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ser-zykov [4K]
3 years ago
9

A triangle has sides of length 2, 2, and 3. Which of the following is the measure of the obtuse angle of the triangle?

Mathematics
1 answer:
kramer3 years ago
7 0

Answer:

97.18^{\circ}

Step-by-step explanation:

An obtuse angle in the triangle is opposite to the greatest side. The greatest side in the triangle with sides lengths 2, 2 and 3 is side with length 3. By the cosine rule,

3^2=2^2+2^2-2\cdot 2\cdot 2\cdot \cos \alpha,\\ \\9=4+4-8\cos \alpha,\\ \\-8\cos \alpha=9-4-4=1,\\ \\\cos \alpha=-\dfrac{1}{8},\\ \\\alpha\approx 97.18^{\circ}.

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In a list of numbers, the pattern increases by 0.001 as you move to the right. If the third number in the list is 0.064, what is
avanturin [10]

The <em>correct answer</em> is:


The first number is 0.062.


Explanation:


Let x represent the first number in the list.


We add 0.001 to each number to find the next number; this gives us:

x + 0.001 + 0.001 = 0.064


Combining like terms, we have:

x + 0.002 = 0.064


Subtract 0.002 from each side:

x + 0.002 - 0.002 = 0.064 - 0.002

x = 0.062

3 0
2 years ago
Read 2 more answers
Which of the following represents a weak positive correlation?a. -0.9b. 0c. +0.2d. +0.9
svetoff [14.1K]

Answer:

Option C) +0.2

Step-by-step explanation:

We are given the following information in the question:

Correlation:

  • Correlation is a technique that help us to find or define a relationship between two variables.
  • It is a measure of linear relationship between two quantities.
  • A positive correlation means that an increase in one quantity leads to an increase in another quantity
  • A negative correlation means with increase in one quantity the other quantity decreases.
  • +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.
  • Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.
  • Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.

Thus, a weak positive correlation is given by correlation coefficient of Option C) +0.2

3 0
3 years ago
You are purchasing 2 shirts at $15.00 each and 1 pair of jeans at $30.00 each. You have a coupon for 10% off. How much is the to
andrey2020 [161]
Answer: $54

The shirts in total cost $30 and with the additional $30 cost of the jeans the total price without a discount is $60. You then take the discount and turn it into a decimal (0.10) and multiply it by the $60 total. This gives you 6, which is the amount of money you take off, which means the total is $54
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What is the common difference between consecutive terms in the following
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For questions 10-11 if l || m, find the values of x and y.
klemol [59]

Answer:

10) 9x - 2° = 5x + 54° (corresponding angles are equal)

9x - 5x = 54 + 2

4x = 56

x = 56/4

x = 14°

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10y + 6° = 9(14)° - 2°

10y + 6° = 126° - 2°

10y + 6° = 124°

10y = 124° - 6°

10y = 118

y = 118/10

Sorry, i don't know how to do the 11th question

but hope this helps you!

8 0
2 years ago
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