1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inga [223]
3 years ago
11

The headlights of an automobile are set such that the beam drops 3 in for each 32 ft in front of the car. What is the angle (giv

e positive value) between the beam and the road in degrees ?
Mathematics
1 answer:
Anastaziya [24]3 years ago
4 0

Answer:

0.4476 degrees.

Step-by-step explanation:

Let θ be the angle between the beam and the road. The given values form a right triangle with the distance that the beam drops ( h=3 in) being the side opposite to θ and the distance in front of the car (x=32 ft or x=384 in) being the side adjacent to θ.

Therefore, θ is given by:

tan^{-1}(\theta) = \frac{h}{x}\\tan^{-1}(\theta) = \frac{3}{384}\\ tan^{-1}(\theta) = \frac{1}{128}\\\theta=0.4476^o

The angle between the beam and the road is 0.4476 degrees.

You might be interested in
The following system has a solution: x=10, y=-3, z=14
wolverine [178]
<h2>Answer:</h2><h3>False</h3>

<h2>Step-by-step explanation:</h2>

In this problem, we have the following System of Three Equations in Three Variables, so our goal is to determine whether x=10, \ y=-3, \ z=14 is the solution to this system, that is, the ordered triple P(x,y,z) where three planes intersect.

The easier way to find the answer is to plug in the x, y and z values in the equations and figure out whether the equations satisfy the solutions. Then:

First \ Equation: \\ \\ 3(10)+7(-3)-14=-5 \\ \\ It \ satisfies \ the \ first \ equation \\ \\ \\ Second \ Equation: \\ \\ 9(10)-(-3)-4(14)=37 \neq 17 \\ \\ It \ doesn't \ satisfy \ the \ second \ equation

STOP HERE! Since the x, y an z values doesn't satisfy the second equation, the x=10, \ y=-3, \ z=14 is not the solution to the system of equations.

5 0
3 years ago
The number of calories in Swiss cheese varies directly with the weight of the cheese. There are about 200 calories in 50 grams o
OlgaM077 [116]
The answer I got was 280 calories. I got that by dividing 200 by 50. Which I then got 4. Then, I multiplied 4 by 70 yo get 280 calories.
5 0
3 years ago
Read 2 more answers
Do the data in the table represent a direct variation or inverse variation? Write an equation to model the data in the table?
notsponge [240]

Based on the given data; the table represent an inverse variation and the equation that model the data in the table is y = 8/x

<h3>Variation</h3>

  • Direct variation

y = k × x

4 = k × 2

4 = 2k

k = 4/2

k = 2

when y = 2 and x = 4

y = k × x

= 2 × 4

y = 8

  • Indirect variation

y = k/x

4 = k / 2

8 = k

when y = 2 and x = 4

y = k/x

2 = k/4

2 × 4 = k

k = 8

So,

y = k/x

y = 8/x

Learn more about variation:

brainly.com/question/6499629

#SPJ1

5 0
2 years ago
PLEASE HELP I WILL GIVE BRAINILEST
stira [4]

for A you should take each plotted point and change the sign of the x values. for example (-1,3) should become (1,3) and (-4,4) should become (4,4)

for B take each point and flip the variables and x's sign. (-1,3) should become (3,1)

for C take every x value and subtract 2. (-1,3) should become (-3,3)

for D take each point and flip the variables and y's sign. (-1,3) should become (-3,-1)

5 0
3 years ago
How do you solve the inequality 6y+3&gt; -18x
Alex17521 [72]
6y + 3 \ \textgreater \  - 18 x

Subtract 3 from both sides:

6 y + 3 - 3 \ \textgreater \  - 18 x - 3

6y \ \textgreater \  - 18 x - 3

Dividade both sides by 6 :

\frac{6y}{6} \ \textgreater \   \frac{-18x-3}{6}

y \ \textgreater \  \frac{-18x-3}{6}

hope this helps!


6 0
3 years ago
Other questions:
  • -3x+5&gt;17 what is the value of x in the set of inequality
    10·1 answer
  • What is 8/6 × 5/8?<br>​
    5·2 answers
  • What is x^4-4x^3-32 in factored form
    7·1 answer
  • Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
    15·1 answer
  • Complete this statement 27a^2x^2+45a^2x+36a^2=9a^2()
    8·1 answer
  • Zane eats 1/8 of a pizza. Later he eats 1/2 of the pizza. Did he eat more the first or second one?
    13·2 answers
  • Y = 2x + 5<br> x + y = 8<br> Where do the lines intersect?
    8·1 answer
  • How many cardboard did Shauna use to marry the box
    9·1 answer
  • im failing lol help The areas of the squares adjacent to two sides of a right triangle are 29.25 units^2 and 13 units ^2
    14·2 answers
  • What is the total number of different 13-letter arrangements that can be formed using the letters in the word ENLIGHTENMENT?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!