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1 year ago

The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation.

Mathematics

2 answers:

Andru [333]1 year ago

7 0

It is B. Since each angle is 60 degrees, if you rotate B counterclockwise 6 times, it means that you rotated B 360 degrees. Therefore, the image of B would be B.

AleksAgata [21]1 year ago

6 0

Answer:

B will be at same place after all six rotations.

Step-by-step explanation:

If rotation maps to $60^{\circ}$

Then [tex]R^6[tex] means six rotations .

The given B after one rotation will shift in place of A

After second rotation will shift in place of F

After third rotation will shift in place of E

After fourth rotation will shift in place of D

After fifth rotation will shift in place of C

After sixth rotation will shift in place of B itself.

Therefore, B will come back to same place after all the required rotations.

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A ship anchored in a port has a ladder which hangs over the side. The length of the ladder is 200cm, the distance between each r

bulgar [2K]

Answer:

The answer to your question is 8 h

Step-by-step explanation:

Data

length of the ladder = 200 cm

distance between each rung = 20 cm

rate = 10 cm/h

fifth rung = ?

Process

1.- Calculate the total distance the tide must rise

distance = 20 cm x 4

= 80 cm because the first rung touches the water

2.- Calculate the time

rate = distance / time

-Solve for time

time = distance / rate

-Substitution

time = 80 cm / 10cm/h

-result

time = 8 h

3 0

1 year ago

Repeated student samples. Of all freshman at a large college, 16% made the dean’s list in the current year. As part of a class p

Dima020 [189]

Answer:

a) p-hat (sampling distribution of sample proportions)

b) Symmetric

c) σ=0.058

d) Standard error

e) If we increase the sample size from 40 to 90 students, the standard error becomes two thirds of the previous standard error (se=0.667).

Step-by-step explanation:

a) This distribution is called the <em>sampling distribution of sample proportions</em> <em>(p-hat)</em>.

b) The shape of this distribution is expected to somewhat normal, symmetrical and centered around 16%.

This happens because the expected sample proportion is 0.16. Some samples will have a proportion over 0.16 and others below, but the most of them will be around the population mean. In other words, the sample proportions is a non-biased estimator of the population proportion.

c) The variability of this distribution, represented by the standard error, is:

$\sigma=\sqrt{p(1-p)/n}=\sqrt{0.16*0.84/40}=0.058$

d) The formal name is Standard error.

e) If we divided the variability of the distribution with sample size n=90 to the variability of the distribution with sample size n=40, we have:

$\frac{\sigma_{90}}{\sigma_{40}}=\frac{\sqrt{p(1-p)/n_{90}} }{\sqrt{p(1-p)/n_{40}}}}= \sqrt{\frac{1/n_{90}}{1/n_{40}}}=\sqrt{\frac{1/90}{1/40}}=\sqrt{0.444}= 0.667$

If we increase the sample size from 40 to 90 students, the standard error becomes two thirds of the previous standard error (se=0.667).

0 0

2 years ago

This year, druehl, inc., will produce 57 comma 60057,600 hot water heaters at its plant in delaware, in order to meet expecte

ivolga24 [154]

If one labour works 200 hours per month, the amount of hot water heaters the labour can produce is = 200 × 0.25 = 50 hot water heaters

The demand is to produce 57600 hot water heaters

The number of labourers employed is 57600 ÷ 50 = 1152 labourers

5 0

2 years ago

There is only one granola bar left out of a pan of 10 bars. if Will and Rachel decide to split the last granola bar what fractio

lesantik [10]

1/20. I believe. One granola bar out of ten is 1/10 and half of a granola bar (or half of 1/10) is 1/20.

6 0

1 year ago

14 T 1,000 lb. + 2 T 1,000

Olegator [25]

The answer will be 17 tons.

Step-by-step explanation:

Since we have given that