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Masja [62]
3 years ago
7

Round 3.5555 to the nearest thousandth

Mathematics
2 answers:
vazorg [7]3 years ago
5 0
3.556 is the right answer
Ivan3 years ago
3 0
The answer would be 3.6000
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Find the longer leg of the triangle.
Paha777 [63]

Answer:

Choice A. 3.

Step-by-step explanation:

The triangle in question is a right triangle.

  • The length of the hypotenuse (the side opposite to the right angle) is given.
  • The measure of one of the acute angle is also given.

As a result, the length of both legs can be found directly using the sine function and the cosine function.

Let \text{Opposite} denotes the length of the side opposite to the 30^{\circ} acute angle, and \text{Adjacent} be the length of the side next to this 30^{\circ} acute angle.

\displaystyle \begin{aligned}\text{Opposite} &= \text{Hypotenuse} \times \sin{30^{\circ}}\\ &=2\sqrt{3}\times \frac{1}{2} \\&= \sqrt{3}\end{aligned}.

Similarly,

\displaystyle \begin{aligned}\text{Adjacent} &= \text{Hypotenuse} \times \cos{30^{\circ}}\\ &=2\sqrt{3}\times \frac{\sqrt{3}}{2} \\&= 3\end{aligned}.

The longer leg in this case is the one adjacent to the 30^{\circ} acute angle. The answer will be 3.

There's a shortcut to the answer. Notice that \sin{30^{\circ}} < \cos{30^{\circ}}. The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the 30^{\circ} angle will be the longer leg. There will be no need to find the length of the opposite leg.

Does this relationship \sin{\theta} < \cos{\theta} holds for all acute angles? (That is, 0^{\circ} < \theta?) It turns out that:

  • \sin{\theta} < \cos{\theta} if 0^{\circ} < \theta;
  • \sin{\theta} > \cos{\theta} if 45^{\circ} < \theta;
  • \sin{\theta} = \cos{\theta} if \theta = 45^{\circ}.

4 0
3 years ago
Read 2 more answers
What is the GCF of 42 and 91?
Neko [114]

Answer:

7

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP!!!! <br> 100 ÷ 25 • 20 + 4 ÷ 2 – 14
Zolol [24]

The answer is 38

Hope this helps : )

3 0
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The length of a string in yards is a function f(n) of the length n in inches. Write a function rule for this situation
igor_vitrenko [27]

Answer:

f(n) = n/36

Step-by-step explanation:

The length of a string is given in yards, is a function f(n) of the length n in inches.

We have to write a function rule for this situation.

∵ 36 inches = 1 yard

∴ 1 inch = 1/36 (yard)

∴ n inches = n/36

and function representing the length will be

f(n) = n/36

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12 out of 15 people in the US like to eat out. if 400 people selected eating out how many people took the survey?
butalik [34]
12/15 = 400/500

500 people took the survey.
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3 years ago
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