Multiply by 10s 3,721 times 30 I NEED DONE ASAP PLEASE

Question 1 Which of the following statements is NOT true?

Olin [163]

Answer:

the bottom one

Step-by-step explanation:

They are both the same ab and bc but im not entirely sure

4 0

3 years ago

Read 2 more answers

Find the exact value of tan(165°) using a difference of two angles

Katyanochek1 [597]

Answer: $-2+\sqrt{3}$

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Work Shown:

Apply the following trig identity

$\tan(A - B) = \frac{\tan(A)-\tan(B)}{1+\tan(A)*\tan(B)}\\\\\tan(225 - 60) = \frac{\tan(225)-\tan(60)}{1+\tan(225)*\tan(60)}\\\\\tan(165) = \frac{1-\sqrt{3}}{1+1*\sqrt{3}}\\\\\tan(165) = \frac{1-\sqrt{3}}{1+\sqrt{3}}\\\\$

Now let's rationalize the denominator

$\tan(165) = \frac{1-\sqrt{3}}{1+\sqrt{3}}\\\\\tan(165) = \frac{(1-\sqrt{3})(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\\tan(165) = \frac{(1-\sqrt{3})^2}{(1)^2-(\sqrt{3})^2}\\\\\tan(165) = \frac{(1)^2-2*1*\sqrt{3}+(\sqrt{3})^2}{(1)^2-(\sqrt{3})^2}\\\\\tan(165) = \frac{1-2\sqrt{3}+3}{1-3}\\\\\tan(165) = \frac{4-2\sqrt{3}}{-2}\\\\\tan(165) = -2+\sqrt{3}\\\\$

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As confirmation, you can use the idea that if x = y, then x-y = 0. We'll have x = tan(165) and y = -2+sqrt(3). When computing x-y, your calculator should get fairly close to 0, if not get 0 itself.

Or you can note how

$\tan(165) \approx -0.267949\\\\-2+\sqrt{3} \approx -0.267949$

which helps us see that they are the same thing.

Further confirmation comes from WolframAlpha (see attached image). They decided to write the answer as $\sqrt{3}-2$ but it's the same as above.

5 0

3 years ago

Michael bought 0.44 pound of sliced turkey. What is the value of the digit in the hundredths place?

slega [8]

Michael bought 0.44 pound of sliced turkey.
Now, we need to find what digit is in the value of hundredths.
Note, that the place value is hundredths with ths. Thus, the value is in the decimal points.
And the value that Michael bought is a decimal number as well.
Not, let us find the value of hundredths.
=> 0.44 pounds
=> .4 = tenths
=> 0.04 = hundredths.
Thus the value of hundredths is 4 or 0.04 or 4/100 in fraction form.

3 0

3 years ago

Solve for x and y...............

sladkih [1.3K]

Answer:

9. $x=30, y=10\sqrt{3}$