1answer.
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
Nana76 [90]
3 years ago
7

Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. We learned about the de

gree measure of an arc, but they also have physical lengths.

Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

The question is incomplete. Here is the complete question.

Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. we learned about the degree measure of an ac, but they also have physical lengths.

a) Determine the arc length to the nearest tenth of an inch.

b) Explain why the following proportion would solve for the length of AC below: \frac{x}{12\pi } = \frac{130}{360}

c) Solve the proportion in (b) to find the length of AC to the nearest tenth of an inch.

Note: The image in the attachment shows the arc to solve this question.

Answer: a) 9.4 in

c) x = 13.6 in

Step-by-step explanation:

a) \frac{arclength}{2\pi.r } = \frac{mAB}{360}, where:

r is the radius of the circumference

mAB is the angle of the arc

arc length = \frac{mAB.2.\pi.r }{360}

arc length = \frac{90.2.3.14.6}{360}

arc length = 9.4

The arc lenght for the image is 9.4 inches.

b) An <u>arc</u> <u>length</u> is a fraction of the circumference of a circle. To determine the arc length, the ratio of the length of an arc to the circumference is equal to the ratio of the measure of the arc to 360°. So, suppose the arc length is x, for the arc in (b):

\frac{x}{2.6.\pi } = \frac{130}{360}

\frac{x}{12\pi } = \frac{130}{360}

c) Resolving (b):

x = \frac{130.12.3.14}{360}

x = 13.6

The arc length for the image is 13.6 inches.

You might be interested in
9/17 15/34 6/17 9/34 geometric sequence?
zysi [14]
In a geometric sequence each number after the first is found by multiplying the previous number by a fixed number called the common ratio.

In an arithmetic sequence, each term is equal to the previous term plus or minus a constant called the common difference.

In your problem we have a sequence of numbers that appears to be decreasing in value, but on the surface it doesn't appear to be by any constant number... but if you look closely, the denominator 34 is exactly twice the other denominator 17. This would lead me to look at a common denominator to see if anything takes shape...

9/17 = 18/34
15/34
6/17 = 12/34
9/34

Now we see that each number is the previous number minus 3/34, so we have a common difference of 3/34.

This would match the definition of an arithmetic sequence and NOT a geometric sequence.
6 0
3 years ago
Whats is 10% of 40 please answer this
Furkat [3]

Answer: 4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Town B is 6 miles due north of town A, and town C is due east of town A. It is 11 miles from town B to town C. Find the distance
nadya68 [22]

Answer:

12.53 miles

Step-by-step explanation:

6² + 11² = x²

36 + 121 = x²

157 = x²

x = 12.53 miles

4 0
3 years ago
Read 2 more answers
A triangle with lengths 12 in, 14 in, and 16 in, what type of triangle is that?​
iragen [17]

Answer:

scalene triangle

Picture:

(in attachment)

5 0
2 years ago
How u solve this problem<br> 7x-y=6 -7x+y=-6
slava [35]

\underline{+\left\{\begin{array}{ccc}7x-y=6\\-7x+y=-6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=0\\\\\text{Infinitely many solutions}\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\y=7x-6\end{array}\right

4 0
3 years ago
Other questions:
  • It says check the solution to the example problem by replacing n in the original equation with -2 and evaluating both sides. Wha
    7·1 answer
  • -5x +3y +6z=4<br> -3x + y + 5z=-5<br> -4x + 2y + z= 13
    12·2 answers
  • What is the measure of an exterior angle in a regular 19-gon?
    12·1 answer
  • Evaluate the surface integraliintegral.gifSF � dSfor the given vector field F and the oriented surface S. In other words, find t
    9·1 answer
  • HELP PLEASE! The distances from a ship to two lighthouses on the shore are 4 miles and 7 miles respectively. If the angle betwee
    6·1 answer
  • Find the value of X in the isosceles triangle shown below.
    13·1 answer
  • Please help its easy but I dont understand it​
    5·1 answer
  • A variable that can be discrete or continuous is​
    11·2 answers
  • Write the following number in correct scientific notation: 0.003538<br> Ski
    5·1 answer
  • The cost of 1 movie ticket is $7.50. The cost of 2 movie tickets is $15. Based on this constant rate of change, what is the cost
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!