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natita [175]
3 years ago
13

ABCDEFGH is a regular octagon. The minimum degree of rotation by which this octagon can map onto itself is °. It will take incre

ments of that degree of clockwise rotation for A′ (the image of A) to coincide with C.
Mathematics
2 answers:
umka21 [38]3 years ago
8 0

Answer:

Step-by-step explanation:

ABCDEFGH is a regular octagon. The minimum degree of rotation by which this octagon can map onto itself is °.

Since it is a regular octagon, rotation can be done about the centre to the angle.

The central angle subtended by each side to the centre is 360/8 = 45 degrees.

Hence A will become B when rotated about 45 degrees.

Thus rotation requires 45 degrees abut the center.

ycow [4]3 years ago
4 0
The minimum  degrees  to map onto itself is 360/5  = 45 degrees.

It will take 2 increments  for A' to coincide with C.
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1/9 times 3/1 = 1/3. Now divide 1/3 by 5 or multiply by 1/5 and you get 1/15. There's your answer
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The variable y is directly proportional to the variable x. If y = 32 when x = 20, what is the value of x when y = 40?
elena55 [62]

Answer:

The Correct option is C ) 25

Therefore the value of x is 25 when y =40.

Step-by-step explanation:

Given:

Variable 'y' is directly proportional to the variable 'x'.

\therefore y=kx     ......Direct Variation

Where,

k = Constant of proportionality

To Find:

value of x = ? when y = 40

Solution:

First we need to find Constant of proportionality

When x = 20 and y = 32

Substituting the values we get

32=k\times 20\\k=\dfrac{32}{20}=1.6\\\\k=1.6

Now when k =1.6 , y = 40 then x will be

40=1.6\times x\\\\x=\dfrac{40}{1.6}=25\\\\x=25

Therefore the value of x is 25 when y =40.

6 0
3 years ago
Solve the inequality:<br> 5 (2h+8) &lt; 60
sashaice [31]

Answer:

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5 0
3 years ago
You and three friends go out to eat and decide to split the bill evenly. The food you order comes to a total of $48. If you leav
zloy xaker [14]

Answer:

11.64

Step-by-step explanation:

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3 years ago
What is 0.1m + 8 - 12n when m = 30 and n= 1/4
tia_tia [17]

Answer:

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3 0
3 years ago
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