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2 years ago

PLEASE HELP!!!! What is the smallest degree of rotation that will map a regular 20-gon onto itself?

Mathematics

1 answer:

saveliy_v [14]2 years ago

8 0

Answer: $18^{\circ}$

Step-by-step explanation:

For a regular 20-gon, since there are 20 vertices that the polygon can be rotated and be mapped onto itself .Thus the order of symmetry of 20-gon is 2.

To find the degrees of rotational symmetry, we need to divide 360° by the order of symmetry.

Thus, the degree of rotation= $\frac{360^{\circ}}{20}=18^{\circ}$

Hence, the smallest degree of rotation that will map a regular 20-gon onto itself= $18^{\circ}$

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Find the circumference of a circular field with a diameter of 16 yards.<br> (Let it = 3.14)

Tatiana [17]

Answer:

Hey there!

The circumference of a circle is $\pi(d)$ , where d is the diameter, and $\\\pi$ is a constant roughly equal to 3.14.

The diameter is 16, so plugging this into the equation, we get 3.14(16)=50.24.

The circumference of the circle is 50.24 yards.

Hope this helps :)

3 0

3 years ago

A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip upstream took 14 hours. What is the s

Alexeev081 [22]

x - boat speed; y - current speed; Path = 336:2 = 168 miles

1) 12 * (x + y) = 168; -> x + y = 14;

2) 14 * (x - y) = 168; -> x - y = 12;

1) x = 14 - y;

2) (14 - y) - y = 12;

14 - 2y = 12;

2y = 2;

y = 1 mph

x = 14 - 1 = 13 mph

Answer:

Boat speed = 13 mph

Current speed = 1 mph

3 0

3 years ago

A rectangular pool contains 920 cubic meters of water. the pool is .4 meter deep and 100 meters wide. How long is the pool?

LekaFEV [45]

Hi there,

Sol:
Length of the swimming pool = 260 m
Breadth of the swimming pool = 140 m

Let the height of the water in the swimming pool after pouring water be h meters.

Volume of the water poured = 54600 m3

l x b x h = 54600
260 x 140 x h = 54600
h = (54600) / (260 x 140)
h = 1.5 m = 150 cm

Hope it helps

5 0

2 years ago

The cost of painting the total outside surface of a closed cylindrical tank at 60 paise per meter squae is Rs237.60. The height

valkas [14]

Answer:

$volume=509.25 dm^{3}$

Step-by-step explanation:

Curved surface area= $\frac {237.6}{0.6}=396 dm^{2}=2\pi R(R+H)$ where R is radius and H is height

Since H=6R then curved surface area= $2\pi R(R+6R)=14\pi R^{2}$

Therefore,

$396 dm^{2}=14\pi R^{2}$ and making R the subject

$R=\sqrt {\frac {396}{14\pi}}=\sqrt {(9.003622)}= 3.000604 m$

Therefore, H=6R=6*3.000604=18.00362 m

$Volume=\pi R^{2}H=\pi*3.000604^{2}*18.00362=509.2453 dm^{3}$

Therefore, $volume=509.25 dm^{3}$

6 0

2 years ago

at the dog show, there are 4 times as many boxer as spaniels. if there are a total of 30 dogs, how many dogs are spaniel?

Lyrx [107]

Firstly, given this information there could be 25 labradors and poodles and only 4 boxers and 1 spaniel. However, assuming that there are only boxers and spaniels at the dog show the first thing to do is to divide 30 by 5 = 6 so the answer is, There are 6 spaniels.

5 0

3 years ago