Answer:
Step-by-step explanation:
Given
Required
Find equivalent between 0 to 180;
Let 24 be represented by 
So, 
From Trigonometry ratios;
where 
Recall that
So, we have to substitute 24 for in the above expression.
This gives
Subtract 24 from 180
Hence, the equivalent of is
The answer is 3. Divide 5375 by 4 to get 1343.75. Remainder for each friend is .75, so multiply .75 by 4. 3 cards left over.
Answer:
21/676
Step-by-step explanation:
The total number of letters of the alphabet will be the total outcome which is 26 alphabets.
If consonant numbers are drawn out, the probability of drawing a consonant will be total consonants/total alphabets
Total consonants in the alphabet is 21.
Probability of drawing consonants = 21/26.
Since all the consonants are replaced before drawing a Z, our total outcome will not change i.e it will still be 26.
Probability of drawing a letter Z will be 1/26.
Therefore, the probability of drawing a consonant,replacing it, and then drawing a Z will be;
21/26×1/26
= 21/676
We have
x² + 24x = 17 (1)
Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.
Therefore
x² + 24x = (x+12)² - 144 (2)
Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161
Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.
