Fill in the table to show a proportional relationship and then identify the constant of proportionality for the cost to the number of yoga classes. In the answer box, please list the constant of proportionality

Answer:

1178 inches

Step-by-step explanation:

Using the triangle I drew (assuming n is across from ∠N), we can conclude that ∠O = 180-97-32 = 51 as the angles in a triangle add up to 180.

Using the law of sines, we can conclude that

[tex]\frac{o}{sinO} = \frac{n}{sinN} \\[/tex]

Plugging our values in, we get

[tex]\frac{o}{0.78} = \frac{800}{0.53}[/tex]

Multiply both sides by 0.78 to get

[tex]o = \frac{800*0.78}{0.53} = around 1177.5[/tex]

round up to get 1178 as our answer

Answer:

A, (Hope that was correct)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sum of angles in a triangle is 180 degrees

180-40-60 = 80

80 degrees

80 degrees is an acute angle.

Answer:

It would be 80 degrees which is an acute angle

Step-by-step explanation:

A triangle is 180 degrees in total 60 degrees + 40 degrees is 100 degrees leaving you with 80 degrees its acute because, 0 degrees to 90 degrees is an acute angle. Hope this helped!

Answer:

1-   1+2+3+4+5 = 15

Step-by-step explanation:

14.3x0.5 =7.15  all you have to do is line them up or do it old fashion way

Answer:

there is no picture?

Step-by-step explanation:

Answer:

x = 80

y = 100

Step-by-step explanation:

First, we need to figure out how many degrees there are in total in the inside of the polygon. There are 7 sides, so now let's use the formula to find out the total degrees.

(n - 2) * 180

"n" is the amount of sides.

(7 - 2) * 180 =

5 * 180 =

900

The total degrees is 900.

Now, we have to add all the sides in the inside to form an equation to solve for y.

y + 135 + 140 + 150 + 120 + 135 + 120 = 900

y + 800 = 900

y + 800 - 800 = 900 - 800

y = 100

Now, we know that x and y are supplementary angles. So the sum of x and y is 180. We can use that to create an equation to solve for x!

x + y = 180

x + 100 = 180

x + 100 - 100 = 180 - 100

x = 80

Therefore, x = 80 and y = 100

Hope this helped! <3

Answer:

about 30 km. If it wasn't estimated, it would be 30.8994048 km.

Answer:

12

Step-by-step explanation:

Answer:

I think 3 upon 4/ 3 by 4 is right answer

Answer:

There are 5 8-point questions and 15 4-point questions

Step-by-step explanation:

20.4= max points 80 limit of points = 100

20.8= max points 160

100:4= max 25 questions limit of questions = 20

100:8= max 12,5 question

5.8=40

15.4=60

There are 5 bubble grid questions and 15 multiple choice questions.

Two or more expressions with an Equal sign is called as Equation.

Let,

Multiple choice questions denoted by M

Bubble grid questions are denoted by B

A 20-question math test is worth 100 points.

M+B=20..(1)

Multiple choice questions worth 4 points each. Bubble grid questions are worth 8 points each.

4M+8B=100..(2)

From equation 1,

M=20-B

4(20-B)+8B=100

80-4B+8B=100

80+4B=100

Subtract 80 from both sides

4B=20

Divide both sides by 4

B=5

Now plug in B value in equation 1.

M+5=20

Subtract 5 from both sides

M=15

Hence, there are 5 bubble grid questions and 15 multiple choice questions.

To learn more on Equation:

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Answer:

<

Step-by-step explanation:

Answer:

-8+4x

Step-by-step explanation:

Answer:

y is equal to nine and two thirds, or 9.666...

Step-by-step explanation:

To solve this, we first need to know the value of x.  We can see though that x + (x - 12) is equal to 180 degrees, so:

x + 5x - 12 = 180

6x = 192

x = 32

Now that we have x, we can use the same rule to solve for y:

3y - 8 = x

3y - 8 = 32

3y = 40

y = 40 / 3

So y = 40/3, or 9 and 2/3

Bonus:

I almost wonder if the question was printed incorrectly, as the answer would have been a nice tidy integer if the other corner was 3y + 8 instead of 3y - 8.

If that were the case we'd have:

3y + 8 = 32

3y = 24

y = 8

A nice clean answer

To be clear, this last bit is NOT the correct answer, just an observation. If the book tells you that eight is the answer, then the question is misprinted.

