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yawa3891 [41]
4 years ago
15

In triangle ABC, a = 4, b = 7, and c = 10. Find A. 18° 34° 56° 162°

Mathematics
1 answer:
marusya05 [52]4 years ago
5 0

Answer:

  18°

Step-by-step explanation:

The law of cosines tells you ...

  a² = b² + c² -2bc·cos(A)

Solve for cos(A) and fill in the numbers. Note that the value of cos(A) is very close to 1, so the angle will be fairly small. This by itself can steer you to the correct answer.

  cos(A) = (b² +c² -a²)/(2bc) = (49 +100 -16)/(2·7·10) = 133/140

  A = arccos(133/140) ≈ 18.2° ≈ 18°

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3 years ago
A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that
snow_tiger [21]

Answer:

12800 + 100x \le 24000

A maximum of 112 number of 100 - kilograms can be loaded in the container.

Step-by-step explanation:

Given that:

Weight of each crate = 100 kg

The greatest weight that can be loaded in the container = 24000 kg

Weight already loaded in the container = 12800 kg

To find:

The inequality to determine the value x i.e. number of 100 - kilograms that can be loaded in the shipping container?

Solution:

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Let the number of 100 - kilograms that can be loaded in the container = x

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This combined weight nor be greater than the capacity of the container.

OR we can say, it must be lesser than or equal to greatest weight that can be loaded into the container.

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100x \le 24000 - 12800\\\Rightarrow 100x \le 11200\\\Rightarrow x \le 112

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5 0
3 years ago
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Answer:

Answer C: -5,0

Step-by-step explanation:

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A cube has a side length of 4 feet what is the volume of the cube
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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