you are a city planner and I have been asked to redesign a park . Currently the park is 500 feet long and 300 feet wide. Q1) calculate the scale factor of the drawing. Q2) The city would like sidewalks placed on the diagonals of the park. How long will the sidewalks be in the scale drawing? Q3) The diagonals meet at a central fountain(point g) they would like to add a playground that is equidistant from the fountain and corner C. At which coordinate with the center of the playground be located? Q4) The city would like a running trail through the park perpendicular to sidewalk AC. What would the slope of the trail be? Q5) what is the equation of line BD in point slope form ? Please help me ASAP.

Answer:

Y= 2/5x - 23

Step-by-step explanation:

Firstly:

Move the 1/5 to the other side of the equation

So

5(y+4) =2(x-3)

Secondly:

Expand the brackets

5y +20 = 2x-3

Thirdly:

Solve

5y= 2x - 3-20

5y=2x-23. (Divide by five both sides)

Y= 2/5 x - 23 (Straight line graph)

To plot the graph:

First create a table of values

For x coordinates and y coordinates

Put the points in the graph and match

Answer:

-18 is the answer please brainlist

Step-by-step explanation:

Answer:

66+12x

Step-by-step explanation:

1x2x3+2x5x6+3x4x

6+60+12x

66+12x

Step-by-step explanation:

area of rrctangle:

12×8= 96cm²

now if rectangle dissapears and then we "glue" what's left, we gonna get two circles

area of circle which gas diameter of 12cm( so radius will be 6cm)will be

πr²=36π≈113.04

another circles radius is 4cm,so area is:

16π≈50.25

sum of all areas: S≈96+113.04+50.25≈259.28cm2

Answer:

b = 6 n = 2.5 and p = 4.5

Step-by-step explanation:

had the same question

The value of the variables b, p, and n will be 6, 3.5, and 2.5, respectively.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation of the line is given below.

y = -0.5x + b

The line is passing through (4, 4), then the value of b will be

4 = -0.5 × 4 + b

4 = - 2 + b

b = 4 + 2

b = 6

Then the equation will be

y = - 0.5x + 6

The equation is passing through (3, p), then the value of p will be

p = -0.5 × 3 + 6

p = - 1.5 + 6

p = 3.5

The equation is passing through (7, n), then the value of n will be

n = -0.5 × 7 + 6

n = - 3.5 + 6

n = 2.5

Then the value of the variables b, p, and n will be 6, 3.5, and 2.5, respectively.

More about the linear equation link is given below.

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Answer:

67.5 miles far

Step-by-step explanation:

Answer: 2.88/1

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

so one of them is 90, one of them is 60

180-150 = 30

so 30

Answer:

You're supposed to start at the zero

Answer:

Step-by-step explanation:

Here you go mate

Step 1

3(q-7)=27  Equation

Step 2

3(q-7)=27  Simplify

3q-21=27

Step 3

3q-21=27 subtract +21

3q=48

Step 4

3q=48  Divide

answer

Q=16

Hope this helps

Answer:

1.8181818181818181 etc., which rounds to 1.82

Step-by-step explanation:

1.65/3 = 1/x

3/1.65

We get 1.80 pounds of flour for 1 dollar.

Unitary method is a mathematical technique for first deriving the value of a single unit then deriving any given unit from it.

Suppose we know one mango costs 4 dollars so 20 mangoes will cost (4×20) dollars = 80 dollars.

According to the given question three pounds of flour cost 1.65 dollars.

So, One pound of flour will cost (1.65/3) dollars which is

= 0.55 dollars.

In 1 dollar we will get (1/0.55) pounds of flour which is

= 1.81 pounds.

Rounding 1.81 to nearest hundredth will be 1.80 as the rightmost digits is than 5.

learn more about unitary method here :

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Answer:

7 I. guessing oh wait nah its fish

Answer:

the first one n + 8 < -2 is correct, the second one is correct too, but its just the graph that is wrong. n > -3, since its greater, it should increase in number, so the line would go toward the right, the opposite direction you drew down.

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

since f || h the length of two lines have to be equal

according to the question:

hence,

Answer:

32 values

Step-by-step explanation:

Given the stem. Plot :

STEM ___ Leaf

4 | 024477889

5 | 001222234477888

6 | 02378

7 | 348

The data values include the stem with each value in the leaf : Hence, the number of data points is the number of values in the leaf of the stem plot.

The values are :

40, 42, 44, 44, 47, 47, 48,48, 49

50, 50, 51, 52,52, 52, 52, 53, 54, 54, 57, 57, 58, 58, 58,

60, 62, 63, 67, 68

73, 74, 78

Answer:

Her increasing the salary will mean

Step-by-step explanation:

Answer:

B. The mean is less than the median.

Step-by-step explanation:

Calculate the mean: 2.8

Calculate the median: 3

Therefore, the mean is less than the median.

Answer:

Tom is correct

Step-by-step explanation:

Quadrilaterals are polygons that have four sides.

Square, rectangle, parallelogram, kite, rhombus are all examples of quadrilateral

Parallelogram is a type of quadrilateral with opposite sides equal and parallel

Step-by-step explanation:

x² - 2x - 35 = (x - 7)(x + 5).

x² + 3x - 54 = (x + 9)(x - 6).

x² - 4x + 4 = (x - 2)².

x² - 121 = (x + 11)(x - 11).

2x² + x - 15 = (2x - 5)(x + 3).

6x² - 7x - 24 = (3x - 8)(2x + 3).

3x² - 10x + 8 = (3x - 4)(x - 2).

10x² + 9x - 9 = (5x - 3)(2x + 3).

12x² + 25x + 12 = (4x + 3)(3x + 4).

15x² - x - 6 = (5x + 3)(3x - 2).

Answer:

B and I are both coplanar

Step-by-step explanation:

Answer:

b. - 1/4

Step-by-step explanation:

Start at the point highest on the line(3,4). Subtract the x value of the second point, from the x value of the first point.(3-7) Then do the same with the y values.(4-3) This gives you x=-4and y= 1. Slope= y/x, so you get -1/4

Answer: 1,152 toys can be stored in the box.

Step-by-step explanation:

For an object with measures L (length) by W (width) by H (height) the volume is calculated as:

V = L*W*H

We know that the measures of each toy are: 4in x 3in x 3in

Then the volume of each toy is:

V = 4in*3in*3in = 36in^3

The toy box is 4ft x 2ft x 3 ft

First we should write the measures in the same units as before, we know that:

1ft = 12 in.

Then:

4ft = 4*12 in = 48 in

2ft = 2*12in = 24in

3ft = 3*12in = 36in

Then the measures of the box are:

48in x 24in x 36in

Then the volume of the box is:

V = 48in*24in*36in = 41,472 in^3

Now, the number of toys that can be stored in the box is the same as the number of times that  36in^3 is in 41,472 in^3

this is equal to the quotient between 41,472 in^3 and 36in^3

N = 41,472 in^3/36in^3 = 1,152

1,152 toys can be stored in the box.

Answer:

Rounding to the nearest number, the answer would be 12 units

Step-by-step explanation:

I hope this helped! Please mark me as brainliest if you can!

Answer:

C

Step-by-step explanation:

Add the hundreds together

Answer: 500+100=600

Step-by-step explanation: