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
IrinaVladis
16 days ago
7

A merry-go-round has a radius of 18 feet. If a passenger gets on a

Mathematics
1 answer:
Zina [3.9K]16 days ago
6 0

Answer:

The rotation angle measures 2.11 °

Step-by-step explanation:

Stated as follows:

The radius of the circular path = r = 18 feet

The distance rolled by the wheel = l = 38 feet

Let us denote the angle of rotation as Ф

Now, according to the problem:

∵ the length of an arc at the center corresponds to an angle Ф

Thus,

distance rolled by the wheel = π × radius × \frac{\Theta }{180^{\circ}}

As 180° represents π radians

And π approximates to 3.14

Thus, distance rolled by the wheel = 180 °× radius × \frac{\Theta }{180^{\circ}}

That is l = r × Ф

So, Ф = \frac{l}{r}

Consequently, Ф = \frac{38 feet}{18 feet}

Therefore, Ф = 2.11 °

Thus, the rotation angle is Ф = 2.11 °

Hence, the rotation angle is 2.11 ° Answer

You might be interested in
A journalist wants to determine the average annual salary of CEOs in the S&P 1,500. He does not have time to survey all 1,50
Inessa [3926]

Answer:

At least 315

Step-by-step explanation:

A journalist intends to find the average annual salary of CEOs within the S&P 1,500. Due to time constraints, a sample is used.

Standard deviation of the sample (s) = 449300

Sample size = n

Permissible margin of error = 50000

Z critical value = 1.96

Thus, 1.96 times the standard error equals 50000.

Standard error equals 25510.20

Standard deviation divided by the square root of n = 25510.20

By simplifying, we can derive:

\sqrt{n} =\frac{449300}{25510.20} =17.752\\n=315\\

Thus, the minimum sample size required is 315.

8 0
12 days ago
How much profit was generated by the sales of gold label and black label combined?
lawyer [4039]
The profit produced by combining sales of gold label and black label equals the total of their individual profits. From the table \begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Gold label}&1,000&\$2.75\end{array} you find the gold label's profit 1,000\cdot \$2.75=\$2,750. and similarly from another table \begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Black label}&2,000&\$1.50\end{array} find the black label's profit 2,000\cdot \$1.50=\$3,000.. Adding these yields \$2,750+\$3,000=\$5,750.. Thus, option 5 is the correct choice.
8 0
17 days ago
Read 2 more answers
Which expressions are equivalent to RootIndex 3 StartRoot 128 EndRoot Superscript x? Select three correct answers.
AnnZ [3900]

Answer:

- 128 Superscript StartFraction 3 Over x EndFraction

- (4RootIndex 3 StartRoot 2 EndRoot)x

- (4 (2 Superscript one-third Baseline) ) Superscript x

Step-by-step explanation:

Considerando la ecuación dada (\sqrt[3]{128} )^{x}\\

De acuerdo con una de las leyes de índices,

(\sqrt[a]{m} )^{b}\\= (\sqrt{m})^\frac{b}{a}

Aplicando esta ley a la pregunta;

(\sqrt[3]{128} )^{x}\\ = {128} ^\frac{x}{3}\\ \\= (\sqrt[3]{64*2})^{x} \\ = (4\sqrt[3]{2})^{x} \\= (4(2^{1/3} )^{x} )

<pLos siguientes son ciertos de acuerdo con el cálculo presentado

128 Superscript StartFraction 3 Over x EndFraction

(4RootIndex 3 StartRoot 2 EndRoot)x

(4 (2 Superscript one-third Baseline) ) Superscript x

5 0
11 days ago
Read 2 more answers
Will works 7 hours a day, 6 days a week.
PIT_PIT [3949]

For one day:
= £9.20 × 7
= £64.40

For six days:
£64.40 × 6 = £386.40

After sharing with his mom:
£386.40/7 × 5
= £55.20 × 5
= £276

To purchase a car worth £1932:
£1932/£276 = 7

Thus, he needs 7 weeks to save enough for the car priced at £1932.

6 0
9 days ago
What is the main reason Dylan uses the word uses the word “lonesome” to describe Hattie Carroll’s death?
lawyer [4039]

The correct answer is B. No one stood up for her

The song primarily addresses the racism prevalent in our nation. Dylan highlights that the murderer was not penalized initially; he was released on the night of the homicide due to his wealth, and during the trial, he received only a six-month term instead of a meaningful punishment. Hattie Carroll was largely overlooked in this scenario.

8 0
12 days ago
Other questions:
  • George put some cards into a basket. Then he drew 3 cards out of the basket. Is this a random sample of cards in the basket? Why
    11·1 answer
  • In golf, shooting par is scored as a 0. A score of 2 below par on a hole in golf is called an eagle. Jacob’s friend Michelle sco
    15·2 answers
  • a company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software progra
    6·2 answers
  • You are asked to bake muffins for a breakfast meeting. Just as you are about to start making them, you get a call saying that th
    10·1 answer
  • Joey and Nolan are each solving the equation 13x - 42 = 18 - 7x.
    14·1 answer
  • C) Your parents have been advised to save 5% of their income for your college education
    10·2 answers
  • Jeremy drew a polygon with four right angles and four sides with the same length. Name all the polygons that he could have drawn
    8·1 answer
  • A bag contains 3 red blocks, 2 green blocks, and 1 blue block. Shelby will randomly select blocks, without replacement. What is
    10·1 answer
  • Fourteen less than three fourths of a number is negative eight. Find the number
    5·1 answer
  • Statisticians for a roadside assistance company interviewed 50,000 randomly selected United States (US) households. Of those, 15
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!