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
aalyn
1 month ago
6

A car entered a roundabout from Mason Avenue, traveled 280 feet, then turned onto Perry Street. If the roundabout has a diameter

of 150 feet, find the angle of rotation to the nearest degree the car traveled
Mathematics
1 answer:
Leona [12.6K]1 month ago
7 0

Answer:

The rotation angle measures 214°.

Step-by-step explanation:

Arc length formula:

The arc length equals the radius multiplied by the central angle (in radians).

L= rθ

L= Arc length

r= Radius

θ= Central angle (in radians).

Given L= 280 feet and diameter =150 feet.

Radius =\frac{150}{2} feet =75 feet

L= rθ

\Rightarrow \theta =\frac{L}{r}

\Rightarrow \theta =\frac{280}{75} radians.

We know that,

π radian= 180°

\Rightarrow 1 \ radian= \frac{180^\circ}{\pi}

\Rightarrow \frac{280}{75} \ radian = \frac{180^\circ}{\pi}\times \frac{280}{75}

                      = 214°

The rotation angle measures 214°.

You might be interested in
A school fundraiser sells 1,200 raffle tickets. Each ticket costs $2. There is one grand prize worth $100 and 5 smaller prizes w
Svet_ta [12734]
The expected loss is $1.83. Step-by-step explanation: The average value for each ticket is calculated as... ($100 + 5($20)) / 1200 = $200 / 1200 ≈ $0.1667 ≈ $0.17. Since purchasing a ticket costs $2.00, your anticipated value becomes... -$2.00 + 0.17 = -$1.83, leading to a loss of $1.83.
4 0
1 month ago
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1300 seats. The student
Leona [12618]
77%

I prefer using ratios and cross multiplication for scenarios like this. Divide the part (1001) by the whole (1300), and set that equal to x percent of 100 percent.

1001/1300 = x/100
100100 = 1300x
x = 77
3 0
1 month ago
A nationwide survey of 100 boys and 50 girls in the first grade found that the daily average number of boys who are absent from
Leona [12618]
The formula to calculate the difference between two standard deviations of populations n1 and n2 is:
sigma (difference)=√(sigma1/n1 + sigma2/n2). For this scenario:

sigma(d)= √(49/100 + 36/50)

Thus, the calculated standard deviation of the difference equals 1.1.

6 0
1 month ago
Read 2 more answers
Alex can ski 960 meters in 5 minutes. If his skiing speed is increased by 20 m/min, how many meters can he cover in 10 minutes?
tester [12383]
Initially, we need to determine how fast he skis in a minute without considering any speed increase.
To do that, we'll divide the total distance by the time.
960 divided by 5 equals 192.
Therefore, his speed is 192 meters per second.
Now, let's add 20 to this figure.
192 plus 20 equals 212.
Now, to calculate how far he can travel in 10 minutes, we multiply 212 by 10.
212 times 10 equals 2120.
Thus, Alex can cover 2120 meters in 10 minutes.
3 0
1 month ago
Read 2 more answers
Can the sum of two mixed numbers be equal to two
lawyer [12517]
No, mixed numbers must include both a whole number and a fraction to qualify as such. If a fraction were present, it wouldn’t sum to two due to the presence of the 1's ❤️.
7 0
26 days ago
Other questions:
  • Kathy counts 9 goats and sheep at the petting zoo. Her brother counts 4 goats. Write 2 ways you can find how many sheep there ar
    12·2 answers
  • Brandon purchased a new guitar in 2012. The value of his guitar, t years after he bought it, can be modeled by the function A(t)
    15·1 answer
  • Bettina spent $75 on 5 shirts that each cost the same price. three of the shirts were red. which expression represents the total
    12·3 answers
  • adam and betty purchased a printer together for $258. If adam paid $18 less than twice betty, how much money did Adam pay for th
    14·2 answers
  • A right triangle (triangle 1) has a hypotenuse length of 115 mm and α = 31.2°. What are the measurements for a, b, and β? 2. A r
    14·1 answer
  • What is the greatest perfect square that is a factor of 396?
    15·1 answer
  • A student conducting a research study was told by her professor to use a scatterplot in conjunction with calculating the correla
    11·1 answer
  • A cube with a side length of 1008 units is dropped and completely submerged in a cube-shaped container. If the water level in th
    5·1 answer
  • Clayton places tiles that spell the word time in a bowl. He draws one tile from the bowl and then without replacing it, draws an
    14·2 answers
  • Hyo-Jin makes bracelets and sells them on an online craft website. Last month, she sold 6 bracelets. After paying the website a
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!