All categories

3 years ago

The sum of the measures of the interior angles of a polygon with n sides is

Mathematics

1 answer:

defon3 years ago

8 0

ANSWER

$(n - 2) \times 180 \degree$

EXPLANATION

The sum of the interior angles of a triangle is 180°

We can rewrite this as:

$1 \times 180 \degree = (3 - 2) \times 180 \degree = 180 \degree$

The sum of interior angles of a quadrilateral is 360°

We can also rewrite this as:

$2 \times 180 \degree = (4- 2) \times 180 \degree = 360 \degree$ In general an n-sided polygon has

the sum of the interior angles given by the formula:

$(n - 2) \times 180$

You might be interested in

Help me this is due today

Arte-miy333 [17]

Answer:

There is no question bud

Step-by-step explanation:

Where is the question?

8 0

3 years ago

Which shows 2.6x10^4 in standard notation

timofeeve [1]

Hi. The answer is 26000

7 0

3 years ago

A rocket is launched straight up from the ground with an initial velocity of 192 feet per second. The equation for the height of

Ivenika [448]

The equation for the height of the rocket at time t given

$h= -16t^2+192t$

We have to find the time t, when the rocket reaches 560 feet.

That means we have to find t when h = 560 ft. we will place 560 in the place of h to find t now.

$h= -16t^2+192t$

$560 = -16t^2+192t$

In the right side, we can check -16 is the common factor. So we will take out -16 from the rigbht side.

$560 = -16(t^2 - 12t)$

To get rid of -16 from the right side and move it to left side, we will divide both sides by -16.

$560/-16 = -16(t^2-12t)/-16$

$-35 = t^2 -12t$

Now we will move -35 to the righ side by adding 35 to both sides.

$-35+35 = t^2-12t+35$

$0 = t^2 -12t+35$

$t^2-12t+35 = 0$

We will factorize thee left side to find the values of t now. We need to find a pair of factors of 35 that by adding them we will get -12.

The pair of factors of 35 are -5 and -7 and by adding -5-7 we will get -12.

$t^2-12t+35 =0$

$(t-5)(t-7) =0$

So by using zero product property we will get

$t-5 =0$

$t-5+5 = 0+5$

$t=5$

Also $t-7 =0$

$t-7+7 = 0+7$

$t=7$

So we have got the rocket reaches at 560ft when t = 5 seconds and also when t = 7 seconds.

Now part b.

When the rocket completes its trajectory and hits the ground then the height or h = 0. So we will place h = 0 there in the equation.

$h= -16t^2+192t$

$0= -16t^2 + 192 t$

$0 = -16(t^2-12t)$

$-16(t^2-12t) = 0$

We will move -16 to the other side by dividing it to both sides.

$-16(t^2-12t)/-16 = 0/-16$

$t^2-12t = 0$

We will take out the common factor t from the left side. By taking out t we will get,

$t(t-12) = 0$

We will use zero product property now. By using that we will get,

$t = 0$

ans also $t-12 = 0$

$t-12+12 = 0+12$

$t = 12$

When the rocket completes its trajectory and hits the ground the time t can not be 0. When t =0, the rocket starts the trajectory.

So when the rocket completes its trajectory and hits the ground ,

then t = 12seconds.

So we have got the required answers.

6 0

3 years ago

Where might be a lesser sooty owl be found sleeping?

emmainna [20.7K]

The Lesser Sooty Owl is a strictly nocturnal bird. Hides & sleeps during the day in dense foliage, between tangles of aerial roots, in all kinds of crevices, or beneath overhanging banks. Hunts in clearings and near roads, but also inside forest.

8 0

3 years ago

Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. Fo

Semenov [28]

Complete Question

Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 14 stations last Tuesday, the correlation was 0.65.At the 0.01 significance level Can the company conclude that the correlation is positive

Answer:

Yes the company conclude that the correlation is positive

Step-by-step explanation:

From the question we are told that

The sample size is n = 14

The correlation is r = 0.65

The null hypothesis is $H_o : r < 0$