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polet [3.4K]
3 years ago
15

HELP FAST In triangle A B C, the right angle is at vertex C, a = 525 cm , b = 700 cm and c = 875 cm. What is the value of sine A

?
Mathematics
1 answer:
Tresset [83]3 years ago
6 0

Answer:

0.6.

Step-by-step explanation:

If the right angle is < C the hypotenuse is c. The opposite side to angle A is a.

So sin A =  a / c

= 525 / 875

= 0.6.

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Please help me i don’t understand this question at all.
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9514 1404 393

Answer:

  D.

Step-by-step explanation:

The wording "when x is an appropriate value" is irrelevant to this question. That phrase should be ignored. (You may want to report this to your teacher.)

When you look at the answer choices, you see that all of them are negative except the last one (D). When you look at the problem fraction, you see that it is positive.

The only reasonable choice is D.

__

Your calculator can check this for you.

  √12/(√3 +3) ≈ 3.4641/(1.7321 +3)

  = 3.4641/4.7321 ≈ 0.7321 = -1 +√3

__

If you want to "rationalize the denominator", then multiply numerator and denominator by the conjugate of the denominator. The conjugate is formed by switching the sign between terms.

  \displaystyle\frac{\sqrt{12}}{\sqrt{3}+3}=\frac{\sqrt{12}}{(\sqrt{3}+3)}\cdot\frac{(\sqrt{3}-3)}{(\sqrt{3}-3)}=\frac{\sqrt{36}-3\sqrt{12}}{3-9}\\\\=\frac{6-3\cdot2\sqrt{3}}{-6}=\boxed{-1+\sqrt{3}}

_____

<em>Additional comment</em>

We "rationalize the denominator" in this way to take advantage of the relation ...

  (a -b)(a +b) = a² -b²

Using this gets rid of the irrational root in the denominator, hence "rationalizes" the denominator.

We could also have multiplied by (3 -√3)/(3 -√3). This would have made the denominator positive, instead of negative. However, I chose to use (√3 -3) so you could see that all we did was change the sign from (√3 +3).

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3 years ago
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A solid bounded by six equal squares, the angle between any two adjacent faces being a right angle.
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3 years ago
Read 2 more answers
Which of the following expressions could represent the total amount withdrawn from Brandon’s checking account during the time pe
den301095 [7]

The Solution:

Given:

Each withdrawal by Brandon = $x

ATM charge per transaction = $2

Required:

To find an expression for Brandon's total withdrawal if he withdraws the same amount once a week for 7 weeks.

Step 1:

We shall find the total amount of each withdrawal, that is, the sum of the amount withdrawn and the ATM charge for the transaction.

\text{ Each withdrawal=x+2=\$(x+2)}

Step 2:

Finding the required total amount, we have:

\text{ Total amount withdrawn=7(x+2)=\$7(x+2)}\begin{gathered} 7(x+2) \\ or \\ 7x+14 \\ \text{ or} \\ 7\mleft(x\mright)+7\mleft(2\mright) \end{gathered}

Therefore, the correct answers are: [options 2, 3, and 4]

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