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gizmo_the_mogwai [7]
3 years ago
9

Find the value of sin 50°. Round to the nearest ten-thousandth.

Mathematics
2 answers:
Brums [2.3K]3 years ago
8 0
The answer is 0.7660
Gekata [30.6K]3 years ago
3 0

Answer:

\text{sin}(50^{\circ})\approx 0.7660

Step-by-step explanation:

We are asked to find the value of \text{sin}(50^{\circ}) and round our answer to the nearest ten-thousandth.

Using the calculator we get the value of \text{sin}(50^{\circ})=0.766044443119.

To round our answer to the nearest ten-thousandth means, we need to round our answer to 4 places after decimal.

We can see that the ten-thousandth value is 0 and its next digit is 4. Since the first digit dropped is less than 5, therefore, our last digit kept will remain unchanged that is 0.

Upon rounding our answer to the nearest ten-thousandth we will get,

\text{sin}(50^{\circ})\approx 0.7660

Therefore, the value of \text{sin}(50^{\circ}) is approximately 0.7660.

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B. \frac{\sqrt{3}}{11}, \frac{\pi}{24}, \frac{3}{25},  \frac{9}{100}

Step-by-step explanation:

The question is not properly presented. See attachment for proper presentation of question

From the attachment, we have that:

W = \frac{3}{25}

X = \frac{\sqrt{3}}{11}

Y = \frac{9}{100}

Z = \frac{\pi}{24}

Required

Order from greatest to least

First, we need to simplify each of the given expression (in decimals)

W = \frac{3}{25}

W = 0.12

X = \frac{\sqrt{3}}{11}

Take square root of 3

X = \frac{1.73205080757}{11}

X = 0.15745916432

X = 0.16 --- approximated

Y = \frac{9}{100}

Y = 0.09

Z = \frac{\pi}{24}

Take π as 3.14

Z = \frac{3.14}{24}

Z = 0.13083333333

Z = 0.13  --- approximated

List out the results, we have:

W = 0.12    X = 0.16    Y = 0.09    Z = 0.13

Order from greatest to least, we have:

X = 0.16     Z = 0.13      W = 0.12       Y = 0.09

Hence, the order of arrangement is:

X = \frac{\sqrt{3}}{11}     Z = \frac{\pi}{24}      W = \frac{3}{25}      Y = \frac{9}{100}

i.e.

\frac{\sqrt{3}}{11}, \frac{\pi}{24}, \frac{3}{25},  \frac{9}{100}

6 0
3 years ago
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