All categories

3 years ago

2. Determine the sum of the measures of the interior angles of a dodecagon.

Mathematics

1 answer:

Lemur [1.5K]3 years ago

4 0

9514 1404 393

Answer:

1800°

Step-by-step explanation:

The interior angles of a convex polygon with n sides have the sum ...

angle sum = (n -2)×180°

For the 12-sided dodecagon, the angle sum is ...

angle sum = (12 -2)×180° = 1800°

You might be interested in

Jessica plants a seed 3 1/2 inches below the ground. The plants grows from 15 3/4 inches . What is the height of the plant above

RSB [31]

Answer:

49/4 inches

Step-by-step explanation:

Inches below ground= 3 1/2 inches

Plant's full height=15 3/4 inches

Height above ground = 15 3/4 inches -3 1/2 inches

63/4 - 7/2

63-14/4

49/4 inches

6 0

2 years ago

What is the volume for a hemisphere.

qaws [65]

That is half of a sphere which has a volume of (4pr^3)/3. So half of that is:

(2pr^3)/3

3 0

3 years ago

Read 2 more answers

Explorers on a planet with a thin atmosphere want to measure the acceleration of gravity at its surface. So they use a spring gu

Murljashka [212]

Answer:

The value of $g_s$ is $g_s=\frac{30}{21} \:\frac{m}{s^2}$ .

Step-by-step explanation:

We know that the position function is given by

$s(t)=30t-\frac{g_s}{2} t^2$

Velocity is defined as the rate of change of position. Therefore,

$v(t)=\frac{d}{dt}(s(t))$

So, the velocity function is

$v(t)=\frac{d}{dt}(s(t))\\\\v(t)=\frac{d}{dt}(30t-\frac{g_s}{2} t^2)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\v(t)=\frac{d}{dt}\left(30t\right)-\frac{d}{dt}\left(\frac{g_s}{2}t^2\right)\\\\v(t)=30-g_st$

When a body reaches a vertical velocity of zero, this is the maximum height of the body and then gravity will take over and accelerate the object downward. Thus,

$v(t)=30-g_st=0\\\\g_s=\frac{30}{t}$

We know that the ball bearing reaches its maximum height 21 seconds after being launched (t = 21 s).

So, the value of $g_s$ is $g_s=\frac{30}{21} \:\frac{m}{s^2}$ .

5 0

4 years ago

he diagonal of a TV set is 52 inches long. Its length is 28 inches more than the height. Find the dimensions of the TV set. The

uysha [10]

Yup yea you got that yummy yummy

6 0

3 years ago

Trigonometry find the missing side

Katarina [22]

Step-by-step explanation:

griminology is one of part of body

5 0

3 years ago

2. Determine the sum of the measures of the interior angles of a dodecagon.​

2. Determine the sum of the measures of the interior angles of a dodecagon.