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Nina [5.8K]
3 years ago
15

Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? Round to the nearest whole n

umber.
Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0

Answer:

9 Sides

Step-by-step explanation:

According to the Question,

  • Given That, The sum of the interior angles(s), in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides

Therefore, The sides do a polygon have if the sum of the interior angles is 1,260°.

Put The Values in Formula, we get

1260=180(n−2)

n-2 = 7

n=9 (9 Sides)  

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A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of s
Vitek1552 [10]

All the answers to the given parts are mentioned below -

<h3>What is the general equation of a Straight line? How it represents a proportional relationship?</h3>

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

We have a cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one-half gallon of water is needed, and for every 6 scoops of mix, one and one-half gallons of water are needed.

We can write the proportional relationship as -

y = kx

Now, from the given information, we can write -

2 scoops need 0.5 gallon of water

6 scoops need 1.5 gallon of water

So -

k = 2/0.5

k = 2/(1/2)

k = 2 x 2 = 4

Equations that represents the relationship can be written as -

y = 4x + c

Now, 2 scoops need 0.5 gallon of water.

2 = 4 x 1/2 + c

2 = 2 + c

c = 0

So, the equation will be y = 4x.

Graph of y = 4x is attached at the end.

For 10 scoops of water -

10 = 4x

x = 2.5 gallons of water is needed.

Therefore, all the answers to the given parts are mentioned above.

To solve more questions on proportional relationship, visit the link below-

brainly.com/question/12917806

#SPJ1

5 0
1 year ago
A jetliner goes from rest to a takeoff speed of 173 mi/h in 39.0 s. what is the magnitude of its average acceleration
Oliga [24]
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3 0
3 years ago
Why is a right equilateral triangle impossible?
Tom [10]
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5 0
3 years ago
When x = 4, the value of 2x0 + x! is
Romashka [77]
4!= 4*3*2*1

Therefore,

2x0+x!= 0+x! = 0+4!


4*3*2*1 = 24  (#1)
4 0
3 years ago
Read 2 more answers
Resuelve el siguiente ejercicio:
exis [7]

Answer:

Cuanto dinero voy a pagar  24 $

Cuanto recibiré de cambio  76 $

Step-by-step explanation:

Mis compras son:

1 lápiz       3,50 $

2 plumas  7,90 $

1Libreta   12,60 $

Lo que quiere decir que compre:

3,50 + 7,90 + 12,60  =  24 $

Si cancelo mis compras con un billete de 100 $ me tienen que dar vuelto por:

100 $  -  24  $  =  76 $

5 0
3 years ago
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