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Artist 52 [7]
3 years ago
13

The tangent of an angle is 3.4. what is the measure of the angle to the nearest tenth?

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0

To answer this question, you first need to know what SohCahToa is.

S- opposite over hypotenuse

C- adjacent over hypotenuse

T- opposite over adjacent

In this situation, they have made it easier for you as they have given you the quotient of the opposite and adjacent sides (3.4) . Now in order to find an angle, you take the inverse of your expression. So instead of just Tan, you would plug in Tan^-1. So plug it in:

Tan^-1 (3.4)

Answer is 73.6 degrees.

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What is the slope of the line passing through the points (-3, 4) and (2, - 1)?
dimaraw [331]

Answer:

slope = -1 or -x

Step-by-step explanation:

Do y2-y1/x2-x1

Plug in

-1 - 4/ 2 - -3 = -5/5

(Simplify)

-1 so the slope is

-1 or -x

If you want to find the equation use one of the points you have.

4 = -1(-3) + b

4 = 3 + b (subtract 3 on each side)

1 = b

y = -1x + 1 is the equation

6 0
3 years ago
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the average mark of three pupils are 68. what is the ratio of 5:4:3. how many marks did the best student get? HELP ME! ​
noname [10]

Answer:

85, 68, 51

Step-by-step explanation:

Average: The sum of all the numbers divided by the number of numbers

If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x

Then using the definition of an average, we can write this equation.

(5x + 4x + 3x) / 3 = 68

Multiply both sides by 3.

5x + 4x + 3x = 68 * 3

Simplify.

12x = 204

x = 17

Now, substitute x = 17 into the original scores (5x, 4x, and 3x)

5x = 5 * 17 = 85

4x = 4 * 17 = 68

3x = 3 * 17 = 51

Just in case, let's check this answer. Find the average of the 3 test scores.

(85 + 68 + 51) / 3 =

204 / 3 = 68

Thus, the answers are correct

3 0
3 years ago
The zookeeper starts with 100.75 pounds of food and tracks how much the otter eats and any food deliveries. What is the food sup
Airida [17]

Answer:

Part A

Eagle = 6 lbs * 60%

           = 6 * 0.6

           = 3.6 pounds

Bear = 105 lbs * 25%

         = 105 * 0.25

         = 26.25 pounds

3.6 + 26.25 = 29.85 pounds

Part B

Percent Increase = Change/Original * 100

                             = 10/105 * 100

                             = 9.52%

Step-by-step explanation:

hope this helps bye

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Answer:

linear equations

Step-by-step explanation:

linear inequalities

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