27. The area of a square plot is 0.0324 hectares. It was fenced using 3
strands of wire. What was the total length of wire used?
O A 72
O 8.144 m
O com
O 0.216​

Answers

Answer 1

Answer: 0.216 km .

Step-by-step explanation:

Given, The area of a square plot is 0.0324 hectares.

Since , 1 hectare =10,000 meters

Then, the area of a square plot = 10,000 x 0.0324

= 324 meters

Area of square = side²

[tex]\Rightarrow\ (\text{side})^2=324\\\\\Rightarrow\ \text{side}=\sqrt{324}=18\ m[/tex]

Perimeter = 4(side) = 4 x 18 = 72 m

Since it  was fenced using 3  strands of wire.

So, Total length of wire used =  3 (Perimeter) = 3 (72)m

= 216 m

Hence, the total length of wire used 216 m.

In km , 216 m = 0.216 km   [ 1 m = 0.001 km]

Hence, the correct option is 0.216 km .


Related Questions

Please help ! Find the probability

Answers

Answer:

.32 or 32%

Step-by-step explanation:

The area of the circle is about 50.27

Given this you can use this to find the area of the triangle and find the precent  of the circle that is shaded:

The area of the triangle is 16

you can divide 16 by 50.27 to see the precntage or propability for the answer

513 to the nearest 100

Answers

Answer:

500

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

find the solution of x and y

Answers

Answer:

x = 1.25, y = 1.75

Step-by-step explanation:

The smaller and larger triangles are similar triangles. (the 2 triangles have the same angles).

We know that the smaller triangle has length 8 for it's bottom side when the larger triangle has length 10. This means the scale factor between the 2 is 10 / 8 which is 1.25. Therefore by multiplying the side lengths of the smaller triangle by 1.25 we get the side lengths of the larger triangle.

5 * 1.25 = 6.25

7 * 1.25 = 8.75

However we don't want the whole side lengths we want x and y, We need to subtract 5 and 7 respectively from the lengths of the larger triangles.

Therefore the lengths must be: 6.25 - 5 = 1.25

and 8.75 - 7 = 1.75

Therefore x and y equal 1.25 and 1.75

While standing in front of the school

Answers

Answer:

Step-by-step explanation:

what do u see!????????

Solve and CHECK the following:

8−(5x−2)=6−2(3x+1)

Answers

Answer:

X=6/11

Step-by-step explanation:

8-(5x-2)=6-2(3x+1)

8-5x+2=6-6x-2

10-5x=4-6x

6=11x

x=6/11

Answer:

8-5x-2=6-6x+2

8-2-6-2=5x-6x

-10+8=-x

-2 =-x

x=2 ........×-1

x=2

Find the volume in cubic meters, of the 3-Dimensional composite
figure.
8m
5m

Answers

Answer:

890 m^3 to the nearest whole number.

Step-by-step explanation:

Volume = volume of the cylinder + volume of the hemisphere:

= π r^2 h + 1/2 * 4/3 π r^3

= π*5^2 * 8 + 1/2 * 4/3  π 5^3

= 890.12

 

10. In a class A of 25 students, 20 passed with 60% or more marks; in another class B of 30 students, 24 passed with 60% or more marks. In which class was a greater fraction of students getting with 60% or more marks?

Answers

Answer:

class b

Step-by-step explanation:

B of 30 students, 24 with a 60 or more marks.

Explaintion

Use the linear combination method to solve this system of equations. What is the value of x? Negative 2.4 x minus 3.6 y = 1.2. 2.4 x + 1.2 y = 1.2. Negative 1 0 1 -4.8

Answers

Answer:

x=1/4

y=1/2

Step-by-step explanation:

Given:

-2.4x+3.6y=1.2

2.4x + 1.2y=1.2

-2.4x+3.6y=1.2

Divide through by 1.2

-2x+3y=1

2.4x + 1.2y=1.2

Divide through by 1.2

2x+y=1

-2x+3y=1 (1)

2x+y=1 (2)

From 2

y=1-2x

Substitute y=1-2x into (1)

-2x+3y=1

-2x+3(1-2x)=1

-2x+3-6x=1

-8x=1-3

-8x=-2

Divide both sides by -8

x=1/4

Substitute x=1/4 into (2)

2x+y=1

2(1/4)+y=1

2/4+y=1

1/2+y=1

y=1-1/2

y=1/2

x=1/4

y=1/2

Answer:

x=1

Step-by-step explanation:

edge 2021

Jackson is running a 10-mile race. He runs 1 mile every 8 minutes. Jackson's distance from this finish line after x minutes is represented by the function x+8y=80

Answers

Answer:

Jackson's distance from the finish line after x minutes will be given as;

since from the statements we know that x represents the number of minutes he had run, for us to be able to calculate his  distance from the finish line we simply solve the problem mathematically as follows;

x=80-8y

Step-by-step explanation:

from the initial representation we have x+8y=80,

from the preliminary statement we know x to be the number of minutes from the start of the race to the current point Jackson.

so we assume that y in the equation represents the number of distance covered by the x minutes in miles.

that is how we end up with ;

x=80-8y.

