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faust18 [17]
3 years ago
11

Use the unit circle to find the inverse function value in degrees.

Mathematics
1 answer:
jeka57 [31]3 years ago
6 0
Using the unit circle:
tan^(-1) (√3 ) = π/ 3 = 60° ( because tan 60° = √3)
Answer : C ) 60 degrees
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One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm
sergey [27]

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.  

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}

And now, 15 degrees is 11 times smaller than the other  

Then other angle = 11 times of 15 degrees

\text {Other angle }=11 \times 15=165 \text { degrees }

Now, sum of angles = 15 + 165 = 180 degrees.

As we expected their sum is 180 degrees. So the lines are parallel.

Hence, the given lines are parallel

5 0
3 years ago
1. The product of two consecutive integers <br> is 20. Find the values of these integers.
gulaghasi [49]
First find the factors of 20
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2 & 10
4 & 5
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Now find the pairs that have a difference of 1

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4 0
2 years ago
Select the prime number in each exercise <br> 37, 38, 39, 40, 42
olga nikolaevna [1]

Answer:

37 is prime number

Step-by-step explanation:

To prove whether a number is a prime number, first try dividing it by 2, and see if you get a whole number. If you do, it can't be a prime number. If you don't get a whole number, next try dividing it by prime numbers: 3, 5, 7, 11 (9 is divisible by 3) and so on, always dividing by a prime number 

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Step-by-step explanation:

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Can someone help me with this ??
Stolb23 [73]

Answer:

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Step-by-step explanation:

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