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 transmitter 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?

Answers

Answer 1

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.


Related Questions

Solve the folowing problem. Then state if there is one solution, no solutions, or infinite solutions.

n+3+4n=2n+15

Answers

N=4 and there is only one solution

Colton has 888 comedy movies, 666 action movies, 555 fantasy movies, and 111 drama movie on his list of favorite movies. For every 555 movies on the list, there are 222 \_\_\_\_____\_, \_, \_, \_ movies.

Answers

Answer: Comedy

Step-by-step explanation:

Find out the percentages of each of the movies. First find the total quantity.

= 888 + 666 + 555 + 111

= 2,220 movies

Comedy = 888/2,220 * 100% = 40%

Action = 666 / 2,220 * 100% = 30%

Fantasy = 555/2,220 * 100% = 25%

Drama = 111/ 2,220 * 100% = 5%

222 movies out of 555 is:

= 222 / 555 * 100%

= 40%

222 movies out of 555 movies will therefore be comedy.

Answer:

222/555 are comedy

alguien me ayuda??






lo necesito hoy :ccccc ☕​

Answers

Answer:

no se entiende la imagen

Answer:

La A

Step-by-step explanation:

Mentira no se ve nada solo escoge la D de Dios

Write an equivalent ratio described in the situation below. The ratio of boys to girls is 5/2​

Answers

10:4 whatever you do to one of the ratios do the same to the other ratio. For example 5:2 boys to girls if you multiply the boys by 2 it will equal 10; and do the same to the girls which equal 4. Therefore an equivalent ratio is 10:4

Solve the equation for x:
|5x - 61 = -10

Answers

Answer:

x=51/5

Step-by-step explanation:

Add 61 on both sides

You'll have 5x=51

So now 51/5 is your answer.

Answer:

16/5

Step-by-step explanation:

|5x - 6| = -10

5x -6 = 10

5x = 10+6 = 16

x = 16/5

Company A charges a flat fee of $20 and $24.95 per hour to install cable. Write an equation in slope-intercept form to represent the company's charges.

Answers

Answer:

y = 24.95x + 20

Solve the linear system of equations

3x+2y=7
-3x+4y=5

X=
Y=​

Answers

Answer :
X= 1 , Y = 2


Step-by-step explanation :

find the value of f ​

Answers

Step-by-step explanation:

the steps are done in the picture .

hope it helps

Miguel and three friends went to the movies. each boy spent 9.50 on a ticket and had the same amount of money leftover. They originally had total of $48. How much money did each person have left after buying their ticket?

Answers

Answer:

$2.5

Step-by-step explanation:

4 people went to the movies and spent $ 38 ( 9.50* 4= 38) since  48-38 = 10

they totally have 10 dollars left. 10/4 = 2.5  They each $2.5 left

A line that includes the point (9,-5) has a slope of 0. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

The answer is

[tex]y = - 5[/tex]

Step-by-step explanation:

[tex]m = 0 \\ y = mx + c \\ y = c \\ y = - 5[/tex]

Please help with this look below! : )

Answers

Answer:

$0.40

Step-by-step explanation:

5.60/14 = .40

x-7=13
one step equation​

Answers

Answer:

x=20

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

Add 7 to both sides, x = 13+7 = 20

Please help me<3 <3 <3 <3 <3

Answers

Answer: (B) SinA = 4/5

Step-by-step explanation: Sine= O/H or opposite of hypotenuse so in regards to the triangle opposite is 28 and hypotenuse 35 or 28/35 which also equals 4/5

I need help with this
If x + 3 /3 = y + 2/ 2 ,then x/ 3 =

Answers

Answer:

First solve for x

then substitute

Step-by-step explanation:

[tex]\frac{x+3}{3}= \frac{y+2}{2}[/tex]

[tex]6(\frac{x+3}{3}=\frac{y+2}{2})[/tex]

2x + 6 = 3y + 6

2x = 3y

[tex]x = \frac{3y}{2}[/tex]

If [tex]\frac{x+3}{3}= \frac{y+2}{2}[/tex] then [tex]\frac{x}{3}[/tex] =

[tex]x = \frac{3y}{2} /3 = \frac{y}3}[/tex]

The church’s goal for the fundraiser was $18,000. They exceeded their goal by 8%. How much money did they raise?

Answers

Answer:

19440

Step-by-step explanation:

18000 x 0.08 = 1440

1440 + 18000 = 19440

Given f(x) = x4 – 3x3 + x – 3.

Answers

Step-by-step explanation:

hope this will help you.....

Given  [tex]f(x) = x^4 - 3x^3 + x -3[/tex]. The Limit of f (x) as x approaches negative 2 is 35.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

It is Given that

[tex]f(x) = x^4 - 3x^3 + x -3[/tex].

The Limit of f (x) as x approaches negative 2

[tex]f(x) = x^4 - 3x^3 + x -3\\ f(-2) = (-2)^4-3(-2)^3+(-2)-3\\= 16+24-2-3\\= 35[/tex].