Answer:

[tex]Height = 15[/tex]

[tex]Base = 45[/tex]

Step-by-step explanation:

Given

Shape: Rectangle

[tex]Perimeter = 120cm[/tex]

[tex]Base = 3 * Height[/tex]

Required

Determine the dimensions

The perimeter of a rectangle is:

[tex]Perimeter = 2 * (Base + Height)[/tex]

Substitute 120 for Perimeter

[tex]120 = 2 * (Base + Height)[/tex]

Divide both sides by 2

[tex]60 = Base + Height[/tex]

Substitute 3 * Height for Base

[tex]60 = 3 * Height + Height[/tex]

[tex]60 = 3Height + Height[/tex]

[tex]60 = 4Height[/tex]

Divide both sides by 4

[tex]15 = Height[/tex]

[tex]Height = 15[/tex]

Substitute 15 for Height in [tex]Base = 3 * Height[/tex]

[tex]Base = 3 * 15[/tex]

[tex]Base = 45[/tex]

Answer:

23

Step-by-step explanation:

12, 65, 3, 8, 23, 64, 19, 53, 0, 24, 57, 15, 39

First put in order.

0, 3, 8, 12, 15, 19, 23, 24, 39, 53, 57, 64, 65

Eliminate each number alternating from beginning and end like so.

3, 8, 12, 15, 19, 23, 24, 39, 53, 57, 64

Keep doing until you get to the middle.

8, 12, 15, 19, 23, 24, 39, 53, 57

12, 15, 19, 23, 24, 39, 53

15, 19, 23, 24, 39

19, 23, 24

23

Since 23 is the last remaining number, that is the median.

Answer:

5,30

Step-by-step explanation:

1325:5=2,65

265.2=530

Answer:

It is 530

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer:

I do not know

Step-by-step explanation:

I guess because negative represents going down :/

Answer:

Step-by-step explanation:

just take 8.5% of 28,020 off for ever year until you get to 2030.

8.5% is 2381.70

Take 2381.70 of 28,020 each year

Answer:

126

Step-by-step explanation:

131 + - 5 can either be;

131 + 5 = 136

131 - 5 = 126

The question is probably asking what is 131 plus negative 5, hence the correct equation is; 131 - 5, and the correct answer is 126.

Answer:

The length of other wall is 3 meters.

Step-by-step explanation:

Given that:

Length of one wall = 4 meters

Length of diagonal from one corner to opposite corner = 5 meters

As the room is rectangular, the diagonal will form a right angled triangle.

The diagonal will be the hypotenuse.

Using pythagorean theorem;

[tex]a^2+b^2=c^2[/tex]

Here,

a = 4 and c = 5

[tex](4)^2+b^2=(5)^2\\16+b^2=25\\b^2=25-16\\b^2=9[/tex]

Taking square root on both sides

[tex]\sqrt{b^2}=\sqrt{9}[/tex]

b = 3 meters

Hence,

The length of other wall is 3 meters.

(sqrt2 - sqrt6)/4 = - 0.259

cos ((7pi)/12) = cos 105 = - 0.259

Answer:

D. sprt2 - sqrt6/4

Step-by-step explanation:

If you mean the answer for edg that's what it is.

Hope that helps

Answer:

116

Step-by-step explanation:

Pemdas so do the 10 × 12 first... you get 120 the you go left to right so 3 + 120 = 123... subtract 7 from that and you get 116.

Answer:

square root of 65 or 8.06

Step-by-step explanation:

(x-2)^2+(y-7)^2+65

hope this helps

The length of radius is 7.81 unit.

The distance between two points P(a, b)a nd Q(c, d) is

D = √(c- a)² + (d- b)²

Given:

Center at (-2,7) if a point on the circle has coordinates (3,-1).

Using Distance Formula

D = √( 3-(-2))² + (1-7)²

D = √ (3 +2)² + (-6)²

D = √5² + 36

D = √25+36

D = √61

D= 7.81 unit

Hence, the length of radius is 7.81 unit.

Learn more about distance formula here:

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Answer:

[tex]8+c\le15[/tex]

Answer: there is no screenshot :(

Step-by-step explanation:

Answer:

Final cost of the item is $19.55

Step-by-step explanation:

Expression representing the final cost of an item with original price = $p and discount = 15% will be,

Final cost = (p - 0.15p)

If the original price p = $23

By substituting p = 23 in the expression given,

Final cost after discount = 23 - (0.15)23

                                         = 23 - 3.45

                                         = $19.55

Therefore, final cost of the item is $19.55