![jaceraulerson7249](/avatars/9772.jpg)
jaceraulerson7249
09.04.2020 •
Mathematics
What’s the answer????
Solved
Show answers
More tips
- S Style and Beauty How to Choose the Right Fur Coat and Avoid Regrets?...
- C Computers and Internet How to Create a Folder on Your iPhone?...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
Answers on questions: Mathematics
- M Mathematics Which input value produces the same output value for the two functions? g(x) The tables represent the functions f(x) and g(x). х f(x) Х -3 -5 -3 -13 -2 -3 -2. -9 -1 -1 -1...
- M Mathematics What is 4,539 divided by 51...
- M Mathematics What number is 10 more than 237...
- M Mathematics What is 78% of 112?.....
- M Mathematics What is the slope for y=-3x...
- M Mathematics -6(a+b) in worked out form...
- M Mathematics How much is 15% of $78.65?...
- M Mathematics 6g 300mg-5g 200mg is equal to?...
- M Mathematics Are there 9 factors of 20 maths...
- M Mathematics What is 942 divided by 45...
Ответ:
Explanation:
PC = 12 is the radius, so 2*12 = 24 is the diameter
Circumference = pi*diameter = pi*24 = 24pi
Let x be the central angle APC.
To find the length of minor arc AC, we use this formula
L = (x/360)*(circumference)
L is the arc length and x is defined as above. Plug in 24pi for the circumference and plug in L = 68pi/15 which is the shortest distance from A to C along the circle. Solve for x
L = (x/360)*(circumference)
68pi/15 = (x/360)*(24pi)
68pi/15 = pi*x/15
68/15 = x/15 ... divide both sides by pi, the pi terms cancel
68 = x multiply both sides by 15, the denominators cancel
x = 68
The central angle APC is 68 degrees. Therefore, minor arc AC is 68 degrees as well.
Now use the inscribed angle theorem. This says that the inscribed angle is half that of the arc it cuts off. This means inscribed angle ABC is half that of minor arc AC.
angle ABC = (1/2)*(minor arc AC)
angle ABC = (1/2)*(68)
angle ABC = 34 degrees
Ответ:
Sample Response: Each base must be treated separately. Since each base is raised to a negative exponent, they should both be in the denominator of the fractions. The simplified form of the expression has 1 in the numerator and r to the 8th power times s to the 5th power in the denominator.