MATHEMATICS MIDDLE SCHOOL

In a circle of radius 60 inches, a central angle of 35 will intersect the circle forming an arc of length _____.36.65 inches

14.58 feet

36.65 feet

175 inches

Answers

Answer 1

Answer:

Answer: 36.65 inches

Step-by-step explanation:

The length of arc with a central angle x and radius r in a circle is given by :-

$l=(x)/(360^(\circ))*2\pi r$

Given : Radius of a circle = 60 inches

Central angle = $35^(\circ)$

Now, the of length of arc is given by :-

$l=(35^(\circ))/(360^(\circ))*2\pi(60)\n\n\Rightarrow\ l=(0.097222222222)2(3.14159265359)(60)=36.6519142918\approx36.65$

Hence, the length of arc = 36.65 inches.

Answer 2

Answer:

36.65 inches

Step-by-step explanation:

To calculate arc length, multiply theta (in radians) with radius.

First, convert 35 degrees to radians (35pi)/180= 0.61087

Then, multiply by 60 inches= 36.65

36.65 inches

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Given the following functions f(x) and g(x), solve f[g(10)] and select the correct answer below: f(x) = 10x + 8 g(x) = x + 9

How do you do something like this?

(8/10)^-2

Answers

( 4 / 5 )^-2 = ( 5 / 4 )^2 = 25 / 16 ;

A dance student wants to know the favorite type of dance class for students at The Dance Academy. She surveys each student in her ballet class. In which way could the results of her survey be most improved? She could sample an equal number of students in each type of dance class. She could sample a proportional number of students in each type of dance class. She could sample one student in each type of dance class. She could sample one teacher from each type of dance class.

Answers

The teacher should sample a proportional number of students in each type of dance class so that it possess all qualities of a good sample.

What is a good sample?

Firstly, the sample should be representative of the population. The teacher's goal is to determine the favorite type of dance class for students. Thus, sample should also consist of students only. This rules out option four. Sample cannot consist of teachers.

Secondly, the sample should be large enough to draw meaningful conclusions from it. This rules out option three. Sampling one student in each type of dance class will not give reliable results.

Third, the sample should be proportional. It will give truly accurate results id each unit or group of the population is fairly represented in the sample. Therefore, option two i.e., sampling a proportional number of students in each type of dance class is the best choice.

Learn more about good sample here

brainly.com/question/13708253

#SPJ3

Answer: (B) She could sample a proportional number of students in each type of dance class.

Step-by-step explanation: 100%

What is the area of the regular octagon with a side length of 10 m and an apothem of 12.1 m?A.
242 m2

B.
363 m2

C.
484 m2

D.
968 m2

Here is a picture if you need it.

Answers

A = 2 * a^2 * (1 + sqrt 2)

Where 'a' is the side length.

A = 2 * 10^2 * (1 + sqrt 2)

A = 2 * 10^2 * 2.41421356

A = 2 * 100 * 2.41421356

A = 200 * 2.41421356

A = 482.842712

Therefore, the closest one is C.

Round 275,608 to the nearest thousand

Answers

The answer is 276,000.

Hope that helps :]

275,608 rounded to the nearest thousand is 276,000

A ferris wheel can accommodate 50 people in 20 minutes.What was the rate per hour?

Answers

There is 60 minutes in a hour so there is 50 people in 20 minutes.
60 divide by 20= 3 20 times 3 equals to a hour so now you woud have to multiply the the people. 50 x 3= 150
In a hour there would be 150 people that ride the ferris wheel

The cost of 4 cartons of fresh cream is $5.76. What is the cost of 13 such cartons?