Learn more about linear equations;

https://brainly.com/question/27056029

#SPJ2

What js the value of (x)?​

Answers

the value of x is x=8

write an equation in slope-intercept form for the line that passes through (-3,1) and is parallel to the line described by y=4x+3

Answers

Answer:

y = 4x + 13

Step-by-step explanation:

m = 4 at point (-3,1)

y = 4x + b

1 = 4(-3) + b

1 = - 12 + b

b= 13

y = 4x + 13

Jorge gives an equal number of marbles to 6 friends. Which could be the total number of marbles he gave to his friends?

Answers

Answer:

D. 60

Step-by-step explanation:

To find an equal number of numbers the sum has to be equal to 6*x.

Answer:

If he gave it all to his friends then its D. If it is counting him too then C.

Step-by-step explanation:

what is this 59 divided 535

Answers

Answer:

9.07 [Rounded]

Step-by-step explanation:

535 divided by 59 is 9.07, which I rounded.

The value of the division 535 ÷ 59 is 9 with a remainder of 4 and the decimal form can be expressed as 9.067.

To find the value of division 535 ÷ 59, we can perform a long division.

To perform the calculation, we can use long division:

59 ) 535 ( 9

     - 531

     ______

         4

Divide the first digit of the dividend (5) by the divisor (59). Since 5 is less than 59, we bring down the next digit, making it 53.

Divide 53 by 59. The result is 0, as 53 is less than 59.

Bring down the next digit, making it 535.

Divide 535 by 59. The result is 9, as 59 can go into 535 nine times.

Multiply 9 by 59, which equals 531.

Subtract 531 from 535, which gives us a remainder of 4.

Therefore, the value of the division 535 ÷ 59 is 9 with a remainder of 4.

In decimal form, the division can be expressed as 9.067, indicating that 59 goes into 535 nine times with a remainder of 4.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ6

Find the value of the following division:

535÷59

1.
Brady rented a car for two days at $25 a day plus
$0.15 per mile. If his total bill came to $102.50, how
many miles did Brady drive?

Answers

Answer:

He drove 350 miles.

Step-by-step explanation:

I need points.

Brady drove 16.67 miles extra.

What is division?

One type of operation in mathematics is division. We divide the expressions or numbers into the same number of components during this operation.

Given, Brady rented a car for two days at $25 a day plus $0.15 per mile.

His total bill is $102.50.

We divide the 102.50 by 25.

That means, 102.50 / 25

= 4 is quotient and 2.50 is remainder.

Now we divide 2.50 by 0.15

That means, 2.50 / 0.15

= 16.67 miles

Therefore, 16.67 miles, Brady drove.

For more information on the division, see ;

brainly.com/question/13263114.

#SPJ2

Margie wants to collect 3,600 cans of food to donate to a community food bank. She plans to collect an equal number of cans for 4 months.
How many cans c should she collect each month?
What should I put in each box?

Answers

Answer:

90

Step-by-step explanation:

Gabrielle's age is three times Mikhail's age. The sum of their ages is 68 . What is Mikhail's age?

Answers

Answer:

17

Step-by-step explanation:

3x + x=68

68: 4= 17

Mikhail is 17

anyoneeeeeee knows we thissds

Answers

This is a function because it is linear. If you draw a line at any point on the graph, the line will only intersect it once.

Solve tree he system of equations by the substitution method.
12x + 3y =8
-4x = y + 8

Answers

Answer:

8x + 2y

Step-by-step explanation:

12x + 3y = 8 you need to transfer the no. 8 to left since it's positive, it will be negative once you tranfer that and the result is this 8x + 3y -8 =0. Then do it again on the second given, -4x = y + 8.

Tranfer the y variable to left, y is positive then it will be a negative. No need to transfer the no. 8. Then the result would be -4x - y + 8=0

To this solve this, wrote it like this:

12x + 3y –8

-4x - y + 8

——————

8x + 2y

A
3
The ratings of a popular TV show are increasing. The number of
viewers can be modeled by the function, N (2) = 1.73(1.15)",
where x is the number of weeks after the first week of June and N(x) is
the number of viewers in terms of millions. Rounded to the nearest
hundredth, how many viewers are there when x = 5?

Answers

Answer:

I need. help to

Step-by-step explanation:

i dont now i need help to

the area of triangle is 48 cm sq,its base is 12 cm. find its altitude​

Answers

Answer:

its altitude is 8 cm

Step-by-step explanation:

1/2× base ×altitude =48

1/2×12× al =48

6×al =48

al = 8

16. If x and y are positive integers such that the greatest
common factor of xy2 and xy” is 50, then which of
the following could equal y ?
F. 50
G. 25
H. 10
J. 5
K. 2

Answers

I think it will be 50 so that means is f

*WILL MARK BRAINLIEST*
simplify the irrational number square root of 45, then estimate it to two decimal places.

Answers

Answer:

3[tex]\sqrt{5}[/tex] which is approx 6.71

Step-by-step explanation:

[tex]\sqrt{45}[/tex] = [tex]\sqrt{9}[/tex]·[tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

ABCD is a parallelogram. Find the measure of ABC.
12°
B
130°
A
389
12°
с
38°
50°

Answers

Answer:

50°

Step-by-step explanation:

As we know that the opposite angles of parallelogram are equal so

< ADC = < ABC

< ABC = 38° +12°

< ABC = 50°

Hope it will help :)

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