The value of 3x+2 is 9 plus twice the value of x+5. What is x?

Answers

Answer:

17

Step-by-step explanation:

3x+2 = 9 + 2(x+5)

3x + 2 = 9 + 2x + 10

3x + 2 = 2x + 19

x = 17

Answer:

[tex]\huge\boxed{x=17}[/tex]

Step-by-step explanation:

[tex]3x+2=9+2(x+5)\qquad\text{use the distributive property}\\3x+2=9+(2)(x)+(2)(5)\\3x+2=9+2x+10\\3x+2=2x+19\qquad\text{subtract 2 from both sides}\\3x+2-2=2x+19-2\\3x=2x+17\qquad\text{subtract}\ 2x\ \text{from both sides}\\3x-2x=2x-2x+17\\x=17[/tex]

My age if I am half as old as two more than twice Mack's age if Mack is m years old.

Answers

Answer:

You are m + 1 years old.

Step-by-step explanation:

Let's say that you are x years old, and Mack is m years old.

x = 1/2( two plus twice m)

x = 1/2(2 + 2m)

x = 1 + m

x = m + 1

Hope this helps!

Human is correct , good job human c:

2/3 of 27 equal 25% of a number

Answers

Answer:

The number is 72

Step-by-step explanation:

2/3*27 = 2*9 = 18

so 18 = 25%

25% = 1/4

so 1/4 = 18/?

so ? = 18*4 = 72

Answer:

x=72

Step-by-step explanation:

This is an easy equation.

2/3*27=25/100x

solve.

2/3 * 27 is 18

18=25/100x

Divide. (25/100 can be converted to 1/4

Divide 18 by 1/4x

x=72!

Cheers, I hope you can understand.

Because 10 is a multiple of 90

Answers

Answer: 10 is a multiple of 90

Step-by-step explanation:

90/10 = 9.  Because 9 is a whole number, 10 is a factor of 90, and 90 is a multiple of 10.

Hope it helps <3

Answer:

Step-by-step explanation

:

Why is 10 a multiple of 90?

simply

10 · 9 = 90

first correct answer gets best marks​

Answers

Answer:

option three!!!!!

Step-by-step explanation:

its closed circle

on 6

and pointing  left

Which of the following best describes the relationship between (x-3) and the
polynomial x2 + 4x2 + 2?
A. It is impossible to tell whether (x-3) is a factor.
B. (x-3) is a factor
C. (x-3) is not a factor.

Answers

Answer:

C

Step-by-step explanation:

If (x - 3) is a factor of the polynomial then evaluating the polynomial for x = 3 should give a result of zero, that is

3² + 4(3)² + 2 = 9 + 36 + 2 = 47 ≠ 0

Thus (x - 3) is not a factor → C

origin is the corner of square whose one side is 3 X + 4 Y + 5 = 0 find its area.
options:
a.1
b.2
c.3
d.4

Answers

Answer:

The correct option is;

a. 1

Step-by-step explanation:

Given that the origin (0, 0) is the corner of the square

The equation of one of the sides = 3·X + 4·Y + 5 = 0

Therefore, we have;

Y = -3/4·X - 5/4

Which gives the slope as -3/4 and the y-intercept as (0, -5/4)

The sloe of the perpendicular side from the origin to the given line is therefore = -(1/(3/4)) = 4/3

The y-intercept of the current particular perpendicular side = 0

The equation is therefore;

y = 4/3·x + 0

The coordinate of the point of intersection of the two sides of the square above is found by equating the two lines to each other as follows;

4/3·x = -3/4·X - 5/4

4/3·x + 3/4·X = -5/4

25/12·X = -5/4

X = -5/4×12/25 = -3/5

Y = 4/3·x = 4/3× (-3/5) =-4/5

The length of a side = √((-3, 5) - 0)² + ((-4, 5) - 0)² = √1 = 1

The area of a square = (Length of side) × (Length of side)

∴ The area of the square = 1 × 1 = 1

The area of the square  = 1.

