Answer:
69.4 degrees.
Step-by-step explanation:
Complementary angles add up to 90 degrees so we have the equation:
4x + 3 + x + 4 = 90
5x + 7 = 90
5x = 83
x = 16.6
The larger angle = 4x + 3
= 4(16.6) + 3
= 69.4 degrees (answer).
Answer:
6
Step-by-step explanation:
The overbar means the digit repeats indefinitely. The repeating decimal 0.333... is equivalent to 1/3, so this is the simple addition ...
3 2/3 + 2 1/3 = 5 3/3 = 6
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<em>Comment on the repeating decimal</em>
1/3 = 0.3333... repeating is one of the first decimal equivalents you learn.
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If you're into repeating decimals. you may have learned how to convert them to fractions:
x = 0.3333... repeating . . . . . . . give a name to the value
10x = 3.3333... repeating . . . . . multiply by 10^p where p is the number of digits in the repeating pattern
10x - x = 3.3333... - 0.3333... = 3 . . . . . subtract: the repeating portions cancel
9x = 3 . . . . . . . . . .simplify
x = 3/9 = 1/3 . . . . .divide by the x-coefficient; simplify
Answer:
Therefore, we conclude that the probability is P=0.3456.
Step-by-step explanation:
We know that there is a 0.60 probability that a random student at UMSL has watched Game of Gnomes. We calaculate the probability that 3 of 4 students watched Game of Gnomes.
Therefore, we get:
Therefore, we conclude that the probability is P=0.3456.
Answer:
C. The domain is (-1,+∞), and the range is all real numbers.
Step-by-step explanation:
The domain is (-1,+∞) because the expression ln(x+1) exists only if x>-1
and the range is all real numbers.
check the attached picture for the graph.
