Which is the best approximation for the measure of angle EGF? 32.8° 40.2° 49.8° 57.2°

Answers

Answer 1
Answer: Angle EGF = x

Sin x = 12/18.6

Sinx ≈ 0.6452

x ≈ Sin⁻¹(0.6452).      Use a calculator.

x ≈ 40.18°

x ≈ 40.2°

Second option.
Answer 2
Answer:

The measure of the angle x is 40.2 degrees after applying the sin ratio option second 40.2° is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a right-angle triangle shown in the picture.

From the sin ratio:

sinx = side opposite to angle/hypotenuse

sinx = 12/18.6 = 0.645

x = sin⁻¹(0.645)

x = 40.17≈ = 40.2 degrees

Thus, the measure of the angle x is 40.2 degrees after applying the sin ratio option second 40.2° is correct.

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Four hunndred seven trillion, nintey million seven hundred forty-two thousand seventy-two

Answers

Answer:470,000,90,742,72

Step-by-step explanation:

Given a = {1, 3, 5}, b = {2, 4, 6} and c={1, 2, 3, 4, 5, 6}, then a ∪ (b ∩
c. =

Answers

Match the following. Given A = {1, 2, 3, 4, 5} B = {2, 4, 6} C = {1, 3, 5}?1. A ∪ B __ {1, 2, 3, 4, 5} 
2. A ∪ C __ null, or empty set 
3. A ∩ B __ {1, 3, 5} 
4. A ∩ C __ {1, 2, 3, 4, 5, 6} 
5. B ∩ C __ {2, 4}

Final answer:

The result of a ∪ (b ∩ c) equals the union of set a with set b, since set b is completely contained within set c. The final answer is {1, 2, 3, 4, 5, 6}.

Explanation:

The question involves concepts of set theory and specifically deals with the union and intersection of sets. The sets given are a = {1, 3, 5}, b = {2, 4, 6}, and c = {1, 2, 3, 4, 5, 6}. We're asked to find the result of a ∪ (b ∩ c), which means we want to determine the union of set a with the intersection of sets b and c. First, we need to find b ∩ c, which are the elements common to both b and c. Since c contains all the elements of b, the intersection b ∩ c is simply b, which is {2, 4, 6}. Now, we take the union of set a with this result, so a ∪ (b ∩ c) = a ∪ b = {1, 2, 3, 4, 5, 6}. Hence, a ∪ (b ∩ c) contains all elements from both set a and set b, as there were no common elements in set a and set b originally.

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How do I solve this inequality?

Answers

Answer:

x=1

Step-by-step explanation:

youll have to subtract 3 from 4

Hope that helped :)))

Use the stem-and-leaf plot below to find the mean, median, and mode of the data set. Round to the nearest wholenumber
Stem Leaf
5 2, 2, 2.
8. 1,5,9
9. 3,4,6
1. 2,7

Answers

Answer:

The mean is 65.72 , median  is 81 and mode is 52  

Step-by-step explanation:

Stem         Leaf

5                2, 2, 2.

8.                1,5,9

9.                3,4,6

1.                 2,7

Number : 52,52,52,81,85,89,93,94,96,12,17

Arrange in ascending order :

12,17,52,52,52,81,85,89,93,94,96

Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\nMean =(12+17+52+52+52+81+85+89+93+94+96)/(11)

Mean =65.72

Median = (n+1)/(2) \text{th term}=(11+1)/(2)=6 \text{th term} = 81

Mode = most occurring number = 52

Hence The mean is 65.72 , median  is 81 and mode is 52  

Last year , a large trucking company delivered 5.5*10^5 tons goods with a average value of $23,000 per ton . What was the total value of the goods delivered ? Write your answer in scientific notation . Please , I have to do this before bed time . Can you help me ?
Thank you :)

Answers

5.5*10^5 = 550,000 tons

$23,000 per ton 

23,000 x 550,000 = $12,650,000,000 (total value)

Now to convert to scientific notation.

1.265 x 10^10

Hope that was useful :)

Will mark brainliest

Answers

2.21 is the answer :-/