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3 years ago

The minimum degree of rotation by which this octagon can map onto itself is?

2 answers:

8 0

Octogon has 8 vertices
to map onto itself, it goes to another vertex
assuming that it is a regular octogon
center=360
each vertex=360/8=45 degrees

therfor it moves 45 degrees to get to next verte which is same

45 degrees

Art [367]3 years ago

6 0

Answer:

The answer is 45 degrees.

Step-by-step explanation:

The minimum degree of rotation by which this octagon can map onto itself is 45 degrees.

A full rotation is 360°. One eighth of a rotation is $360/8=45$ degrees, and each one eighth of a rotation will map a regular octagon onto itself.

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Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 50 provided a sample mean of 19.4. The population stand

goblinko [34]

Answer: p-value is 0.016.

Step-by-step explanation:

Since we have given that

$H_0:\mu=20\\\\H_a:\mu$

Sample mean = 19.4

Sample size n = 50

Standard deviation = 2

We need to find the test statistic value which is given by

$z=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\\\z=\dfrac{19.4-20}{\dfrac{2}{\sqrt{50}}}\\\\\\z=\dfrac{-0.6}{0.28}\\\\z=-2.14$

p-value is given by

$P(Z>Z_{critical})\\\\=P(Z>-2.14)\\\\=0.016$

Hence, p-value is 0.016.

8 0

3 years ago

Is 1/10, 1/4, and 1/8 more or less than 1/2

ryzh [129]

Answer:

They are less than 1/2

Step-by-step explanation:

5 0

3 years ago

Please help solveeeeee

Juliette [100K]

Answer:

The answer is C and D.

Step-by-step explanation:

(-4)^1/2 = undefined

(-16)^1/4 = undefined

(-32)^1/5 = -2

(-8)^1/3 = -2

6 0

2 years ago

Geometric mean Pls help thank u

quester [9]

Answer:

Step-by-step explanation:

1). Geometric mean of a and b = $\sqrt{a\times b}$

Therefore, geometric mean of 2 and 50 = $\sqrt{2\times 50}$

= 10

2). By geometric mean theorem,

$\frac{JM}{KM}=\frac{KM}{ML}$

$\frac{6}{e}=\frac{e}{24}$

e² = 6 × 24

e = √144

e = 12

Similarly, $\frac{JL}{KJ}=\frac{KJ}{JM}$

$\frac{6+24}{d}=\frac{d}{6}$

d² = 6 × 30

d = √180

d = 6√5

And $\frac{JL}{KL}=\frac{KL}{ML}$

$\frac{6+24}{c}=\frac{c}{24}$

c² = 30 × 24

c = √720

c = 12√5

3 0

3 years ago

Factor the polynomial. x2 - 5xy + 6y2 A) (x - 3)(x - 2) B) (x - 6y)(x + y) C) (x - 3y)(x - 2y) D) (x + 3y)(x + 3y)

Elden [556K]

X^2 - 5xy + 6y^2 = (x - 3y)(x - 2y)

answer is C) (x - 3y)(x - 2y)

hope that helps

8 0

3 years ago