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densk [106]
3 years ago
8

What is the sum of the interior angles, each interior angle, the central angle, and each exterior angle of a pentagon, a hexagon

, an octogon, a nonagon, a decagon and a dodecagon.
Mathematics
1 answer:
WITCHER [35]3 years ago
3 0
<span>Sum of Interior Angles: Formula: (n-2) * 180
-Pentagon: 540</span>°<span>
-Hexagon: 720</span>°<span>
-Octagon: 900</span>°<span>
-Nonagon: 1260</span>°<span>
-Decagon: 1440</span>°<span>
-Dodecagon: 1800</span>°

Each interior Angle: Formula: [(n-2)*180] / n
-Pentagon: 108°
-Hexagon: 120°
-Octagon: 135°
-Nonagon: 140°
-Decagon: 144°
-Dodecagon: 150°

The sum of the exterior angles of each polygon stated above is equal to 360 degrees. Using the formula: (180-interior angle) * n

The central angle is formed by making a circle in the middle and divide it by the number of sides. Therefore, CA = 360 /n
-Pentagon: 72°
-Hexagon: 60°
-Octagon: 45°
-Nonagon: 40°
-Decagon: 36°
-Dodecagon: 30°

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What is the decimal equivalent of the fraction -68 / 255
garri49 [273]

This is just a calculator problem.

+/- This will turn 68 into a minus when you enter it. On some calculators it is the (-) key.

68

÷

255

=

-0.266666666 is what you should get.


5 0
2 years ago
A 5-meter ladder is leaning against the side of a house. The foot of the ladder is pulled away from the house at a rate of 0.4 m
Flura [38]
<h2>The top of the ladder is descending at 0.3 m/s.</h2>

Step-by-step explanation:

By Pythagoras theorem we know that

              Hypotenuse² = Base² + Perpendicular²

                   h² = b² + p²

We have for ladder

                        h = 5 m

                        b = 3 m

                        5² = 3² + p²

                        p = 4 m

                        \frac{db}{dt}=0.4m/s\\\\\frac{dh}{dt}=0

Differentiating h² = b² + p² with respect to time

                    2h\times \frac{dh}{dt}=2b\times \frac{db}{dt}+2p\times \frac{dp}{dt}\\\\5\times 0=3\times 0.4+4\times \frac{dp}{dt}\\\\\frac{dp}{dt}=-0.3m/s

The top of the ladder is descending at 0.3 m/s.

3 0
3 years ago
Keegan leans an 18-foot ladder against the top of a wall. The bottom of the ladder is 4.5 feet from the base of the wall. What i
zaharov [31]

Answer: C. 17.5 feet

Step-by-step explanation:

The attached photo shows the triangle ABC formed by the ladder and the wall. It is a right angle triangle because one of its angles is 90 degrees. The ladder is the hypotenuse of the triangle. To determine the height of the wall, we would find BC by applying Pythagoras theorem

Hypotenuse^2 = opposite ^2 + adjacent^2

18^2 + 4.5^2 + BC^2

BC^2 = 324 - 20.25 = 303.75

BC = √303.75 = 17.5 feet.

3 0
3 years ago
What objects in your everyday lives are in the shape of a triangular prism?
Svetach [21]

Answer:

wedge of cheese, slice of watermelon, slice of cake, roof of a house, door-stopper

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
If kevin makes c toys in m minutes, how many toys can he make per hour
mina [271]

Answer:

\frac{60c}{m}

Step-by-step explanation:

We can use the unity rule to solve this problem.

Number of toys made in m minutes = c

Number of toys made in 1 minute = \frac{c}{m}

Number of toys made in 60 minutes = \frac{c}{m} \times 60 = \frac{60c}{m}

Since 60 minutes = 1 hours, we can write:

Number of toys made in 1 hour = \frac{60c}{m}

Therefore, we can say that Kevin makes \frac{60c}{m} toys per an hour.

7 0
3 years ago
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