How many x-intercepts does the graph of y=2x^2-8x+15 have?

Answers

The graph of y=2x^2-8x+15 has no x-intercepts.

Which two of the following numbers round to 752.3 if we're rounding to the nearest tenth? Choose 2 answers: a 752.32 b 752.27 c 752.36

Answers

A, B is the answer..................

Answer:

its A and C

Step-by-step explanation:

Just because...........

Find the slope and y-intercept of the following graph.

Answers

Answer: y = -5*x + b

Step-by-step explanation:

A line is written as:

y = a*x + b

where a is the slope and b is the y-intercept.

IIf we have a line that passes through the points (x1, y1) and (x2, y2) then the slope of the line is:

a = (y2 - y1)/(x2 - x1)

In this case we can see that the line passes through the points:

(0, 2) and (1, - 3)

Then the slope is:

a = (-3 - 2)/(1 - 0) = -5

Then our line is:

y = -5*x + b

And when x = 0, y = 2 then:

y = 2 = -5*0 + b

2 = b

Our line is:

y = -5*x + b

The shortest side of a triangle is 12cm and the area of the triangle is 8 square cm. A similar triangle has an area of 18 square cm. Calculate the shortest side of this triangle

Answers

Answer:

27cm

Step-by-step explanation:

Given the following :

Triangle A:

Shortest side = 12cm

Area of triangle = 8cm^2

Triangle B:

shortest side =?

AREA of triangle = 18cm^2

If triangle A and B are similar :.

Area A / Area B = Length A / length B

8cm^2 / 18 = 12 / length B

Cross multiply :

8cm * Length B = 18 × 12

Length B = 216 / 8

Length B = 27

Therefore, the shortest of the other triangle IS 27cm

Answer:

its A C and E hope this helps

Step-by-step explanation:

A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check. 8 children and 32 adults 9 children and 31 adults 10 children and 30 adults 12 children and 28 adults

Answers

Answer:

x=8 number of children

y=32 number of adults

Step-by-step explanation:

x be children and y for adults

x+y=40 ⇒ y=40-x

11x+20y=728 solve by substitution of y=40-x

11x+20(40-x)=728

11x+800-20x=728

-9x=728-800

x=72/9 ⇒ x=8 number of children

y=40-x

y=40-8⇒ y=32 number of adults

Banita has a piece of string that is One-tenth times 7 inches long. Which fraction is equal to the length of Banita’s string?

Answers

Answer: The length is 7/10 inches.

Step-by-step explanation:

So if is says that the string is  1/10 times 7 inches long, then it represents the length of the string.

So  L = [tex]\frac{1}{10}*7[/tex]  

     L = 7/10

Answer:

l=7/10

Step-by-step explanation:

A new parking lot is being built for a medical office. The expression representing the number of parking spots in the new lot is 15 x over 4 minus 9, where x represents the number of parking spots in the first row. How many spots are in the parking lot if there are 32 parking spots in the first row? 79 88 111 129

Answers

Answer: 111

Step-by-step explanation:

[tex]\frac{15}{4} x - 9[/tex]   is the expression and we know that x is the number of parking spots in the first row. The plot in 32 for x and solve.

[tex]\frac{15}{2} (32) - 9[/tex]    

120 - 9 = 111

Answer:

sorry for the late answer

Step-by-step explanation: its c : 111

HELPPP PLSSS Write the equation of the arithmetic sequence defined by a1 = 3 and a4 = 0. (Type your answer in the form an= and please do NOT use spaces.)

Answers

Answer:

[tex]a_n=4-n[/tex]

Step-by-step explanation:

Recall the definition of the general nth term of an arithmetic sequence of common difference "d":

[tex]a_n=a_1+(n-1)\,d[/tex]

we can use this formula to find the common difference knowing the first and fourth terms, and then write the general form for the sequence:

[tex]a_n=a_1+(n-1)\,d\\0=3+(4-1)\,d\\0=3+3\,d\\0-3=3\,d\\d=-1[/tex]

Then the general form for the nth term of this sequence is:

[tex]a_n=3+(n-1)\,(-1)\\a_n=4-n[/tex]

Find m∠ABC__________

Answers

Answer:

ill help!

Step-by-step explanation:

find angle CBD

once you find that angle subtract it from 90 because that is the measure of ABC which is a right angle. Because all right angles are 90 degrees you can prove that it is the difference from angle CBD and 90.

hope it helped have good one!

x =
117
124
107
102
145
Hint: Sum = (n-2)180
Enter

Answers

Answer:

x = 125°

Step-by-step explanation:

The given polygon is a hexagon with 6 sides.

