Ask question

Ask question

All categories

3 years ago

12

a) How many triangles are created when diagonals are drawn from a single vertex in an n-gon? b) What is the sum of interior angl

es in an n-gon? How did you determine this?

1 answer:

storchak [24]3 years ago

4 0

Hey the answers are
a] two triangles
b] (n2)180 degree

You might be interested in

Solve the following inequality. Then place the correct answer in the box provided. 2x < 8 If someone could please explain it

Tanya [424]

When solving an inequality, the rules are similar to solving an equation, but instead there's an inequality sign. The only thing to be careful about when solving an inequality is that when you multiply/divide by a negative number, you have to flip the inequality sign, but you don't have to worry about that here!

So you have 2x < 8.

Divide both sides by 2 to isolate the variable, x:
$2x \ \textless \ 8\\
x \ \textless \ 4$

Your final inequality is x < 4.

8 0

4 years ago

Read 2 more answers

I am Lyosha [343]

Central angle = 360 / 24 = 15 degrees

ARc length = r * theta, where theta is the angle in radians and r = radius
= 15 * 15 * pi/180
= 3.93 feet to nearest hundredth.

Area of sector = area of circle / 24 = pi*15^2 / 24 = 29.45 ft^2

6 0

3 years ago

A designer is creating a rug for an oddly-shaped room. His design for the rug is shown below. If each blue square represents 1 s

likoan [24]

Answer:

btw we cant see the image sorry

Step-by-step explanation:

3 0

3 years ago

Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and t

Lilit [14]

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x $1.025^n$ , where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

$C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx$

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

6 0

3 years ago

What is the interquartile range of a data set? <br> what does the IRQ tell you about a data set?

Naddik [55]

Answer:

I would help you... But I think that you are supposed to have a picture and there is no picture.

4 0

4 years ago