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
Oduvanchick [21]
3 years ago
12

Suppose that circles R and S have a central angle measuring 80°. Additionally, circle R has a radius of 3 ft and the radius of c

ircle S is 6 ft. If the measure of the sector for circle R is 2π ft2, what is the area of the sector for circle S?
Mathematics
1 answer:
DerKrebs [107]3 years ago
8 0

Let 

rA--------> radius of the circle R

rB-------> radius of the circle S

SA------> the area of the sector for circle R

SB------> the area of the sector for circle S

 

we have that

rA=3 ft

rB=6 ft

rA/rB=3/6----> 1/2-----------> rB/rA=2

SA=2π ft²

 

we know that

 

if Both circle A and circle B have a central angle , the square of the ratio of the radius of circle A to the radius of circle B is equals to the ratio of the area of the sector for circle A to the area of the sector for circle B

 

(rA/rB) ^2=SA/SB-----> SB=SA*(rB/rA) ^2----> SB=(2) ^2*(2π)--->

SB----------- > 8π ft²


the answer is

the area of the sector for circle S is 8π ft²


You might be interested in
HELP HELP HELP HELP HELP
RideAnS [48]
A(b)=10*((b+7)/2)
A(b)=5(b+7)
b+7=A/5
b=A/5 - 7
B(a) = a/5 - 7
Answer C.




7 0
3 years ago
Read 2 more answers
Round the following numbers as indicated: a) To four sig. figs.: 1. 21.860051 = 2. 5.687524 3. 112.511 b) To two sig figs: 1. 79
Maksim231197 [3]

Step-by-step explanation:

21.86

112.5

79.3

3.41

41.9

6 0
3 years ago
What is 7+3t over 4 = -t over 8
katrin [286]
7+3t       -t
------- = -----  is the relevant equation here.  We don't ask, "What is 7+3t over
   4          8    -t over 8," but rather "Solve the following equation for t."

Cross multiplying, 56 + 24t = -4t
 
                                       -56
Then:  28t = 56, and t = ------ = -2 (answer)
                                         28

The solution to "<span>What is 7+3t over 4 = -t over 8" is t = -2.</span>
5 0
4 years ago
HELP PLEASE. Solve. 6(x+20)=168
KiRa [710]

Answer:

x=8

Step-by-step explanation:

6(x+20)=168

Divide each side by 6

6/6(x+20)=168/6

x+20 =28

Subtract 20 from each side

x+20-20 = 28-20

x =8

4 0
3 years ago
Read 2 more answers
1. The radioisotope Iodine-123 is used in thyroid therapy. The half-life of this isotope is 13.27 hours.
Mandarinka [93]
1. Answer: D. <span>A = 100 (1/2)^t/13.27

</span>Exponent equation formula would be an= a0( 1+r)^t
In this question, the radio isotopes will become half of its weight after the half-life. So, the ratio would be -0.5 (r= -0.5)
The halftime is 13.27 hours, so the time will be divided by that number. The result would look like this:
an= a0( 1+r)^t
an= a0( 1-0.5)^t/13.27
an= a0( 1/2)^t/13.27

2. Answer: x= 74°

<span>The ladder and the building will make a right triangle with the ladder as the hypotenuse. 
The foot of the ladder is 2 feet from the building, so the adjacent side is 2ft.
It reaches a point 7 feet high on the building, so the opposite side is 7ft</span>
You can find the angle by using the tan equation

tan x= opposite / adjacent
tan x= 7/2= 3.5
x= 74°
7 0
4 years ago
Other questions:
  • Which of the following could be a solution to a system of linear equations including the line graphed below?
    7·1 answer
  • Find the slope of the line that passes through (5,4) and (-4,3
    13·1 answer
  • An expression is shown below:
    14·2 answers
  • A man buys s T-shirt at $p each and sells them at $q each. Find his profit in terms of s , p and q.
    14·2 answers
  • What is the volume of a cylinder that is 81.7% full, has a diameter of 16.4 inches and a height of 3 feet.
    8·1 answer
  • Sec(x+1)/tan(x) = tan(x)/sec(x-1)
    12·1 answer
  • The revenue R you receive for selling pizza slices depends on the price p that you charge per slice and is modeled by R =-16p
    9·1 answer
  • What is the prime factorization of 72?​
    5·2 answers
  • Lois is riding in the country. after riding her bike at a constant speed for 4 hours, she finds that she traveled a distance of
    13·2 answers
  • 3 is what percent of 14?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!