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den301095 [7]
3 years ago
10

Question 72 true or false

Mathematics
1 answer:
nalin [4]3 years ago
6 0

Answer:

True

m∠T = 40.4°

Step-by-step explanation:

We know all the sides of the triangle but we do not know any of its angles.

To find out if the angle T = 40.4 ° we use the cosine theorem.

According to the cosine theorem:

c^2=a^2 +b^2-2abcos(\alpha)

Where \alpha is the angle between a and b.

In this case:

\alpha = T\\\\a= 11\\\\b=13\\\\c= 8.5

Then we clear α from the formula and verify that it is equal to 40.4 °

8.5^2 =11^2 + 13^2 -2(11)(13)cos(\alpha)\\\\8.5^2 -11^2 - 13^2= -2(11)(13)cos(\alpha)\\\\-8.5^2 +11^2 + 13^2= 2(11)(13)cos(\alpha)\\\\\frac{-8.5^2 +11^2 + 13^2}{2(11)(13)}=cos(\alpha)\\\\\alpha=arcos(\frac{-8.5^2 +11^2 + 13^2}{2(11)(13)})\\\\\alpha = 40.4\° =T

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Answer:

The probability that a resident reports high satisfaction while the resident is a renter is Option(a) 13.7\%

Step-by-step explanation:

Given:

                               Levels of satisfaction

                      High      Medium     Low       Total

Owners          26             34               18           78

Renters           15            12                5            22

Total               41             46               23          110

The Resident is a renter.

Step 1:

To find the probability that a resident reports high satisfaction.

P(Renter- higher satisfaction)= Higher Satisfaction by render ÷ Total level of satisfaction

=\frac{15}{110}

=0.137

13.7\% is the probability that a resident reports high satisfaction.

Therefore, Option (a) is a correct answer.

Learn more about Probability, refer:

  • brainly.com/question/13604758
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7 0
3 years ago
If 6x+7°and 8x-17°are vertical angles, whats x
kolezko [41]
Since the two measures are vertical angles, you want to set them equal to each other :

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The answer is 12.
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Step-by-step explanation:

-(-5x + 3) = 17

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14.99 - 2.24 = 12.75. ◃:✮.❃⭒

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