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Setler79 [48]
3 years ago
13

Find the measure of the indicated angle to the nearest degree. Thanks.

Mathematics
2 answers:
OleMash [197]3 years ago
8 0

Answer:

16°

Step-by-step explanation:

Let x° be the missing angle:

cos x° = 53/55

cos x° = 0.963

using a calculator:

cos^(-1) (0.963) = 15.63 ≈ 16

eimsori [14]3 years ago
3 0

Answer:

34

Step-by-step explanation:

uts obtuse angle

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A student repeatedly measures the mass of an object using a mechanical balance and gets the following values: 560 g, 562 g, 556
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Answer: 2.76 g

Step-by-step explanation:

The formula to find the standard deviation:-

\sigma=\sqrt{\dfrac{\sum(x_i-\overline{x})^2}{n}}

The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.

Then,  \overline{x}=\dfrac{\sum_{i=1}^{10} x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{560+562+556+558+560+556+559+561+565+563}{10}\\\\\Rightarrow\ \overline{x}=\dfrac{5600}{10}=560

Now, \sum_{i=1}^{10}(x_i-\overline{x})^2=0^2+2^2+(-4)^2+(-2)^2+0^2+(-4)^2+(-1)^2+1^2+5^2+3^2\\\\\Rightarrow\ \sum_{i=1}^{10}(x_i-\overline{x})^2=76

Then, \sigma=\sqrt{\dfrac{76}{10}}=\sqrt{7.6}=2.76

Hence, the  standard deviation of his measurements = 2.76 g

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4 years ago
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Step-by-step explanation:

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