Find the measure of the acute angle that line y=1/3x+4 makes with a horizontal line. Round your answer to the nearest tenth.

Also, I hope you are having a good day.

Answers

Answer 1

Answer:

The measure of the acute angle is 18.4°

Step-by-step explanation:

The angle between a line of equation y = m x + b and the positive part of the x-axis is Ф = [tex]tan^{-1}[/tex](m), which means tan Ф = m, where m is the slope of the line

Let us use this rule to solve the question

∵ A line of equation y = [tex]\frac{1}{3}[/tex] x + 4 makes with a horizontal line an acute ∠

→ Compare the equation of the line by the form of the equation above

m = [tex]\frac{1}{3}[/tex]

→ Assume that the acute angle is Ф

∴ The acute angle between the line and the horizontal line is Ф

→ By using the rule above

∵ tan Ф = m

tan Ф = [tex]\frac{1}{3}[/tex]

→ Use [tex]tan^{-1}[/tex] to find Ф

Ф =  [tex]tan^{-1}[/tex] ( [tex]\frac{1}{3}[/tex] )

∴ Ф = 18.43494882

→ Round it to the nearest tenth

Ф = 18.4°

The measure of the acute angle is 18.4°


Related Questions

Consider the relation (9,8) (2,6) (1,5) (8,3) (5,7)

What is the domain of the relation?

Enter each value on the same line, separated by commas.

Domin =

Answers

Answer:

Step-by-step explanation:

Given the relation (9,8) (2,6) (1,5) (8,3) (5,7),

Domain= {9,2,1,8,5}

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Leo made a 59, 84, 61, and an 81 on the first four tests. What score
would he have to make on the 5th test in order to make at least an 85
in the course?

Answers

Answer:

71

Step-by-step explanation:

59 add 84 add 61 add 81 is 285

285 divided by (how many test scores) 4 is 71.25

I then rounded the number to 71. So leo would get 71. This is called mean. The mean is basically adding all the numbers then dividing it by how many there were of numbers. Mean tells you the average. So I'm pretty sure it's 71.

tyler made 12 out of 30 free-throw shots on the basketball court. if he attempts 75 free- throws, how many could he expect to make?

Answers

Answer:

the answer: is D I hop is help you

The graph shown corresponds to someone who makes

A. $10 a day
B. $5 a day
C. $10 an hour
D. $5 an hour


Answers

Answer:

5$ an hour

Step-by-step explanation:

look at the x-axis it says hours :)

also the line has a point on 1,5 sooo that means 5 dollars an hour

also the slope is also just 5 lol

Answer:

5 dollar an hour

Step-by-step explanation:

the graph at an hour x when it is 1 hour at y it meets at 5 dollar.

help plssssss i will pin u

Answers

Answer:

The answer is 7.

Explanation:

The answer is 7, because [tex]\frac{7}{14} -\frac{4}{14} =\frac{3}{14}[/tex]. If the fractions have common denominators (14) then just subtract the numerators like a regular subtraction problem, and 7 minus 4 equals 3, so 7 is the answer.

I hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day and good luck on the rest of your quiz.


A group of people sit their driving theory test and 24 people passed.
80% of the people passed the driving theory test.
How many people sat the test altogether?

Answers

Answer:

14

Step-by-step explanation:

does anyone have 8-11? need asap

Answers

Answer: 8. 1. 64 2. 26 3. 36

True/False: All 3 angles of an equilateral triangle measure 60 degrees.
True
False

Answers

Answer:

true

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Done

-3x + 5 = -16
HELPPPPPPP PLZ

Answers

Answer:

x=7

Step-by-step explanation:

-3x+5=-16

     -5    -5

-3x=-21

/-3   /-3

x=7

Answer:

-3x + 5 = -16

-3x = -21

x = 7

As an estimation we are told 5 miles is 8 km.
Convert 36 km to miles.

Answers

Answer:

22

Step-by-step explanation:

Answer:

Step-by-step explanation:

I will first answer your question with the data you have provided, then offer two other ways to solve the problem with alternative data:

You have stated that 5 miles is approximately 8 kilometers. As a ratio this is 5 mi / 8 km

Now create a proportion :

5 mi / 8 km = X mi / 60 km

Miles is to kilometers as miles is to kilometers.

Now cross multiply to solve for X.

8 X = 300

X = 37.5 miles

There are several other ways we can answer this question

Find the product.0
782 x 34 =

Answers

Answer:

26,588

Step-by-step explanation:

What is the rate of change of the function shown in the table?

Answers

Answer:

   

Step-by-step explanation:

Answer: it is -3

Step-by-step explanation:

Simplify 7y + 2y please I need help

Answers

Answer:

9y

Step-by-step explanation:

they are like terms, you can add them.

find angle X on the given figure. m

Answers

Answer: 20degrees

Step-by-step explanation: 138+22=160 180-160 = 20

Solve for x: 3 − (2x − 5) −8

x > −8

x −3

Answers

Answer:

-2x

Step-by-step explanation:

3-(2x-5)-8=

3+-2x+5-8=

(-2x)+(3+5+-8)=

-2x

Lionel is buying a computer that normally sells for 890 the state sales tax rate is 6 percent what is the total cost of the computer including sales tax

Answers

Answer:

100 + 6 = 106%

890/100 X 106 = 943.4

total cost 943.40


Question 3
If you spin the spinner twice, what is the probability that the pointer lands on red the first time and blue the
second time?

