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Fittoniya [83]
4 years ago
14

MODULAR ARITHMETIC If it is 9 o'clock now,what will it be in 111 hours .

Mathematics
1 answer:
zhenek [66]4 years ago
3 0

Answer:

12 o'clock.

Step-by-step explanation:

As we are talking time we work in mod 12.

9 mod12 + 111 mod12

= (9 + 111) mod12

= 120 mod 12

= 0.

So the time will be 12 o'clock.

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∠xangle, x and \angle y∠yangle, y are supplementary angles. \angle y∠yangle, y measures 97^\circ97 ∘ 97, degrees. What is the me
gtnhenbr [62]

Answer:

83°

Step-by-step explanation:

Since angle x and angle y are supplementary angles,

x + y = 180°.

Since y = 97°

x = 180° - y = 180° - 97° = 83°

8 0
3 years ago
What is the 12th term of the sequence 3,6,12,24....
Sati [7]
a_{0}=3

r=common ratio: 12/6=2; 6/3=2

r=2, a_{n}=2^{n-1}*3

plug in 12 for n:

a_{12}=2^{12-1}*3

a_{12}=2^{11}*3

a_{12}=2048*3

a_{12}=6144

The twelfth term in the sequence is 6144


 




7 0
4 years ago
Read 2 more answers
a House sits on a 5/8 acre lot and 1/2 of the lot is lawn. 2/3 of lawn was mowed. how much was mowed?
eimsori [14]

5/8 x 1/2 = 5/16 acre is lawn

5/16 x 2/3 = 10/48 reduces to 5/24 of the lawn was mowed

3 0
3 years ago
In how many ways can the letters of the word POLICEMAN be arranged if the 'word' must begin with L and end with a vowel? & W
Vladimir79 [104]

Answer:

20160 ways

Probability = 0.0556

Step-by-step explanation:

We have 9 different letters, so the total number of words we can make is:

Total = 9! = 362880\ words

If we want just the words that begin with L and end with a vowel, we would have the first letter "locked", so we have 8 letters remaining, and it must end with a vowel, so the last "slot" has just 4 possible values (A, E, I or O). Then we would have 4 possible values for the last letter and 7 remaining letters in the middle of the word:

N = 4 * 7! = 4*7*6*5*4*3*2 = 20160\ words

The probability is calculated by the division of the number of words we want over the total number of words:

P = N / Total = 20160 / 362880 = 0.0556

5 0
3 years ago
 How long would it take an ostrich to run from Halifax to Vancouver it did not have to stop it run 80 km an hour
Katen [24]

Answer:

76 hours and 37 minutes

this is a weird question btw

5 0
3 years ago
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