The number of people who live in a unit of area is called the population density of the area. It usually given as people "per square mile" or "per square kilometer".

A map of the Orchard Hill Neighborhood is shown. The population of the Orchard Hill Neighborhood is 360 people. The lenght of each block is the same and the lenght of 20 blocks is 1 mile.

What is the area in square miles of Orchard Hill?

A. 0.35 square mile

B. 0.03 square mile

C. 0.15 square mile

D. 0.60 square mile​

Answer:

p = 6

Step-by-step explanation:

4 + 2p = 10( (3/5)p - 2 )

Distribute the 10

4 + 2p = 6p - 20

Subtract 4 from both sides

2p = 6p - 24

Subtract 6p from both sides

-4p = -24

Divide both sides by -4

p = 6

Answer:A

Step-by-step explanation:

Answer:

D. An angle measuring 470*

Step-by-step explanation:In this question

The coterminal angle for 110° is 470°.

"Coterminal angles are two (or more) angles that have their initial and terminal sides in the same positions. However, the angle measures differ either because one angle is measured clockwise and the other is measured counterclockwise".

For the given situation,

The angle is 110°.

The coterminal angles can be determined by adding or subtracting 360° to the given angle.

For 110° = [tex]360+110[/tex]

⇒ [tex]470[/tex]°

Hence we can conclude that the coterminal angle for 110° is 470°.

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Answer:

x = 29

Step-by-step explanation:

Answer:

attached above is the answer

Answer:

- 28     8

- 28    -6  

Step-by-step explanation          

Answer:

y=x^2 -5x+4

Step-by-step explanation:

F(x)= -x+1

G(x)-x+4

(-x+1)(-x+4) = x^2 -4x-1x+4 = x^2-5x+4

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

Explanation:

The f(x) function goes through (0,1) and (1,0). It's slope is

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

m = (0-1)/(1-0)

m = -1

The y intercept is b = 1 because this is where the blue line crosses the y axis.

We go from y = mx+b to y = -1x+1, or simply y = -x+1.

So f(x) = -x+1

Through similar steps, you should find that g(x) = -x+4

Both f(x) and g(x) have the same slope, which makes them parallel lines.

-----------------------------------

Once we know what f(x) and g(x) are, we multiply them out like so:

f(x) * g(x) = ( f(x) ) * ( g(x) )

f(x) * g(x) = ( -x+1 ) * ( -x+4 )

f(x) * g(x) = w(-x+4) ..... let w = -x+1

f(x) * g(x) = -xw + 4w ... distribute

f(x) * g(x) = -x( w ) + 4( w )

f(x) * g(x) = -x( -x+1 ) + 4( -x+1 ) ... plug in w = -x+1

f(x) * g(x) = x^2 - x - 4x + 4 ... distribute twice more

f(x) * g(x) = x^2 - 5x + 4

You could use the FOIL rule or box method as alternative routes to get this answer. I prefer the box method because the FOIL rule is only limited to multiplying binomials, while the box method allows you to multiply two polynomials of any length.

Answer:

No comprendo espanol. Yo se un muy poco.

Step-by-step explanation:

Answer:

y = -3x - 2

Step-by-step explanation:

to find slope use m= y2-y1/x2-x1

m= -4-2/6-4

m= -6/2

m=-3

then use point slope formula (y-y1) =m(x-x1)

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

simplify

y-2 = -3x - 4

turn into slope intercept form

y = -3x - 2

Answer:

8

Step-by-step explanation:

Usually we would have to use a formula to find the distance between the two points, however the x values of both coordinates are the same therefore we can find the distance between the two points by subtracting the smaller y value (-3 ) from the larger y value ( 5 )

Distance = 5 - ( - 3 )

* the two negative signs cancels out *

5 + 3 = 8

The distance between the two points is 8 units

Answer:

8

Step-by-step explanation:

[tex]\sqrt{(6-6)^{2}+(-3-5)^{2}}[/tex]

=> [tex]\sqrt{64}[/tex]

=> 8

Answer:

what diagram

Step-by-step explanation:

Answer:

[tex]x=6,\\m\angle 1=18^{\circ}[/tex]

Step-by-step explanation:

Since the problem denotes the figure as a parallelogram, [tex]\overline{AB}[/tex] is parallel to [tex]\overline{DC}[/tex]. Therefore, angles 1 and 2 are equal (from corresponding angles and vertical angles).