The sum of the interior angles for any given polygon = (n - 2)180, where n is the number of sides of the polygon.

Therefore:

[tex] x + 117 + 124 + 102 + 145 + 107 = (6 - 2)180 [/tex]

[tex] x + 595 = (4)180 [/tex]

[tex] x + 595 = 720 [/tex]

Subtract both sides by 595 to solve for x:

[tex] x + 595 - 595 = 720 - 595 [/tex]

[tex] x = 125 [/tex]

x = 125°

What is the length of leg y of the right triangle?
84
85
O1
09
O 13
O 26

Answers

Answer:

[tex] \boxed{\sf Length \ of \ leg \ y = 13} [/tex]

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.

[tex] \therefore \\ \sf \implies {84}^{2} + {y}^{2} = {85}^{2} \\ \\ \sf {84}^{2} = 7056 : \\ \sf \implies 7056 + {y}^{2} = {85}^{2} \\ \\ \sf {85}^{2} = 7225 : \\ \sf \implies 7056 + {y}^{2} = 7225 \\ \\ \sf Substract \: 7056 \: from \: both \: sides : \\ \sf \implies (7056 - 7056) + {y}^{2} = 7225 - 7056 \\ \\ \sf 7056 - 7056 = 0 : \\ \sf \implies {y}^{2} = 7225 - 7056 \\ \\ \sf 7225 - 7056 = 169 : \\ \sf \implies {y}^{2} = 169 \\ \\ \sf 169 = {13}^{2} : \\ \sf \implies {y}^{2} = {13}^{2} \\ \\ \sf \implies y = \sqrt{ {13}^{2} } \\ \\ \sf \implies y = {13}^{ \cancel{2} \times \frac{1}{ \cancel{2}} } \\ \\ \sf \implies y = 13 [/tex]

So,

Length of leg y of the right triangle = 13

Answer : 13

EXPLANATION:

(Using Pythagoras Theorem)

c^2 - a^2 = b^2
85^2 - 84^2 = b^2
7225 - 7056 = b^2
169 = b^2
√169 = b
b= 13

I HOPE THIS HELPED:)

The real numbers $x$ and $y$ are such that \begin{align*} x + y &= 4, \\ x^2 + y^2 &= 22, \\ x^4 &= y^4 - 176 \sqrt{7}. \end{align*}Compute $x - y.$

Answers

You get everything you need from factoring the last expression:

[tex]x^4-y^4=-176\sqrt7[/tex]

The left side is a difference of squares, and we get another difference of squares upon factoring. We end up with

[tex]x^4-y^4=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)[/tex]

Plug in everything you know and solve for [tex]x-y[/tex]:

[tex]-176\sqrt7=(x-y)\cdot4\cdot22\implies x-y=\boxed{-2\sqrt7}[/tex]

Answer:

-2sqrt(7)

Step-by-step explanation:

Solution:

From the third equation, $x^4 - y^4 = -176 \sqrt{7}.$

By difference of squares, we can write

\[x^4 - y^4 = (x^2 + y^2)(x^2 - y^2) = (x^2 + y^2)(x + y)(x - y).\]Then $-176 \sqrt{7} = (22)(4)(x - y),$ so $x - y = \boxed{-2 \sqrt{7}}.$

Mr. SMITH had 4 daughters, each daughter had a brother ... How many sons does Mr. Smith have?

Answers

He tells us that the 4 daughters have a brother, so, since they belong to the same family, the sisters are the same because they have only one brother.

Answering our question:

or Mr. Smith has 4 daughters and also 1 son.

Answer:

one son

Step-by-step explanation:

each daughter had a brother, means there is only one son

Mr. smith has 1 son

What is the volume of a cone when the radius is 6 and the height is 13

Answers

Answer:

489.84 units³

Step-by-step explanation:

Given,

Radius ( r ) = 6

Height ( h ) = 13

Volume of cone = ?

Now, Let's find the volume of cone:

[tex] = \pi \: {r}^{2} \frac{h}{3} [/tex]

plug the values

[tex] = 3.14 \times {6}^{2} \times \frac{13}{3} [/tex]

Evaluate the power

[tex] = 3.14 \times 36 \times \frac{13}{3} [/tex]

Calculate

[tex]489.84[/tex] units³

Hope this helps..

Best regards!!

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