HELP ITS MY LAST QUESTION WITH STEP BY STEP
2 answers:
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9514 1404 393
Answer:
(b) 15.32
Step-by-step explanation:
You can use your triangle sense to answer this.
The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.
If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.
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The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(50°) = x/20
x = 20×sin(50°) . . . . multiply by 20 to find x
x ≈ 15.32 . . . . . . . . . use your calculator to evaluate
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The attachment is intended to show how the triangle side lengths change with angle.
It's a factor. This concept is widely used throughout algebra, and you'll probably bump into it through the end of high school and beyond.
A common use is expressing a term in <em>prime factorization</em>, or reducing a number to its most base parts- primes. For example:
Of course, a number like 13 which is already prime is made up of itself and 1. <em>Factors do not have to be primes.</em> 20 is also reducible through combinations of 1, 2, 4, 5, 10, and 20. Prime factorization is just a handy example.
Basically, factors multiply with each other to create other numbers, and numbers can be reduced down to their factors.
( -6) - ((-2) - 5) × 2
First, simplify your brackets. / Your problem should look like:
Second, simplify -2 - 5 to get -7. / Your problem should look like:
Third, multiply 7 × 2 to get 14. / Your problem should look like:
Fourth, simplify. / Your problem should look like:
Answer: 8
First, simplify your brackets. / Your problem should look like:
Second, simplify -2 - 5 to get -7. / Your problem should look like:
Third, multiply 7 × 2 to get 14. / Your problem should look like:
Fourth, simplify. / Your problem should look like:
Answer: 8