answer.
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
Lapatulllka
21 day ago
6

Luis is visiting a public garden that has a large, circular path. When he has walked one-quarter of the distance around the path

, the magnitude of his displacement is 120 m.
What is the diameter Of the path?

Mathematics
1 answer:
Zina [9.1K]21 day ago
3 0

Answer:

The diameter of the circular path is 120√2 m.      

Step-by-step explanation:

The information provided indicates:

When Luis walked one-fourth of the distance around the circular path, the magnitude of his displacement measured 120 m.

Displacement = 120 m

The two radius lengths along with the displacement form a right-angle triangle.

Using the Pythagorean theorem:

r^2 + r^2 = (120)^2

where r represents the radius of the circular path.

2r^2 = (120)^2\\r^2 = 7200\\r = 60\sqrt{2}~m

Thus, the diameter of the circular path can be expressed as:

d = 2r = 120\sqrt{2}~m

Therefore, the diameter of the path is 120√2 m.

The accompanying image depicts the circular path.

You might be interested in
Chris has a cell phone plan with a flat fee of $26.00 per month, plus a cost of $0.12 per minute of usage. Chris can only afford
tester [8842]

For Chris, the calculation for his monthly telephone expense is as follows:

C (x) = 26 + 0.12x

Where "x" denotes each minute used.

Given that Chris can afford a bill of $86, we have:

26 + 0.12x \leq86\\0.12x \leq86-26\\0.12x \leq60\\x \leq \frac {60} {0.12}\\x \leq500

The total minutes of usage must not exceed 500 per month. Consequently, the viable choice is option C.

Answer:

Option C

3 0
25 days ago
​A factory manufactures tennis balls. Each tennis ball is stamped with the number ​1, 2, 3, or 4. The table shown below lists th
PIT_PIT [9121]

Answer:

Step-by-step explanation:

I concluded the answer is.25 because it makes sense and I was correct.

4 0
27 days ago
Find the interest for each loan. $252 at 8% for 2 years: ________ $400 at 2% for 6 months:________ $5,000 at 3.5% for 1 year:___
lawyer [9240]

Hello! I'm here to assist you! To calculate interest, we apply the formula prt, which involves multiplying the principal (the amount of money initially), the rate (the interest rate), and the time (typically in years). Here are the results:

$252 at 8% over 2 years yields $40.32
$400 at 2% for a duration of 6 months results in $4
$5,000 at 3.5% for 1 year gives $175
$6,240 at 10% for 9 months amounts to $468

For period calculations, we convert months into decimals: 6 months equals 0.5 years, and 9 months equals 0.75 years. Simply multiply the principal amount by the percentage in decimal form and by the time, and that’s it!

4 0
29 days ago
Read 2 more answers
Isabella built a time travel machine, but she can't control the destination of her trip. Each time she uses the machine she has
babunello [8423]

The likelihood that at least one trip occurs before Isabella's birth is 0.7627.

Step-by-step explanation:

In this scenario, Isabella has invented a time machine, but she lacks control over where she travels. Each use of the device holds a 0.25 probability of leading her to a time preceding her birth. Over the initial year of trials, she operates her machine 5 times. If we assume every journey has an equal chance of going back in time, we can calculate the odds that at least one of these trips occurs before she was born. Here's the calculation:

The probability of traveling to a time prior to her birth is 0.25.

The chance of not traveling back in time, given that the machine is used 5 times:

⇒ (1-0.25)(1-0.25)(1-0.25)(1-0.25)(1-0.25)

⇒ (1-0.25)^5

⇒ (0.75)^5

The probability that at least one trip goes before Isabella's birth is equal to 1 minus the probability of not traveling back to that period:

⇒ 1-(0.75)^5

⇒ 0.7627

Consequently, the chance that at least one trip travels before Isabella's birth is 0.7627.

4 0
19 days ago
Read 2 more answers
Helena uses a mixture of compost and topsoil in her garden. She purchased a total of 10 cubic yards of compost and topsoil for $
Inessa [9006]

Let C denote the quantity of compost

T represent the quantity of topsoil

Each cubic yard of compost is priced at $25

Thus, the cost of C cubic yards of compost is 25C

Each cubic yard of topsoil costs $15

Therefore, the cost for T cubic yards of topsoil is 15T

Together, the amount of compost plus topsoil equals 10

C + T = 10 -------> Equation 1

The total cost for compost and topsoil is $180

25C + 15T = 180 --------> Equation 2

Rearranging the first equation to find C

C + T = 10

results in

C = 10 - T

Now substitute into the second equation

25C + 15T = 180

25 ( 10 - T) +15T = 180

Using like terms: 250 - 25T + 15T = 180

From which we can simplify to 250 - 10T = 180 by removing 250 from both sides

-10T = 180 - 250

yielding -10T = -70 (dividing both sides by -10)

results in T = 7


4 0
7 days ago
Read 2 more answers
Other questions:
  • Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real n
    8·1 answer
  • How many more shares in A&D than shares in peer comms ltd. Would you be able to buy with $500 in year 2?
    12·1 answer
  • Pedro cut a sheet of poster board into 10 equal parts. His brother used some of the poster board and now 8/10 is left. Pedro wan
    8·2 answers
  • Jessica wants to calculate her grade in her accounting class.she has four test grades (82, 65, 71, and 77) and a homework grade
    6·1 answer
  • By visual inspection, determine the best-fitting regression model for the data plot below
    5·2 answers
  • 243.875 to nearest tenth, hundredth, ten, and hundred
    11·1 answer
  • A recipe for salsa uses 65% tomatoes. If a batch contains 5.2 cups of tomatoes, how large is the batch of salsa.
    15·1 answer
  • Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a
    10·1 answer
  • In a high school there are 1200 students. Estimate the probability that more than 130 students were born in January under each o
    12·1 answer
  • Determine if JK and LM are parallel ,perpendicular, or neither. J(13,-5) K(2,6) L(-1,-5) M(-4,-2)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!