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
Nina [5.8K]
4 years ago
12

Suppose that circles A and B have a central angle measuring 75°. Additionally, circle A has a radius of 5 2 feet and the radius

of circle B is 9 2 feet. If the length of the intercepted arc for circle A is 25 24 π feet, what is the length of the intercepted arc for circle B? A) 5 8 π feet B) 8 5 π feet C) 8 15 π feet D) 15 8 π feet
Mathematics
1 answer:
spin [16.1K]4 years ago
6 0
Let 
rA--------> radius of the circle A
rB-------> radius of the circle B
LA------> the length of the intercepted arc for circle A
LB------> the length of the intercepted arc for circle B
 
we have that
rA=5/2 ft
rB=9/2 ft
rA/rB=5/9--------> rB/rA=9/5
LA=(25/24)π ft
 we know that
if Both circle A and circle B have a central angle , the ratio of the radius of circle A to the radius of circle B is equals to the ratio of the length of circle A to the length of circle B
rA/rB=LA/LB--------> LB=LA*rB/rA-----> [(25/24)π*9/5]----> 15/8π ft
 
the answer is
the length of the intercepted arc for circle B is 15/8π ft
You might be interested in
Plz solve this as fast as u can ​
cluponka [151]

Step-by-step explanation:

The value of x is 40 degree

8 0
3 years ago
The length of a rectangle is 3 less than 5 times the width, w. Find the perimeter of the rectangle
marysya [2.9K]

Answer:

P = 12x -6

Step-by-step explanation:

L = 5x - 3

W = x

P = 2(L + W)

P = 2(5x -3 + x)

P = 2(6x -3)

P = 12x -6

6 0
3 years ago
Help need on 2 algebra problems !!!!!!! please
gogolik [260]

Answer:

1) C. 2

2) A. 2

Step-by-step explanation:

1. We need to descompose 256 into its prime factors:

256=2*2*2*2*2*2*2*2=2^8

We must rewrite the expression \sqrt[8]{256}:

=\sqrt[8]{2^8}

We need to remember that:

\sqrt[n]{a^n}=a

Then:

=2

2. Let's descompose 16 into its prime factors:

16=2*2*2*2=2^4

We must rewrite the expression \sqrt[4]{16}:

=\sqrt[4]{2^4}

Then we get:

=2

7 0
3 years ago
The graph shows the solution to which system of inequalities?
Westkost [7]

Answer:

The graph shows the solution to the system inequalities

y ≥ -3x + 3 and y ≥ 2x ⇒ answer D

Step-by-step explanation:

* Lets study the graph to solve the question

- There are two solid lines, that means the sign of the inequalities

  are ≤ or ≥

- One of the two line passes through the origin and the other

  intersect the y-axis

- The shaded region is over the two lines, then the signs of the

  inequalities are ≥ (greater than or equal)

* Lets make the equations of the two lines

∵ The form of the equation is y = mx + c, where m is the slope of the

   line and c is the y-intercept

- The rule of the slope of the line wich passes through points (x1 , y1)

  and (x2 , y2) is m = (y2 - y1)/(x2 - x1)

- Y-intercept means the line intersect the y-axis at point (0 , c)

* Now lets find from the graph two points on each line to make the

 equations of the lines

# The line which passes through the origin

∵ Points (0 , 0) and (5 , 10) are on the line

- Let (0 , 0) is (x1 , y1) and (5 , 10) is (x2 , y2)

∴ m = (10 - 0)/(5 - 0) = 10/5 = 2

∴ The equation of the line is y = 2x + c

∵ The line passes through the origin

∴ c = 0

∴ The equation of the line is y = 2x

- The shaded is over the line

∴ The inequality is y ≥ 2x

# The line which intersect the y-axis at point (0 , 3)

∵ Points (0 , 3) and (1 , 0) are on the line

- Let (0 , 3) is (x1 , y1) and (1 , 0) is (x2 , y2)

∴ m = (0 - 3)/(1 - 0) = -3/1 = -3

∴ The equation of the line is y = -3x + c

∵ The line passes through the point (0 , 3)

∴ c = 3

∴ The equation of the line is y = -3x + 3

- The shaded is over the line

∴ The inequality is y ≥ -3x + 3

∴ The graph shows the solution to the system inequalities :

   y ≥ -3x + 3 and y ≥ 2x

8 0
4 years ago
Adam is in mexico where the temperature is given degrees celsius . To convert to fahrenheit you multiply the celsius temperature
Anestetic [448]

Answer:

When temperature is 30 in degrees Celsius then temperature in degree  Fahrenheit  is 86.

Step-by-step explanation:

Let C denotes the temperature in degree Celsius and F denotes the temperature in degree Fahrenheit.

According to the given question,

To convert to Fahrenheit we multiply the Celsius temperature by 9/5 and add 32.

Mathematically it can be written as,

F=C\times\frac{9}{5}+32

For example , let us take the temperature  in mexico to be 30 degrees Celsius to convert the temperature to Fahrenheit  we can use this equation as ,

F=C\times\frac{9}{5}+32

Put C = 30, we get

\Rightarrow F=30\times\frac{9}{5}+32

\Rightarrow F=6 \times 9+32

\Rightarrow F=54+32

\Rightarrow F=86

Thus, when temperature is 30 in degrees Celsius then temperature in degree  Fahrenheit  is 86.

4 0
3 years ago
Other questions:
  • Enter a negative that is great than -10
    5·1 answer
  • A standard number cube is rolled two times. What is the probability that the sum of the two rolls is 13?
    8·1 answer
  • Any number that can be written as a fraction, any number without a decimal or fraction, fractions, and any numbers with decimal
    14·1 answer
  • Please help ASAP thank youu!!
    6·1 answer
  • How do you solve this
    12·1 answer
  • What is the point with origin symmetry with (-5,3)
    13·1 answer
  • Help Please!!!!!!<br> second page part A of pdf<br> please answer asap!!!!!
    9·1 answer
  • ANNNSWER PLZ 20 c rule
    14·2 answers
  • HELP PLEASE WILL MARL BRANIEST IF right
    13·1 answer
  • 82 added to a number is the same as 36
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!