Which shows 552 − 452 being evaluated using the difference of squares method?

2 answers:

8 0

The correct answer for the question that is being presented above is this one: "552 − 452 = (55 + 45)(55 − 45) = (100)(10) = 1,000." The equation that shows 552 − 452 being evaluated using the difference of squares method is this <span>552 − 452 = (55 + 45)(55 − 45) = (100)(10) = 1,000</span>

Marat540 [252]2 years ago

7 0

Answer: Third Option is correct.

Step-by-step explanation:

Since we have given that

$55^2-45^2$

We need to evaluate using the difference of squares method:

So, here, a = 55

b = 45

so, it becomes,

$a^2-b^2=(a+b)(a-b)\\\\55^2-45^2=(55-45)(55+45)\\\\55^2-45^2=10\times 100\\\\55^2-45^2=1000$

Hence, Third Option is correct.

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fiasKO [112]

Answer: $tan(E)=1.70$

Step-by-step explanation:

For this exercise you need to remember the following Trigonometric Identity:

$tan\alpha =\frac{opposite}{adjacent}$

You must observe the figure given in the exercise.

You can notice that the given triangle EFG is a Right triangle (Right triangles are defined as those triangles that have an angle that measures 90 degrees).

So, you can identify in the figure that:

$\alpha=E\\\\ opposite=FG=56\\\\adjacent=EF=33$

So, knowing these values, you can substitute them into $tan\alpha =\frac{opposite}{adjacent}$ and then you must evaluate (Remember to round the result to the nearest hundreth).

Therefore, through this procedure you get:

$tan(E)=\frac{56}{33}\\\\tan(E)=1.70$