8. The table below shows the number of students enrolled at Mapleton High School since 2002. Write
an equation for the line of best fit, then predict the number of students enrolled in 2011.
20022892
2003 3042
2004 | 3087
2005 3136
2006 3296

Answer:

Area of rectangle = 54

Area of triangle= 18

Total area = 72

Step-by-step explanation:

Area of rectangle = length × width

= 9 × 6

= 54

Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height

[ Height of the triangle = 10 - 6 = 4 ]

Area of a triangle = [tex]\frac{1}{2}[/tex] × 9 × 4

= 18

Total area = Area of rectangle + Area of triangle

= 54 + 18

= 72

[ The unit should be: [tex]cm^{2}[/tex] or [tex]m^{2}[/tex] etc.; it should have the 'square'. ]  

Answer: c = [tex]\sqrt{89}[/tex]

8² + 5² = c²

64 + 25 = c²

[tex]\sqrt{89}[/tex] = [tex]\sqrt{c^{2} }[/tex]

[tex]\sqrt{89}[/tex] = c

The length of the third side is 9.4.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Applying Pythagorean theorem.

Third side = x

x² = 8² + 5²

8 x 8 = 64 and 5 x 5 = 25

So,

x² = 64 + 25

x² = 89

x = √89
x = 9.4333

Rounding to the nearest tenth

x = 9.4

Thus,

The length of the third side is 9.4.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ2

Answer:

The answer is 2.

Step-by-step explanation:

11(7) - 75

77-75

=2

Answer:

Here is the answer I solved.

Answer:

Please Provide the an attachment.Then i can show u my answer

Answer:

y = tan-1 (31/23)

Formula: SOHCAHTOA

TOA: tan = opposite/adjacent

31 / 23 = 1.3478

tan-1 of 1.3478 is 53.4264

53.4264 = 53 (rounding to the nearest degree)

y = 53 degrees

Answer:

c

a fraction bar Is just a division bar, it's c.

Step-by-step explanation:

multiple 1/2 × 2 × 1 1/2

you can download Desmo calculator or write down what you multiple neatly on a piece of paper and use photo math

Answer:

D.   2 ≤ x ≤ 5

Step-by-step explanation:

Notice that there are no points on the graph for x ≤ 2 and x ≥ 5.  Or another way to look at it is that the x's are between 2 and 5, inclusive.

The domain is the set of possible x values.  Therefore,  2 ≤ x ≤ 5 is the set of  values for the domain

Answer:

about 62%

Step-by-step explanation:

add all of the numbers

subtract the number of purple skittles

do 16÷26

multiply your answer by 100

get 61.5

round up

Answer:

[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]

Step-by-step explanation:

We can use basic trigonometric functions to find the closest height of the escalator.

Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.

Since all triangles have an angle sum of 180:

Now we know that the triangle looks something like this.

                   /  | 41°

                 /    |

               /      |

            /         |

30      /           |

       /              |                                                

     /                |

  /                   |

/__________| 90°

49°

We need to find the length of the side between the 41 and 90° angle.

To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).

Let's set up an equation and solve with our calculator.

We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.

Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.

Hope this helped!

Answer:

The answer is B.

Step-by-step explanation:

B. 22.5 feet

Answer:

(x - √7*√x) / (x - 7)

Step-by-step explanation:

I suppose your expression is √x / (√x + √7)

(√x * (√x - √7)) / ((√x + √7) * √x - √7)) = (√x * √x - √7 * √x) / (x - 7)

= (x - √7*√x) / (x - 7)

Answer:

Its A

Step-by-step explanation:

I just took the test on edge

Answer:

>

Step-by-step explanation:

because

16/24 > 9/24 :)

Answer:

The answer is 1m/s

Answer:

No answer just clues

Step-by-step explanation:

x/100*160/1=185/1

y/100*56/1=77/1

I just can't do anymore metal math today, sorry.

