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3 years ago

How do you round 26681.29399 to the nearest tenth

Mathematics

2 answers:

djverab [1.8K]3 years ago

8 0

Answer:

26681.3

Step-by-step explanation:

Look for the value of tenth then round up or down.

Elden [556K]3 years ago

6 0

Answer:

26681.3

Step-by-step explanation:

The tenth place of a decimal is the first number after the decimal. You want to look at the second number to see if you have to round it up. The first number after the decimal is 2, and the second is 9. Anything 5 and above rounds up, 4 and down rounds down. The second number is 9, so you would round the first number, 2 to a 3.

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fiasKO [112]

Answer: $R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}$

Step-by-step explanation:

Given

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The resultant of the two forces is given by

$\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}$

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$\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb$

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$\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}$

So, the resultant makes an angle of $22.57^{\circ}$ with 9 lb force

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