What is the distance formula?

The total area of the sketch will be 40.5 cm².

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

Given, The sketch of this crayon represents an irregular polygon.

Dimension of the polygon are given in the figure,

To calculate the area of the given figure first we need to break this into two parts:

The first one will be rectangular form with a length of 12.5 cm and a width of 3 cm

The second one will be in triangular form with a height of 2 cm and a base of 3 cm.

Area of rectangle = length * width

in our case,

Area of rectangle = 12.5*3

Area of rectangle = 37.5 square cm

Area of triangle = 1/2 base *height

In our case,

Area of triangle = 1/2* 3 * 2

Area of triangle = 3 square cm

So,

The total area of the sketch = area of rectangle +area of the triangle

The total area of the sketch = 37.5 + 3

The total area of the sketch = 40.5 Square cm

Therefore, the total area of the sketch will be 40.5 cm².

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Answer:

Growing at a rate of 3% per year : 200,000 x 3% =  6,000 population/ year

The population of this city in 21 years : 200,000 + ( 6,000 x 21 ) = 326,000 p

Step-by-step explanation:

The population of the city after 21 years is given by the exponential equation A = 372,059

The exponential growth rate is the value which increases exponentially over a period of time and

x ( t ) = x₀ ( 1 + r )ⁿ

x ( t ) is the growth at time t

x₀ is the initial value growth at time t = 0.

r is the growth rate expressed as percentage when r > 0

And , the decay rate when r < 0 , in percentage

t is the time in discrete intervals and selected time units

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the initial population of the city be x₀ = 200,000

Now , let the number of years be n = 21 years

Let the percentage of increase be r = 3 %

And , exponential growth formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( 21 ) = 200,000 ( 1 + 0.03 )²¹

On simplifying the equation , we get

x ( 21 ) = 200,00 ( 1.03 )²¹

x ( 21 ) = 200,000 ( 1.86029457 )

On further simplification , we get

x ( 21 ) = 3,72,058.914

On rounding the population , we get

x ( 21 ) = 372,059

Therefore , the value of A is 372,059

Hence , the exponential growth of the population after 21 years is 372,059

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Answer:

x ≈ 68.8°

Step-by-step explanation:

The length of the arc of a sector is calculated as

arc = circumference × fraction of circle , that is

6 = 2πr × [tex]\frac{x}{360}[/tex] = 2π × 5 × [tex]\frac{x}{360}[/tex]  = 10π × [tex]\frac{x}{360}[/tex] ( multiply both sides by 360 )

2160 = 10πx ( divide both sides by 10π )

68.7549... = x , that is

x ≈ 68.8° ( to 1 dec. place )

Answer:

Equation of the line is y = 3x +1

Step-by-step explanation:

Answer:

B=59

Step-by-step explanation:

59 is across from B so they are equal.

Answer:

b = 59

Step-by-step explanation:

b is located right across from the 59 degrees, and they are separated by the same 2 lines that make up their angles. Therefore causing them to have the same measurement, making b = 59

Answer:

Less than.    <

Step-by-step explanation:

Answer:

6.0 × 10⁰

Step-by-step explanation:

599 has 3 significant figures

Answer:

Yes, this sample is valid.

Step-by-step explanation:

This sample is valid  because it surveys a random sample of the 750 students.  

Let me know if this helps!

Answer:

Bro this is how I understood it

Step-by-step explanation:

11/12-2/3=1/4

1 5/8-1 4/7=3/56

By:nick

Yo sorry am on my gbf account and I have this app on my phone tht could help out but sense I am on hers I don’t understand tht type of math no more long time sense I saw them number’s ..

Answer:

4 and for x+y is 2+1

Step-by-step explanation:

Answer:

bro I cant see can you zoom in more im sorry j would answer if I could see

Answer:

11.5

Step-by-step explanation:

We solve using :

Pythagoras Theorem

LM² = MN² + NL²

NL² = LM² - MN²

NL = √LM² - MN²

NL = √14² - 8²

NL =  √(132)

NL = 11.489125293

NL = 11.5

Therefore, the length of NL = 11.5

Step-by-step explanation:

the answer would be 6 meters

btw the origin is known as (0,0)

hope this helps bro<33

Answer:

65 degrees

Step-by-step explanation:

Triangle = 180 degrees

Straight line = 180 degrees

180 - 145 = 35

35 + 80 = 115

180 - 115 = 65 degrees

Answer:

A:16

Step-by-step explanation:

hope this helps you i am taking the test now LOL

plz mark me brainlist i think its called

Answer:

Its 16

Step-by-step explanation:

Because 180 - 109 is 71, and 71 plus 90 is 164, and 180 - 164 is 16 therefore that is your missing angle.

9514 1404 393

Answer:

  74

Step-by-step explanation:

The recursive definition is for an arithmetic sequence with a first term of -6 and a common difference of 4.

The general term of such a sequence is ...

  a(n) = a(1) +d(n -1)

This sequence is ...

  a(n) = -6 +4(n -1) = 4n -10

Then for n = 21, the term is ...

  a(21) = 4(21) -10 = 84 -10

  a(21) = 74

-0.5

Step-by-step explanation:

um bc it is the answer

Answed equally 14=5173=*71792 divided by 1572936219§

Step-by-step explanation:

Answer:

The slope is 2.

Step-by-step explanation:

DIVIDE 13-5/2+2

That gives you 8/4 which equals 2.

Answer:

Step-by-step explanation:

<5=75

<11=75

<16=65

Answer:

Step-by-step explanation:

3n+4<19

3n<19-4

3n<15

n<5

[tex]\frac{10n}{n+16 } >1\\either~ both~ the~ denominator ~ and ~ numerator ~are ~positive ~ or ~both ~are ~ negative.\\let~ 10 n>0 \\n+16 >0\\n>-16\\again ~10 n>n+16\\9n>16\\n>\frac{16}{9} ~...(1)\\and ~\\10n<0,n<0\\and ~n+16 <0\\n<-16\\again\\10n<n+16\\9n<16\\n<\frac{16}{9} \\combining\\n<-16[/tex]

combining

(-∞,-16)U(16/9,5)

Answer:

n = 3,4,5

Step-by-step explanation:

3n + 4 < 19

3n ≤ 15

n ≤ 5

10n/n+16 > 1

10n > n²+16

-n²+10n-16

(-n+2)(n-8)

n = 2 or n = 8

2 < n < 8

So 2<n≤5 = 3,4,5

Answer:

The first one, third One, and the fifth One

Step-by-step explanation:

Answer:

(-x-y)

Step-by-step explanation:

Given data

First expression = ( 3x + y)

Second expression = (-4x -2y)

Add the two expresssion

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

Open bracket

=3x+y-4x-2y

collect like terms

=3x-4x+y-2y

=-x-y

Hence the result is (-x-y)

Answer:

Write the system of equations with 2 unknowns x and y denoting the prices of two types of chickens:

(1) 120x + 200y = 2150

(2) 100x + 300y = 2625

Solving the system of equations above we have 2 solutions:

x = 15/2 = $ 7.5 and y = 25/4 = $ 6.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

do the thing times 2

Answer:

27 milligrams

Step-by-step explanation:

If in one mililiter are 3 milligrams, you just multiply 9 times 3 to get the answer, which is 27