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
timofeeve [1]
2 years ago
5

A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 65 miles north of the t

ransmitter to a second city 58 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
Mathematics
1 answer:
mart [117]2 years ago
7 0

Answer:

29% of the drive

Step-by-step explanation:

The plot of the problem is:

Transmitter at origin (0,0)  

City to the north at (0,70)

City to the east at (74,0)

The path from city to city is a line with slope:

m = (-70)/74 = -35/37

and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.

The transmitter reach the area enclosed by the next circle:

x^2 + y^2 = 53^2

See the picture attached

The intersection is gotten from the picture or solving:

x^2 + [(-35/37)*x + 70]^2 = 53^2

the points approximately are: (24.1, 47.2) and (45.8, 26.7)

From Pythagorean theorem the total distance of the trip is:

d1 = √(70^2 + 74^2) ≈ 101.9 miles

And the distance when the signal is picked up is:

d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.

You might be interested in
-15+22=m- 8 thanks for the help
givi [52]

The answer is ( m=15 )

6 0
3 years ago
How do you do the slope on a graph
Semmy [17]

I can't be entirely sure what you want to "do" about the slope,
but here is how to FIND it if you have the line on the graph:

-- You pick two points on the graph line.

-- Find the difference in 'y' between the two points.

-- Find the difference in 'x' between the two points.

-- The slope of the line between the two points is

             (the difference in 'y')
divided by
             (the difference in 'x') .

-- If the line on the graph is a straight line, then
the slope is the same everywhere on it.

4 0
3 years ago
HURRY URGENT IM TIMED I NEED HELP THESE ARE ALL THE POINTS I HV PLEASE HELP!!!!!!!!!!1 I WILL MARK BRAINLIEST PLEASE I NEED HELP
irinina [24]

Answer:

D. People said that man could not fly, but in 1903, Orville and Wilbur Wright made the first sustained powered flight in a heavier-than-air machine.

Step-by-step explanation:


8 0
3 years ago
2. If an angle is a right angle, then it is not acute.<br>m2Q#90​
Sliva [168]

Answer:

True.

Step-by-step explanation:

An Angle must be less than 90 degrees to be acute.

7 0
3 years ago
Read 2 more answers
What is the domain of the function on the graph?
Sergeu [11.5K]
I think it’s x>=-3
That means greater than or equal to btw :)
6 0
3 years ago
Read 2 more answers
Other questions:
  • a model plane has a scale of 1 in:6yd if the model plane is 3in tall then how long is the real plane?
    9·1 answer
  • Find an example of a 2 dimensional object in your house that is rectangular or triangular.
    5·1 answer
  • Samuel solved the equation h - 234 = 1,192 and found the solution to be h = 958. Is he correct? If not, why not?
    12·1 answer
  • HELP ASAP!!!!Which function BEST expresses the linear relationship displayed by the scatter plot?
    8·2 answers
  • If 8 km = 5 miles, convert 960 km into miles.​
    5·2 answers
  • PLEASE SOMEONE HELP ME I DONT GET IT!!!
    8·2 answers
  • Petrol is poured into a barrel.
    13·1 answer
  • Find the slope of a line that goes through point A(8,-4) and C(2, -1)
    8·1 answer
  • PLEASE HELP y= 1/2 x - 3
    6·1 answer
  • I need help what’s the answer to this it also needs to be evaluated and work shown u don’t understand -(-2)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!