Answer:

Step-by-step explanation:

1) Area of garden = side * side

                             = 10* 10

                             = 100 Sq.m

2) Area of each flowerbed = 1*1 = 1 sqm

3)  Area of 4 flowerbed = 1 * 4 = 4 sqm

 Area of the remaining garden = Area of garden - area of 4 flower bed

                                                    = 100 - 4

                                                    = 96 sq.m

4) Length of the fence = 4 *side

                                      = 4 * 10 = 40 m

5)  Cost of planting in the remaining garden = 96 * 20

                                                                          = ₹ 1920

The bones of the body come in a variety of sizes and shapes. The four principal types of bones are long, short, flat and irregular. Bones that are longer than they are wide are called long bones. They consist of a long shaft with two bulky ends or extremities.

Los huesos del cuerpo tienen una variedad de tamaños y formas. Los cuatro tipos principales de huesos son largos, cortos, planos e irregulares. Los huesos que son más largos que anchos se llaman huesos largos. Consisten en un eje largo con dos extremos o extremidades voluminosas.

If i'm  wrong please tell me

Answer:

6 phones and 18 accessories

Step-by-step explanation:

12P + 3.50A = 135

A = 12 + P

12P + 3.50(12 + P) = 135,

12P + 42 +3.50P = 135

15.50P = 93

P = 6 phones

A = 12 + 6 = 18 accessories

Answer:

×= 5hrs

Step-by-step explanation:

Daisy 9 hrs

Bella my son 5hrs

Answer:

Earth : Moon

1 : 27

Step-by-step explanation:

24 hrs = 1 day

so the ratio is up there

Hope I helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

8^2-60 ,   11^1   , 2^2x5

Step-by-step explanation:

2^2= 4

4 x 5 = 20

11^1= 11

8^2= 64

64-60 = 4

Answer:

I think it's vertex bestie not sure tho lmk if it's wrong

Answer:

$12644.56

Step-by-step explanation:

one year = 12 month

4,000 * (1.02)^(6*12) = 16644.5615

16644.5615-4000 = 12644.5615

Answer:

Step-by-step explanation:

[tex]A=P(1+r/c)^{ct}\\ \\ A=4000(1+.02/12)^{12(6)}\\ \\ A\approx \$ 4509.54[/tex]

Answer:

The total cost of the tablet is $840

Step-by-step explanation:

Here, we want to calculate the total cost

Let the total cost be $x

From the ratio, the total ratio is 3 + 4 + 1 = 8

so,;

3/8 * x = 315

3x = 8 * 315

x = 8/3 * 315

x = 8 * 103

x = 840

Answer:

3(x+5) is the answer.

Step-by-step explanation:

Pathagory and Theorem

a^2+b^2=c^2

(x-3)^2+(x-4)^2=6^2

expand:

2x^2-14x+25=36

2x^2-14x-11=0

x=(\sqrt{71}+7)/2

perimeter=(x-3)+(x-4)+6=2x-1

insert the value for x into 2x-1

[tex]\sqrt{71}[/tex]+6=perimeter

Hope that helps :)

9514 1404 393

Answer:

  2x -1

Step-by-step explanation:

The perimeter is the sum of the side lengths.

  P = 6 + (x -4) + (x -3)

  P = 2x -1 . . . . . . collect terms

The perimeter is 2x -1.

_____

Additional comment

There is nothing in the problem statement that suggests this is a right triangle. Without knowing at least one angle, we cannot solve for a numerical value for the perimeter. The problem title suggests we're to leave the result in polynomial form.

Answer:

x = square root of 55

x^2 = 8^2 - 3^2

x^2= 64 -9

x = square root of 55

Answer:

You do not

have graph, child.

Answer:

x=15.714

y=5.715

Step-by-step explanation:

Answer:

x=10, y=20

Step-by-step explanation:

okay so to find x, or the way I did it, we just have to look at the top, we know one line is 180 degrees, and we see three angles, 7x,90, and 20

so 90+20+7x=180

and:110+7x=180

therefore: 7x=70

and finally: x=10

To find y also isn't had if we just look at the blue and green lines we see they are intersecting and opposite angles in intersecting lines are congruent meaning they are the same. So we now know that:

5x+2y=90

and we know x=10

so 5x=50

meaning that: 50+2y=90

therefore: 2y=40

and in conclusion y=20