Answers

Step-by-step explanation: Okay so ther is 2 blue and 1 red and 5 white. 1/8 chance you would get red and then 2nd try 2/8 chance so... Im pretty sure its 1/32

A company earned a profit of 880,000 last year and 970,000 this
year. What is the percent change in a profit between the two years?​

pls help due today:(
Please explain:(

Answers

Answer:

-9.28%

Step-by-step explanation:

Subtract the prior accounting period's profit from the current accounting period's profit. The result gives you the numerical change in profit.

970000-880000= 90000

90000 in percentage = -9.28%

Answer:

-9.28%

Step-by-step explanation:

Subtract the prior accounting period's profit from the current accounting period's profit. The result gives you the numerical change in profit.

970000-880000= 90000

90000 in percentage = -9.28

..............................​

Answers

Answer:

m=1

Step-by-step explanation:

Hope this helps

...........

Sound travels through air at about 344 meters per seconds when the temp. is 20 degrees c. If Enrique lives 2 kilometres from the fire station and it takes 5 seconds of the fire station siren to reach him, how can you prove indirectly that it's not 20 degrees Celsius when Enrique hears the siren?

Answers

The temperature at the time the siren sounded is not 20 degrees c because, the speed of the siren sound is 400 meters per second, contrary to the speed of sound at 20 degrees c, 344 meters per seconds.

According to the question:

At 20 degrees c, sound travels throughout air at about 344 meters per seconds.

However, Enrique's house is 2 kilometres from the station and it takes 5 seconds for the fire station siren to reach him.

In essence, the speed of the siren sound is;

Speed = 2,000/5 = 400 meters per second.

Ultimately, since the speed of the siren sound is 400 meters per second, contrary to the speed of sound at 20 degrees c, 344 meters per seconds.

We can conclude that the temperature is not 20 degrees c.

Read more on speed of sound:

https://brainly.com/question/16027554

Factorise fully 6x + 4

Answers

Answer:

2(3x+2)

Step-by-step explanation:

Please ASAP
Add: 1234 + 202

Answers

1234 + 202 =  1,436

Hope this helps!!

Answer:

1436 is your answer

Step-by-step explanation:


Heyy!! can u pls help me

Answers

Answer:

top left

Step-by-step explanation:

do you want an explanation?

Answer:

the third one because it says over a hour and all the rest looks ring

a flight from Miami to Boston takes 2 hours 17 minutes. the flight left Miami international Airport at 2:46. at what time should it arrive at Boston Logan international Airport?

Answers

Answer:

5:03

Step-by-step explanation:

it dosnt say anything about time zones so im going to assume they are using the same time

2:46 is time flight leaves

after 2 hours 17 minutes it arrives

add 2:17 minutes to 2:46 to get answer

2:46

2:17

4:63

63 minutes = 1 hour 3 minutes

5:03

Answer:

Given that a flight from Miami to Boston takes 2 hours 17 minutes.

The flight left Miami international Airport at 2:46.

Time should it arrive at Boston Logan international Airport

(2:46+2hrs17minutes)=(4:63)= (5:03)

(63 min = 1hrs 03 min)

5:03 is the right answer.

Solve -5w = -80 for w

W=

Answers

Answer:

w = 16

Step-by-step explanation:

Divide -5 into -80 for a positive number as your answer.  Your answer should be 16 when you done it manually.

Answer: 16

Step-by-step explanation:

Divide -80 by -5 and then you get 16

Hope this helps :)

100/4
help please i need to know before tmr

Answers

are you asking what’s 100 divided by 4?

Answer:25

Step-by-step explanation:

100 divided by 4 is 25                                             please mark brainliest.

Josh bought 6 pounds of sugar for $4. How many pounds of sugar did he get per dollar?

Answers

1.5 pounds of sugar per dollar.

The minute hand of a clock is 6 inches long. How far does the tip of the minute hand move in 15 minutes? How far does it move in 25 minutes?

Answers

Answer:

Step-by-step explanation:

angle subtended at center in 15 minutes=360÷60×15=90°=π/4

distance traveled by minute hand=2πr/4=πr/2=6π/2=3π inches≈9.42 inches

distance travelled by minute hand in 25 minutes=2πr×25/60=50πr/60=5/6πr

≈5/6 π×6=5π inches ≈15.71 inches

Solve the equation to find the value of x.
2 (x + 3) = 18

Enter your answer in the box.

x = ______

Answers

Answer:x=6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Which of the following expressions is not equivalent to 6x-18y+30

2(3x-9y+15)
3(2x-6y+30)
3(2x-6y+10)

Answers

The answer is 3(2x-6y+30) the expression is not equivalent to 6x-18y+30
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