160*8*t ==>1=8/160*t ==> t=160/8=20

Time to use: 20 min.

Answer:

25

Step-by-step explanation:

f(5)=5(5-1)+5

f(5)=5(4)+5

f(5)=20+5

f(5)=25

Answer:

f(5) = 24

Step-by-step explanation:

f(1) = 4

f(n) = f(n − 1) + 5

Let n = 2

f(2) = f(2 − 1) + 5 = 4+5 = 9

Let n = 3

f(3) = f(3 − 1) + 5 = f(2)+5 = 9+5 = 14

Let n = 4

f(4) = f(4 − 1) + 5 = f(3)+5 = 14+5 = 19

Let n = 5

f(5) = f(5 − 1) + 5 = f(4)+5 = 19+5 = 24

Answer:

Step-by-step explanation:

I may get this wrong because I don't think it's clear enough.

3 Letters

The station call letters must start with 1 of 3 letters

3

The next letter must be one of 25 and the last letter is 24

3 * 25 * 24 = 1800

5 letters

3 * 25 * 24 * 23*  22 = 910800

Total 1800 + 910800 = 912600

Answer:

[tex]9\ days[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\No.\ of\ days\ A\ takes\ to\ complete\ some\ amount\ of\ work=15\ days\\No.\ of\ days\ B\ takes\ to\ complete\ the\ same\ amount\ of\ work=12\ days\\No.\ of\ days\ C\ takes\ to\ complete\ the\ same\ amount\ of\ work\ as\ A\ and\ B\ =20\ days\\[/tex]

[tex]Now,\\We\ can\ say\ that\ an\ object\ has\ to\ complete\ \frac{1}{n}th\ of\ the\\ work\ daily,\ to\ complete\ the\ work\ in\ n\ number\ of\ days.\ This\ is\ however\\ only\ true\ if\ the\ object\ covers\ equal\ amounts\ of\ work\ each\ day.[/tex]

[tex]Here,\\In\ 1\ day,\\A\ would\ cover\ \frac{1}{15}th\ of\ the\ work.\\B\ would\ cover\ \frac{1}{12}th\ of\ the\ work.\\C\ would\ cover\ \frac{1}{20}th\ of\ the\ work.[/tex]

[tex]Now,\\We\ are\ also\ given\ that:\\They\ work\ together\ for\ 2\ days\ on\ the\ same\ work.\\Hence,\\Total\ work\ done\ in\ 1\ day\ by\ A,B\ and\ C=\frac{1}{15}+\frac{1}{12}+\frac{1}{20}=\frac{4+5+3}{60}=\frac{12}{60}=\frac{1}{5}\\Hence, Total\ work\ done\ in\ 2\ days\ by\ A,B\ and\ C=2*\frac{1}{5}=\frac{2}{5}[/tex]

[tex]Hence,\\The\ portion\ of\ the\ total\ work\ left=1-\frac{2}{5}=\frac{5-2}{5}=\frac{3}{5}\\So,\\Since\ A\ has\ to\ complete\ \frac{3}{5}th\ of\ the\ work,\ lets\ compute\ the\ no.\ of\ days\ it\ takes\ to\ do\ so.\\Hence,\\No.\ of\ days\ A\ takes\ to\ complete\ the\ entire\ work=15\ days\\Hence,\\No.\ of\ days\ A\ takes\ to\ complete\ \frac{3}{5}th\ of\ the\ entire\ work=15*\frac{3}{5}=9\ days[/tex]

Answer:

9 days

Step-by-step explanation:

A does in 15days, so A in 1day does 1/15part

B does in 12days, so B in 1day does 1/12part

C does in 20days, so C in 1day does 1/20part

So. A+B+C in 1 day-- 1/15+1/12+1/20=(4+5+3)/60= 12/60=1/5 and in 2days 2/5 part..hence remaining work=1/1–2/5=(5–2) =3/5part.

Now A in 1/15 part takes 1day

So, in 3/5 part 15×3/5 = 9 days.

Answer:

(1,3) is the first point, and (4,0) is the second point

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

i think 13 is the answer seeing that she lost 8 point,gained 5 points and they want you to find the sum of the points she lost and gained.. therefore you add since a sum is an answer you get after adding.

8+5=13

I hope this helps