An architect is making a plan for a new circular playground. If the picture below is the
playground, how much fencing needs to go up to
keep the kids in the circle?

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Answer:

isabel saves the most of their salary each month

Step-by-step explanation:

Let us assume the Salary of Gavin, Harry & Isabel be $100

Since

Gavin saves 28%

So his saving amount is Gavin

= 28% of $100

= $28

As harry spends 3 ÷ 4 of his salary

So Harry Spenings is

= (3  ÷ 4) of $100

= $75

Now

Harry Saving is

= $100 - $75  

= $25

Also the ratio between isabel saves, and spend is 3:7

3k + 7k = 10k = 100S

 k = $10

Now

the amount of salary isabel saves

= 3k

= 3 × $10

= $30

Now

$30 > $28 > $25

i.e.

isabel Saving >  Gavin Savings > Harry Savings

Hence, isabel saves the most of their salary each month

Given:

Point on straight line = (-6,4)

Gradient = -2

To find:

The equation of the line.

Solution:

Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,4) with slope -2. So, the equation of the line is:

[tex]y-4=-2(x-(-6))[/tex]

[tex]y-4=-2(x+6)[/tex]

[tex]y-4=-2x-12[/tex]

Adding 4 on both sides, we get

[tex]y-4+4=-2x-12+4[/tex]

[tex]y=-2x-8[/tex]

Therefore, the equation of the line is [tex]y=-2x-8[/tex].

Answer:

a) 1/10

b) 110

Step-by-step explanation:

A) we start by getting the total number of rolls

That would be;

11 + 22 + 7 + 8 + 13 + 19 = 80

The frequency of getting a 4 is 8

The probability that the next roll will be a 4 is;

8/80 = 1/10

b) Firstly, we get the probability of getting a 2

We have this as:

22/80

So for 400 rolls, the number of 2’s will be;

22/80 * 400

= 22 * 5 = 110

Answer:

3x^3-2x^2-4x+2( option A) remainder= 7

Step-by-step explanation:

Answer: what the question

Step-by-step explanation:

Answer:

The original price of the books were $9.

Step-by-step explanation:

%100 - %30 = %70

%70 = 0.7

$6.30 ÷ 0.7 = $9

Answer:

you can shorten it by putting 4 to the power of 5. (put a little 5 atop the 4.)

Step-by-step explanation:

like this

Answer:

the line is in the grass because it divides and reflects the sky and mountain.

Answer:

The line of reflection in the picture above is on the x-axis.

Step-by-step explanation:

The line of reflection is the mirror line; the line across which a figure is "flipped" and in this case, the line of reflection is on the x-axis.

Answer: [tex]x^{2} +12x+20[/tex]

Step-by-step explanation:

h(x)= (x+10)(x+2)

^ It is this way because it is so the x value will equal -10 and -2.

Now, we just distribute it. if the question does not have any points it passes through described in the problem, then it is pretty self explanatory.

x^2 + 2x+ 10x+ 20

= [tex]x^{2} +12x+20[/tex]

Answer:

f(x) = A(x - 2)(x - 10),

where A is real and A= 20.

Step-by-step explanation:

if I'm wrong I am so very sorry

Answer:

All of the positive integers that can divide evenly into 35 (they are the factors) are:

 1, 5, 7, 35

All others, like 2, 3, 13, ... create a remainder that is not 0.

Now, you may (or soon will be) learning about the prime factors of 35 (not 1, and only divisible by itself and 1).  They are:

    5, 7

Step-by-step explanation:

Answer:

A. 3.2

Step-by-step explanation:

Given

Circumference (c) = 19.8 in

Radius (r) = ?

We know

2πr = c

2 * 3.14 * r = 19.8

6.28 r = 19.8

r = 19.8 / 6.28

r = 3.2 in

Hope it helps :)❤

Answer:

2000

Step-by-step explanation:

S.I=P×rate / 100×time

30000×8 / 100×5/6

=2000

Answer:

C

Step-by-step explanation:

just fill in the x

ex. y=0.5x+14

     y=0.5(5)+14

     y=2.5+14

     y=16.5

Answer:

16, 10, 0

You plug in the x into the function

Answer:

81 / 64

Step-by-step explanation:

The ratio of the areas can be obtained thus :

Area of ∆ABC / Area of ∆PQR

Area of ∆ABC / Area of ∆PQR = AB² / PQ²

AB = 1.8 ; PQ = 1.6

AB² / PQ² = 1.8² / 1.6²

= 18² / 16²

= 324 / 256

= 81 / 64

Answer:

B. two

Step-by-step explanation:

The solution of the given graph will be one hence option (D) will be correct.

A graph, which is a diagrammatic depiction of a network, describes the connection between lines and points. A graph consists of various points and the separation between two of them.

It doesn't matter how much time the lines are or where the points are located. A node is a name for each constituent in a graph.

For example to draw the equation y = 6x +9 this will draw a straight line in the coordinate geometry.

The solution of any equation is a point of intersection of a graph as we can see that the graph which is present in the question has only one intersection so there will be only one answer.

For more details about the graph

brainly.com/question/16608196

#SPJ2

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Middle School:

Find the median by arranging the data points from smallest to largest.

1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)

7/2 = 3.5

High School:

1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)

4/2 = 2

Most of the points in the middle school plot are four or less.

A (High school students had more variation.)

Answer:

y = 18/5(11)

Step-by-step explanation:

If y varies directly as x, this is expressed as;

y∝x

y = kx

k is the constant of proportional constant

if y = 18 and x = 5

18 = 5k

k = 18/5

to get the expression that can be used to find the value of y when x is 11

y = kx

y = 18/5(11)

This gives the required expression

Answer:

43 m. Perimeter is all the sides added together.

Answer:

the answer is 2/6 im not sure but i hope its help

Answer:

Step-by-step explanation:

The jar contains 2 types of coins dimes and quarters

the total amount is equal to 36.25 dollars

the total number of coins is 250

let  number of dimes be x and quarters be y

let us put the equation

0.10x + 0.25y = 36.25

for our convinience convert all money to cents i.e. = 3625 cents

now the equations are

10x + 25y = 3625

x     +    y   = 250

we need to solve for y i.e. number of quaters

y = 250 - x

rewrite the equation substituting y in x place

10(250 - y) +25 y = 3625

2500 - 10y +25y = 3625

15y = 1125

y = 75

so the number of quarters = 75

cross checking :

number of dimes = 250 - 75 = 175

total = 10x175 + 25x75 = 1750 + 1875 = 3625 = $36.25

Answer:

Step-by-step explanation:

G

Answer:

The function  is a parabola of the form . The the formula for the axis of symmetry of a parabola is. So it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.

Answer:

D. it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.