Therefore, we have the following equation:

[tex]m\angle 1=m\angle 2,\\x+12=6x-18,\\30=5x,\\x=\boxed{6}[/tex]

Substituting [tex]x=6[/tex]:

[tex]m\angle 1=x+12=6+12=\boxed{18^{\circ}}[/tex]

Answer:

72°

Step-by-step explanation:

The interior angles of a triangle sum to 180°. Since there are two angles at 54°, we can use the equation x = 180 - 54 - 54 or x = 180 - 2(54), which will give us 72°.

Answer:

See below

Step-by-step explanation:

A 30° angle is measured 30° counterclockwise while a -30° angle is measured 30° clockwise. Therefore, you can say -30°=360-30°=330° because 30° is a reference angle located in Quadrant IV.

Answer:

1) D

2) A

Step-by-step explanation:

I hope this helps.

Answer:

"5.5129 g/cm³" is the appropriate solution.

Step-by-step explanation:

According to the question, the values are:

Iron's density,

= 7.874 g/cm³

Base edge length,

= 4 cm

Base edge width,

= 9 cm

Height,

= 5 cm

Mass,

= 425 g

As we know,

The Density of rectangular pyramid will be:

= [tex]\frac{Mass}{Volume}[/tex]

or,

= [tex]\frac{Mass}{Length\times Width\times height}[/tex]

On putting all the given values, we get

= [tex]\frac{425}{4\times 9\times 5}[/tex]

= [tex]\frac{425}{180}[/tex]

= [tex]2.3611 \ g/cm^3[/tex]

hence,

The difference will be:

= [tex]7.874-2.3611[/tex]

= [tex]5.5129 \ g/cm^3[/tex]

Answer:

Time = 8 weeks

Step-by-step explanation:

Given the following data;

Savings = $23

Savings made = $65

Cost of bike = $273

To find the amount required to purchase the bike;

Balance = cost of bike - savings made

Balance = 273 - 65

Balance = $208

Next, we find the number of weeks required to save $208 (balance).

Time = balance/savings

Time = 208/23

Time = 8 weeks

Answer:

75°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

let x be the sixth angle, then sum and equate to 720°

150 + 100 + 80 + 165 + 150 + x = 720

645 + x = 720 ( subtract 645 from both sides )

x = 75

The sixth interior angle is 75°

Answer:

radius = 4 units and center of circle = (0,10)

Step-by-step explanation:

The radius of this circle from the given equation of circle is equal to 4

Data;

The equation of a circle is given as

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Let's substitute our given variables here and solve

[tex](x-h)^2 + (y - k)^2 = r^2\\(x-0)^2 + (y-10)^2 = 4^2[/tex]

All we need to do here try to write the equation in the standard form which is given above and then pick the value of radius (r) from there

The radius of this circle is equal to 4

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Answer:

false..................

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

hope this helps with the work don't know how I keep finding your questions

Answer:

Hello! answer: 25

Step-by-step explanation:

x = 56 because... 56 - 31 = 25 56 + 43 = 99 and x = 56 so 56 + 25 + 99 = 180 Hope that helps!

In the diagram, we can see that the angles are linear pair, which means they are of 180°. Now,

Supplementary angles are those which form an angle of 180° where as Complementary angles are those which form an angle of 90°. Certainly, the as it is a linear pair, they both are supplementary angles.

Now, we can say that:

= x + 118 = 180 ------------ [ Supplementary angles]

= x = 180 - 118

= x = 62

That's how the option B is correct.

Answer:

353 miles

Step-by-step explanation:

58 x 5 = 290

290 + 63 = 353

To round each number to the nearest tenth, we have to look at the second digit after the decimal point, the hundredths. We look at tenths to round whole numbers, hundredths to round tenths, thousandths to round hundredths, etc. If the digit is 4 or below, then we would round down. If the digit is 5 or up, we would round up.

11.14

The digit is below 5, so we round down to 11.1.

9.543

The digit is also below 5, so we round down to 9.5.

Henceforth, adding these two numbers, we can conclude that an accurate estimation of the sum is 11.1 + 9.5, or 20.6.

If we wanted to round this answer further, we would use the same rounding rule. 20.6, where the tenths place digit, 6, is above 5, would be rounded up to 21.