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
zvonat [6]
4 years ago
13

A rotating beacon is located 1 kilometer off a straight shoreline. If the beacon rotates at a rate of 3 revolutions per minute,

how fast (in kilometers per hour) does the beam of light appear to be moving to a viewer who is 1/2 kilometer down the shoreline?
Mathematics
1 answer:
Valentin [98]4 years ago
5 0
Find the radius of the circle by finding the distance between the viewer and the beacon. 
then find the circumference by using 2πr2

this will be the distance the light covers over 1 revolution.
then using dimensional analysis:
3 rev/min (7.037 km/rev) (60 min/1 hr) = 1266.7 km/hr
You might be interested in
Find the domain and range of each function
fenix001 [56]

Answer:

Loading,please wait...

Step-by-step explanation:

3 0
3 years ago
The ratio of 42cm to 3m
Likurg_2 [28]

Answer:

7:50

Step-by-step explanation:

We need both measures in the same units. Let's convert meters to cm.

1 m = 100 cm, so 3 m = 300 cm

Now we write the ratio and reduce it.

42 cm to 3 m =

= 42 cm to 300 cm

= 42:300

= 14:100

= 7:50

5 0
4 years ago
What is the value of r in the equation?<br><br> Negative 1.5 (4 minus r) = negative 12
trapecia [35]

Answer: -4

Step-by-step explanation:

-1.5(4-r)=-12

Divide both sides by -1.5

4-r=8

-r=4

r=-4

Therefore, the value of r is -4

7 0
3 years ago
Read 2 more answers
Write the equation of a circle givin by (x-3)^2+(y+7)^2=4
Ostrovityanka [42]

Answer:8

Step-by-step explanation:(

x

+

4

)

2

+

(

y

−

7

)

2

=

64

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

x

−

h

)

2

+

(

y

−

k

)

2

=

r

2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r

=

8

h

=

−

4

k

=

7

The center of the circle is found at

(

h

,

k

)

.

Center:

(

−

4

,

7

)

These values represent the important values for graphing and analyzing a circle.

Center:  

(

−

4

,

7

)

Radius:

8

6 0
3 years ago
At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn. The temperature increased and the snow began t
zalisa [80]

Answer:

s = 2t

Step-by-step explanation:

At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling.

2 inches = 1 hour

10 inches = x hour

2x = 10

x = 10/2

x = 5

Creating an equation

S ∝ t

S = kt

k = s/t

k = 2/1

k = 2

The equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling is

S = 2t

8 0
3 years ago
Other questions:
  • Solve the inequality |x|&lt;5
    5·1 answer
  • Please I really need help with this question!!
    8·1 answer
  • A​ 150-pound person burns 5.1 calories per minute when walking at a speed of 4 miles per hour. While​ walking, this person eats
    11·1 answer
  • Which variable in an experiment determines whether to use parametric or nonparametric procedures?
    8·1 answer
  • Tomas bought a book that cost $18. it was on sale for 84% of its original price. how much did tomas pay
    5·2 answers
  • Which number line plots the integers -2, 3 and 4
    12·2 answers
  • Miss López edits 4 maps each hour at the Travel Atlas Company. She works 6 hours each day for 5 days a week. How many maps can s
    14·1 answer
  • Hey (; can somebody please help me with this answer ...
    10·1 answer
  • PLZZ HELPPPPPP!!!!!!!!
    15·1 answer
  • Kira has 3 shelves of books. Each shelf has 4 books. She also has 5 books that are not on shelves. How many books does she have?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!