$7.50 per hour times <span>32.5 hours equals $243.75
$ 7.50 per hour
x 32.5 worked hours
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$243.75 is her check</span>
Hello!
The sin of D would be the opposite side divided by the hypotenuse. As we have no hypotenuse length, neither A or D would work, as the cosine also involves the hypotenuse.
The tangent is the opposite divided by the adjacent. This would be, in terms of D, 24/31. This does not match our option.
In terms of K, the tangent is 31/24.
Therefore, our answer is C) tanK= 31/24
I hope this helps!
18 is the least common denominator of all the fractions, so you can eliminate fractions by multiplying the equation by 18.
(4.5*18)x +((7/9)*18)x + (2 1/3)*18 + ((1/6)*18)x = (5 1/18)*18
81x +14x +42 +3x = 91 . . . . . simplify
Collect terms.
98x + 42 = 91
98x = 49 . . . . . . . . . subtract 42
x = 49/98 = 1/2
The solution is x = 1/2.
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You can also do the arithmetic with mixed numbers and fractions. The usual methods apply.
(4.5 + 7/9 + 1/6)x + 2 1/3 = 5 1/18
(49/9)x + 7/3 = 91/18
(49/9)x = 49/18 . . . . . . . subtract 7/3
x = (9/49)(49/18) = 9/18 = 1/2 . . . . . multiply by 9/49
This can be a little more tedious than the method above, but it works and it will give you the right answer. A calculator that works with fractions can make this solution as easy as the other one.
Answer:
Oddly, though, the snake was cut into eight pieces, rather than 13. The head of the snake was labeled “N.E.,” signifying the four New England colonies of New Hampshire, Massachusetts, Connecticut and Rhode Island, which Franklin combined to emphasize the importance of unity. Other pieces were marked to signify New York, New Jersey, Pennsylvania, Maryland, Virginia, North Carolina, and South Carolina. Delaware, which shared a governor with Pennsylvania, and Georgia, a newer colony that Franklin didn’t think could contribute much to colonial defense, were left out.
Franklin’s cartoon had another advantage. “Literacy was not high in that day,” Dewey notes, so the drawing and its message provided a way to reach colonists who might not have been able to read his editorial.
Franklin published the image with a specific political objective in mind. At the time, he was preparing to join other colonial leaders at the Albany Congress, a meeting called to discuss how they should deal with the growing military threat from the French and their Native American allies. Franklin thought that the colonies needed to join together in a strong alliance. He proposed a unified colonial government that could levy taxes and form a military, governed by a council of representatives from each of the colonies and headed by a President General appointed by the British monarch.
Step-by-step explanation:
Step-by-step explanation:
Total names = 9
Probability of name starting with b = 2/9