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
madam [21]
2 years ago
7

HELP

Mathematics
1 answer:
Ket [755]2 years ago
5 0

Given the radius of 50 miles and the line joining the cities at (0, 56) and (58, 0), the transmitter signal can be picked during 59.24 miles of the drive.

<h3>How can the duration of signal reception be found?</h3>

Radius of broadcast of the transmitter = 50 miles

Location of starting point = 56 miles north of the transmitter

Location of destination city = 58 miles east of the transmitter

Therefore we have;

Slope of the line joining the two cities

= 56 ÷ (-58) = -0.966

Which gives the equation of the line as follows;

y = -0.966•x + 56

The equation of the circle is;

{x}^{2}  +  {y}^{2}  =  {50}^{2}

{x}^{2}  +  { ( - 0.966x + 56)}^{2}  =  {50}^{2}

1.933156•x^2 - 108.192•x + 636 = 0

Which gives;

  • x = 6.67 or x = 49.29

Therefore;

When x = 6.67, we have;

  • y = -0.966 × 6.67 + 56 = 49.56

When x = 49.29, we have;

  • y = -0.966 × 49.29 + 56 = 8.4

The length of the drive, during which the driver can pick the signal, <em>l</em>, is therefore;

l = √((49.56-8.4)^2 + (49.29-6.67)^2) = <u>59.24 miles</u>

  • The length of the drive during which the signal is received is 59.24 miles

Learn more about the equation of a circle here:

brainly.com/question/502872

#SPJ1

You might be interested in
What is the mixed number for 51/9
Setler79 [48]

5 2/3 is the answer to your question
6 0
3 years ago
Read 2 more answers
Please help me with this it’s hard
alina1380 [7]
It is mostly likely D or B but I think it’s D
7 0
3 years ago
Read 2 more answers
Ava and Becca are collecting canned goods.Ava collected 3/4 of a box of canned goods.If Becca collected 5times as much as Ava, h
liq [111]
Becca collected 3 and 3/4 worth of boxes
8 0
3 years ago
What is the slope of a line parallel to the line 5x + 3y = 15?
Elis [28]
The answer is B because first u subtract 3y from both sides and then subtract 15 from both and then divide both sides by -5 and u’ll have y=-5/3x+5 so -5/3 is the slope
5 0
3 years ago
4(x+9)=8x-7<br> Solve for x
valentina_108 [34]

Answer:

x = 10.75

Step-by-step explanation:

4(x+9)=8x-7

Step 1: Distribute the 4 to the x and 9

4 * x = 4x

4 * 9 = 36

We now have 4x + 36 = 8x - 7

Step 2: add 7 to both sides

36 + 7 = 43

-7 + 7 cancels out

We now have 4x + 43 = 8x

Step 3 subtract 4x from both sides

4x - 4x cancels out

8x - 4x = 4x

We now have 4x = 43

step 4 divide both sides by 4

4x / 4 ( the 4s cancel out and we're left with x )

43/4 = 10.75

We're left with x = 10.75

3 0
3 years ago
Other questions:
  • What number makes the equation true? 82 − <br> − 33 = 35
    10·1 answer
  • Whats the surface area of a cone with a height of "50" and a diameter of "40"
    14·2 answers
  • plz help Pru, Piper, and Phoebe share spices in the ratio 5:3:4. If Pru has 24 more spices than Piper, how many spices does Phoe
    13·2 answers
  • Tamie uses 3/4 of a cup of water with 1/8 of a pound of flour to make a paste for a sculpture she is creating. How many cups of
    14·1 answer
  • A rectangle’s width is 8 inches long. If the length is 3 times the width, what is the perimeter of the rectangle?
    9·1 answer
  • What is the maximum number of boxes that can be purchased with $65.00?
    11·2 answers
  • Which equation has the same solution as x ^ 2 - 10x + 18 = 0
    12·1 answer
  • Math homework !! <br> pls help , it’s due in 10 min :(( <br> question 1: a , b , c, d
    14·2 answers
  • Write the word sentence as an inequality.<br> A number x is greater than 0.
    5·1 answer
  • Select the correct answer.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!