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
Lera25 [3.4K]
2 years ago
12

Give the degree measure of the arc intercepted by the chord described. Round to the nearest tenth if necessary:

Mathematics
1 answer:
Gala2k [10]2 years ago
4 0

Answer: 60 degrees

Step-by-step explanation:

1. Make a right triangle where the right angle is and label the hypotenuse r.

2. Since the chord is equal to r and a 90-degree angle is formed at the intersection, the chord is bisected. Therefore, the chord segment is 1/2 r.

3. Since we have to solve for the intercepted arc, we must find the central angle ( the angle of the right triangle closest to the dot/center) of the arc, which in this case is the sin, or 0.5r/r.

4. We must get rid of the fraction in the numerator, so multiply both the numerator and denominator by 2 which gets you 1r/2r.

5. The r's cancel out, leaving you with 1/2.

6. Since we have to find the angle measure, you must take the negative sin of 1/2 which is 30 degrees.

7. Finally multiply by 2 since you only solved one bisected portion to get 60 degrees.

You might be interested in
What is the equation of the line that passes through the point ( − 3 , 1 )and has a slope of 2/3
andrezito [222]

Answer: y = 2/3x + 3

Step-by-step explanation:

We will write the equation in slope intercept form (y=mx+b).

In the formula y=mx + b,  m is the slope and b is the y intercept. We need the slope and y intercept numbers to write the equation. Since we know the slope we will use the given point to find the y intercept by plotting in the x and y coordinates into the formula.

1 = 2/3(-3) + b       Solve for b

1= -6/3 + b

1 = -2 + b  

+2   +2

b = 3  

The equation will be   y = 2/3x + 3

3 0
3 years ago
Find the following quotients and show your work:<br><br> a.6/4 divided 3/4
IRISSAK [1]
The answer to the question is 2

4 0
2 years ago
please help me if you think you're beautiful hot funny kind lovely please help me please i wanna get a good grade please help me
Svetllana [295]
I disagree with her because for every 1 is six, it shouldn’t have +y on it that is just adding a number that is unneeded
8 0
2 years ago
The shortest warmer was blue. The two longest warmers were pink.
bogdanovich [222]

Answer:

8

Step-by-step explanation:

The shortest leg warmer:

4.5

The longest leg warmers:

6 and 6.5

6 + 6.5 = 12.5

12.5 - 4.5 = 8

4 0
2 years ago
A shipping company charged $15 to ship a package and 5% of the shipping charge for insurance on the package. What was the total
pickupchik [31]
Take $15 and multiply it by 0.05 (this will get you the percent). You should get 0.75. So you add 0.75 to $15 and you should get $15.75
4 0
2 years ago
Read 2 more answers
Other questions:
  • A box of volume 180 m3 with square bottom and no top is constructed out of two different materials. The cost of the bottom is $4
    14·1 answer
  • Simplify : i attatched an image
    15·2 answers
  • In how many different ways can you answer a multiple choice test that has 5 questions and 3 choices for each answer?
    5·2 answers
  • 3. Which unit of measure would you use to measure the distance from<br> Frisco to Dallas?
    8·1 answer
  • brittany is thinking of a number that is divisible by 12 and 8 . what is the smallest possible number that brittany could be thi
    5·1 answer
  • State YOUR thoughts/reactions
    5·1 answer
  • Solve the equation 6 = p -8
    10·2 answers
  • 4 - 12 per hour. How many paners will that teacher review in 6-13 hours
    12·1 answer
  • I need help on this please! This is Geometry :) ​
    5·2 answers
  • A point M on a segment with endpoints X(1, −2) and Y(10, 3) partitions the segment in a 4:1 ratio. Find M. You must show all wor
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!