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
Alex73 [517]
3 years ago
5

A lighthouse beacon can be seen 17mi in all directions. To the nearest square mile, what is the area over which the beacon can b

e seen?
Mathematics
1 answer:
Alchen [17]3 years ago
7 0
Imagine this as a circle. The circle will have a radius of 17mi and the lighthouse will be in the middle. The area of the circle will be the area over which the beacon can be seen.

A=\pi  r^{2} is the equation for the area of the circle where A is the area.

Now we simply plug in our information

A=\pi  (17)^{2}
A=907.9mi^{2}
You might be interested in
The scale drawing of a rectangular office measures 5.3 cm by 8 cm. A scale factor of 72 is used to create the actual office. Wha
Musya8 [376]
Each length is 72 times longer so the actual dimensions are 381.6cm by 576 cm
5 0
2 years ago
Find the equation of a line that goes through the points (-3,5) and (5,-11)
Rasek [7]

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-11}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-3)}}}\implies \cfrac{-16}{5+3}\implies \cfrac{-16}{8}\implies -2

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-5-2(x+3)\implies y-5=-2x-6\implies y=-2x-1

3 0
2 years ago
Factor completely 2x^2+6x-80
Rom4ik [11]

Answer:

x= -8 , x=5

Step-by-step explanation:

2x^2+6x-80=0

x^2+3x-40=0

look for 2 numbers that their:

sum = 3

product = -40

(x+8)(x-5)=0

thus

x= -8 , x=5 (ANS)

7 0
2 years ago
Helpppppp me plzzzzzzzzzz
lawyer [7]

Answer:

21/4 or 5.25

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Given each of the following areas, what would be the radius of each circle? a. A = 530.66 m2 b. A = 907.46 sq. ft. c. A = 379.94
ra1l [238]
Area for a circle is A= \pi r^2.  We will fill in each area and then solve for the radius.  530.66m^2= \pi r^2 and \frac{530.66m^2}{3.14}=r^2.  ∴169=r^2 and r = 13.  For b, 907.46ft^2= \pi r^2 and \frac{907.46ft^2}{3.14}=r^2.  289=r^2, ∴ r = 17.  For c, 379.94mi^2= \pi r^2, and \frac{379.94mi^2}{3.14}=r^2.  ∴, 121=r^2 and r = 11.  For d, 1962.5cm^2= \pi r^2, and \frac{1962.5cm^2}{3.14}=r^2.  ∴, 625=r^2 so r = 25.  And there you have it!
3 0
3 years ago
Other questions:
  • Find the value of the power.<br><br><br> 4th to 3rd power
    13·1 answer
  • Two fair dice are tossed, and the up face on each die is recorded. Find the probability of observing A: { A 3 appears on each of
    11·1 answer
  • Pls. Help me to solve this math problem.
    9·1 answer
  • A number t times 6.​
    6·1 answer
  • Can someone please help me answer this ​
    13·1 answer
  • Solve for x. Round your answer to two decimal places. Show your work for full credit.
    10·1 answer
  • Determina el número de átomos que tiene una
    11·1 answer
  • Someone help pls the topic is slope 10 points
    15·2 answers
  • Help me with this please
    12·1 answer
  • I will give brand list and hurry pleas
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!