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LiRa [457]
3 years ago
15

Given a regular 26 sided polygon, complete the following statements. ​

Mathematics
1 answer:
ser-zykov [4K]3 years ago
5 0

Answers:

  • Sum of the interior angles = 4320
  • One interior angle = 166.15

=======================================================

Work Shown:

n = number of sides = 26

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

S = 180(26-2)

S = 180(24)

S = 4320 degrees is the sum of the interior angles.

i = measure of one interior angle of a regular polygon

i = S/n

i = 4320/26

i = 166.1538 approximately

i = 166.15 degrees is the approximate measure of each interior angle.

Side note: The formula to determine the interior angle i only works for regular polygons. This is because each angle is the same measure.

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Suppose a deep sea driver dives from the surface to 248 feet below the surface. He then dives down 10 more feet. Use integers yo
Akimi4 [234]

Answer:

Initial dive: - 248 (below the surface which represents '0')

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Present depth -248 + -10 = -258 feet below the surface

Step-by-step explanation:

We can use negative integers to represent real-world scenarios such as in elevation and descent, bank account balances and temperatures.  In this case, because a diver is descending below the surface of the water, the surface of the water represents the '0' and going down into the water would be negative integers.  So, his initial dive is 248 down, or negative 248 (-248), he then dives down an additional 10 feet, or negative 10 (-10).  Since the second dive is in addition to his initial dive, we add the two integers together:

-248 + -10 = -258 feet

5 0
3 years ago
Function rule y=3x-3
lianna [129]

Answer:

-15, -9, -3, 3

Step-by-step explanation:

First One:

y =3(-4)-3 is -15

Second:

y= 3(-2)-3 is -9

Third:

y= 3(0)-3 is -3

Last One:

y= 3(2)-3 is 3

4 0
4 years ago
There are two vendors at the fair sleeping snow cones for the same price. If the containers are completely filled and then level
aliya0001 [1]

Answer:

d =  787.81cm^3

Step-by-step explanation:

Given

See attachment for the containers

Required

The difference in the amount of snow cone they hold

The amount they hold is determined by calculating the volume of the containers.

The traditional snow cone has the following dimension

Shape: Cone

r=4cm --- radius

h = 13cm --- height

The volume is calculated as:

Volume = \frac{1}{3} \pi r^2h

So, we have:

V_1 = \frac{1}{3} \pi * 4^2 * 13

V_1 = \frac{208}{3} \pi

The snow cone in a cup has the following dimension

Shape: Cylinder

r=8cm --- radius

h = 5cm --- height

The volume is calculated as:

Volume =  \pi r^2h

So, we have:

V_2 =  \pi *8^2 * 5

V_2 =  \pi *320

V_2 =  320\pi

The difference (d) in the amount they hold is:

d = V_2 - V_1

d = 320\pi - \frac{208\pi}{3}

Take LCM

d =  \frac{3*320\pi -208\pi}{3}

d =  \frac{960\pi -208\pi}{3}

d =  \frac{752\pi}{3}

Take \pi = 22/7

d =  \frac{752}{3} * \frac{22}{7}

d =  \frac{752 * 22}{3*7}

d =  \frac{16544}{21}

d =  787.81cm^3

4 0
3 years ago
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