Answer:
1) D
2) 10
Step-by-step explanation:
sin(30) = opposite/hypotenuse
sin(30) = 5/x
½ = 5/x
x = 5/0.5
x = 10
After you've calculated a least common multiple, always check to be sure your answer can be divided evenly by both numbers. Find the LCM of these sets of numbers. Multiply each factor the greatest number of times it occurs in any of the numbers. 9 has two 3's, and 21 has one 7, so we multiply 3 two times, and 7 once.
Answer:
The answer is 9x² - 6x - 1
Step-by-step explanation:
∵ (6x³ + x² - 10x - 1) - (6x³ - 8x² - 4x) =
0 + 9x² - 6x - 1 = 9x² - 6x - 1
N% x 1.60 = 6 (I turned it from English to math)
Can't move n% back two places to make it a decimal so I will move the number I am multiplying by n% back two places instead.
Here is a sample to show you why it works. .34 x 57 = 34 x .57
So
.016n = 6 (.016 is 1.60 decimal moved back two places)
Now divide both sides by .016
<u>.016</u>n = <u>6
</u><u />.016 .016 n = 375%
Why is the percent over 100% you might ask?
What % of 1.60 is 1.60 (Answer - all of it or 100%)
So What % of 1.60 is 6 - the number 6 being much bigger than 1.60, it is not surprising that the percent is more than 100.
What % of 1.60 is 1.60 - 100%
What % of 1.60 is 3.20 - 200% (notice that 3.20 is twice 1.60)
What % of 1.6 is 4.80 - 300% (notice that 4.80 is three times 1.60)
What % of 1.6 is 6.40 - 400% (notice that 6.40 is four times 1.60)
6 (the number in the problem) is just a bit less than 6.40 so 375% makes a lot a sense.
Hope you found this helpful.
