For each table, write the equation that represents the price per ticket.

Step-by-step explanation:

as you can see, the distance between 2 points can always be seen as the Hypotenuse or baseline of a right-angled triangle created by the differences of the x and y coordinates of both points.

the drawn triangle is nothing else than that.

to calculate the length of a side in such a triangle we need to use Pythagoras :

c² = a² + b²

c is the Hypotenuse of baseline of the triangle and is opposite of the 90 degree angle.

a and b are the legs of the triangle "enclosing" the 90 degree angle.

so, we have

AB² = AC² + BC²

AC and BC we know : the coordinate differences in x and y directions.

AC = (4, 5) to (4, 2). as the x coordinates are the same, the difference is just the difference in the y coordinates : 5-2 = 3.

BC = (1, 2) to (4, 2). as the y coordinates are the same, the difference is just the difference in the x coordinates : 5-1 = 3.

AB² = 3² + 3² = 9 + 9 = 18

AB = sqrt(18)

FYI : sqrt(18) = sqrt(9×2) = 3×sqrt(2)

Answer:

how watched 3/4 of the movie

Step-by-step explanation:

I know this because 2 is more then half of 3 and 3 is more then half of 4 so you can come to a conclusion that he watched a total of 3/4 and 2/4 at night.

P.S when ever using a fraction when typing like 1/4 instead of doing

1

4

do 1/4

Answer:

x = 7/2

x = 3.5

x = 3 1/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

310 miles

Step-by-step explanation:

You can set up a proportion and solve for x.

2 6.2

___ = ___

100 x

Cross multiply

2x=6.2*100

Simplify

2x=620

Divide each side by 2

x=310

Answer:

therefore the correct option is Y-⅓-¾(×-4)

Step-by-step explanation:

Equal of a line

Y-⅓=m(×-×1)

Y-⅓=¾(×-4

Answer:

y -1/3 = 3/4( x-4)

Step-by-step explanation:

We can use the point slope form of an equation of a line

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y -1/3 = 3/4( x-4)

Answer:

b

Step-by-step explanation:

Answer:

the width is 3

Step-by-step explanation:

you divide the 4 by 12

Answer:

2 units

Step-by-step explanation:

Area = Length × Width of a rectangle

If Length = L

Width = L-4

So 12 units = L×(L-4)

12 = L^2 -4L

L^2 -4L -12=0

Simplify this equation

L^2 + 2L -6L -12 = 0

L( L+2) - 6(L+2) = 0

(L+2) (L-6) = 0

L+2 =0 Or L-6=0

L=-2 Or L= +6

But L can't take a negative value

therefore L= 6

Now if we substitute and check,

L× (L-4) = 6×2=12 units

width = 6-4 =2 units

Step-by-step explanation:

remember : the sum of all angles in a triangle is always 180 degrees.

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C) with the sides being always opposite of the angles.

so,

the opposite angle of x is

180 - 90 - 58 = 32 degrees.

x/sin(32) = 11/sin(58)

x = 11×sin(32)/sin(58) = 6.873562871...

rounded x = 6.9

Answer:

90

Step-by-step explanation:

start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.

2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90

3/5 x ==> only 90

Answer:

g(f(4))=9 is the answer

the answer is 32 because it as shown it has 23 and 67

the angle 1 and 3 are congruey

Answer:

Smallest: 12.8 square meters

Largest: 13.5 square meters

Step-by-step explanation:

I'm not 100% sure I understand this correctly as it seems like a very strange problem, but here it goes.

The smallest number that rounds to 3.2 is 3.15, and the smallest number that rounds to 4.1 is 4.05.

[tex]3.15*4.05=12.7575[/tex]

The smallest possible area is 12.8 rounded to the nearest 10th.

The largest number that rounds to 3.2 is 3.24999... and the largest that rounds to 4.1 is 4.14999...

[tex]3.24999*4.14999=13.4875[/tex]

That rounds to 13.5.

Answer:

3

Step-by-step explanation:

Midpoint means EF and FG are both 8 the whole thing is 19 so 19 - 16 = 3

Answer:

A=cos C

Step-by-step explanation:

mass–energy equivalence formulpa E

V = s^3 = 8^3 = 512cm^3 True.

Answer:

every answer:

A

B

B

B

B D E

A

C

C

C

D

Step-by-step explanation:

i got 100% on Edg

Answer:

Step-by-step explanation:

Use Pythagorean to decide

Sides 12, 16, 20

Sides 2.4, 4.5, 5.1

Answer:

(3×2) + (3×4)

Step-by-step explanation:

One box's area is 3×2 and the other box's area is 3×4, so when you add them, you get the total area.

Answer:

y=3

Step-by-step explanation:

All points have the same y coordinate. Or

A line parallel to the x axis has slope 0, so it's y= 0x +3 that becomes y=3

Answer: Y=3

Step-by-step explanation:

Answer:

the answer would be 196.25

Step-by-step explanation:

[tex]\\ \sf\longmapsto (4x+2)(x-3)[/tex]

[tex]\\ \sf\longmapsto 4x(x-3)+2(x-3)[/tex]

[tex]\\ \sf\longmapsto 4x^2-12x+2x-6[/tex]

[tex]\\ \sf\longmapsto 4x^2-10x-6[/tex]

Answer:

Step-by-step explanation:

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

                    = 4x*x - 3*4x + x*2 - 3*2

                    = 4x² - 12x + 2x - 6   {Combine like terms}

                    = 4x² - 10x - 6

Answer:

x = 8°

y = 21°

Step-by-step explanation:

27 + 3y = 90

3y = 63

y = 21°

x + 8x + 18 = 90

9x = 72

x = 8°

Answer:

B) 306°

Step-by-step explanation:

1. Pentagons have a sum of interior angles of 540°

2. Triangles have a sum of interior angles of 180°

3. Knowing that triangle EFA is isosceles, we know that

   <FEA = *<FAE, so they are equal to:  (180° - <F) /2   =   (180° - 36°) / 2

   = 144° / 2  

   = 72°

4. m<A + m<B + m<C + m<D + m<E = 540°

   It is also given that **m<D = 90°,

   so therefore m<A + m<B + m<C + m<E = 450°

5. Now to find a+b+c+d   (m<a + m<b + m< c+ m<d),

       m<a = m<E - 72°    and    m<d = m<A - 72°

   This means that

   m<a + m<b + m< c+ m<d = (m<A - 72°) + m<B + m<C + (m<E - 72°) = 450°

6. Finally,

m<a + m<b + m< c+ m<d  =  450° - 72° - 72°  =  306°

EXTRAS

* < is an angle symbol

** m<D means measure of angle D

Answer:

$6 per cat, $10 per car

Step-by-step explanation:

I guess and checked my work.

Answer:

36

Step-by-step explanation:

60 × 3 ÷ 5 that's basically it :))

36 out of 60 cowboys ahs chosen bacon over sausages.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Sam, the ranch cook, made sausage and bacon for breakfast.

Each cowboy could choose one meat, and Sam had just enough.

3 of every 5.

Also given that there are 60 cowboys so no. of meat is also 60 as each cowboy could choose one meat.

If 3 of every 5 cowboys chosen meat then the no. of cowboys chosen meat is,

= (3/5)×60.

= 36 cowboys.

learn more about ratios here :

https://brainly.com/question/13419413

#SPJ2

Answer: I got 60d+115f

Step-by-step explanation:

Hope this helps.

Answer:

60d+115f

Step-by-step explanation:

if you were basically asking to simplify then this is your answer