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dimulka [17.4K]
2 years ago
12

Find the exact length of side a

Mathematics
1 answer:
pantera1 [17]2 years ago
5 0

The figure is a scalene triangle, and the exact length of side a is √13

<h3>How to determine the exact length of side a?</h3>

To calculate the length of a, we make use of the following law of cosine

a² = b²  + c² - 2bc * cos(A)

Using the values in the figure, we have:

a² = 3√2²  + 5² - 2 * 3√2 * 5 * cos(45)

Evaluate the expression

a² = 18  + 25 - 30

Evaluate the sum and the difference

a² = 13

Take the square root of both sides

a = √13

Hence, the exact length of side a is √13

Read more about law of cosines at:

brainly.com/question/4372174

#SPJ1

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3 years ago
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WITCHER [35]

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⭐ Please consider brainliest! ⭐

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Use the given qualitative data to construct the relative frequency distribution.
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Answer:

Category                         Relative Frequency

male survivors                           17.3%

males who died                          63.7 %

Female survivors                        15.1 %

Females who died                       3.8%

Step-by-step explanation:

  • The relative frequency is the proportion of the number of times the event occurs to the total number of trials.

Given : Total people on ship = 2274

Number of male ​survivors = 394

⇒ Relative Frequency of male ​survivors =\dfrac{394}{2274}

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⇒ Relative Frequency of male ​who​ died =\dfrac{1449}{2274}

In percent , \dfrac{1449}{2274}\times100\approx63.7\%

Number of female​ survivors =344

⇒ Relative Frequency of female​ survivors =\dfrac{344}{2274}

In percent , \dfrac{344}{2274}\times100\approx15.1\%

Number of females who died = 87

⇒ Relative Frequency of females who died =\dfrac{87}{2274}

In percent , \dfrac{87}{2274}\times100\approx3.8\%

Hence, the complete table would be :

Category                         Relative Frequency

male survivors                           17.3%

males who died                          63.7 %

Female survivors                        15.1 %

Females who died                       3.8%

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3 years ago
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