#7 is B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1/20
Step-by-step explanation:
Karina ate 1/2 of the muffins. Ulysses ate 1/4 of the muffins. Zawanna ate 1/5 of the muffins. Juan ate the rest of the muffins. What fraction of the muffins did Juan eat?
Let the total number of muffins = 1
Hence:
The fraction of muffins Juan ate =
1 - (1/2 + 1/4 + 1/5)
Lowest common denominator is 20
1 - ( 10 + 5 + 4/20)
1 - 19/20
= 1/20
The Fraction of muffins Juan ate is 1/20
We have two sides and one angle opposite to one of the known sides.
Begin with applying the Law of Sines to find angle A:

= <span>

Then, solve for sin A:
</span>sin A =

Now, plug in numbers:
sin A = 19 × sin(38) / 10 = 1.17
We know that it does not exist an angle whose sin is bigger than 1, therefore
no triangle is formed.
Answer:
b
Step-by-step explanation:
3/3 = 1
Answer:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
7.75 × 10^−3