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
sergiy2304 [10]
3 years ago
14

Suppose that circles A and B have a central angle measuring 100°. Additionally, the measure of the sector for circle A is 10π m2

and for circle B is 40π m2.If the radius of circle A is 6 m, what is the radius of circle B?
A) 8 m
B) 10 m
C) 12 m
D) 16 m
Mathematics
2 answers:
Kazeer [188]3 years ago
5 0

Answer:

OptionC

Step-by-step explanation:

A circle A has radius 6m.

One sector has area as 10 pi m^2

central angle = 100 degrees

Area of the sector = \frac{100}{360} \pi(6)^2

Area of sector in circle B = \frac{100}{360} \pi(r)^2

where r=radius of circle B

Hence ratio of these would be the ratio of square of radii

i.e.\frac{10}{40} =(\frac{6}{r} )^2\\\frac{1}{2} =\frac{6}{r} \\r=12 m

So radius of circle B = 12m

Option C is right

34kurt3 years ago
3 0
12 m

<span><span>10π</span><span>40π</span></span><span> = </span><span><span>62</span><span>x2</span></span>
x = 12

<span>When </span>circles<span> have the same </span>central<span> angle measure, the </span>ratio<span> of measure of the </span>sectors<span> is the same as the </span>ratio<span> of the radii </span>squared<span>.</span>
You might be interested in
Write the equation of the line that passes through (0, 3) and is parallel to the line 3x + 5y = 6.
Pavel [41]
Please, see the offered decision:
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6   k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):
y=- \frac{3}{5}x+3 \ or \ 3x+5y=15
3 0
3 years ago
On average, college graduates spend more money on the lottery than those with only a high school education. True or false?
Anettt [7]
True. College graduates often spend more money on lottery tickets than those with only a high school education, hoping to win big to pay off student loans. Hope this helps!
5 0
3 years ago
Read 2 more answers
If a woman has three children find the probability that the first child is a boy
kow [346]

I believe its a 1/8 chance.

4 0
3 years ago
Kendall had $1000 in a savings account at the beginning of the semester. She has a goal to have at least $350 in the account by
USPshnik [31]

Answer:

11 weeks

Step-by-step explanation:

First we need to check what variables we have.

Beginning Balance = $1000

Goal = $350

Withdrawal = $55 per week

Now let's declare a variable as the number of weeks.

Let x  = number of weeks

1000 - 55x = 350

-55x = 350-1000

-55x = -650

Then we divide both sides by -55 to find the value of x.

x = 11.81 or 11 since we're looking for how many weeks in total

Now let's see if we still have 350 if we have a total of 11 as the value of x.

1000 - 55(11) = 350

1000 - 605 = 350

395 = 350

We can see that Kendall will have $395 compared to the $350 goal.

So Kendall can withdraw $55 a week for 11 weeks to still be within her goal of having $350 in her savings account.

6 0
3 years ago
Trevor made this number pattern 2,9,16,23,30,37 if the pattern continues what will be the eight number be
Katena32 [7]

Answer:

44

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • The area of a playground is 320 yd2. The width of the playground is 4 yd longer than its length. Find the length and width of th
    8·2 answers
  • the perimeter of a square is 56. The side lengths are 3 times a number increased by 2. find the value of x
    14·1 answer
  • Sue bought ten items at an average price of $3.60. The cost of eight of the items totaled $30. If the other two items were the s
    12·2 answers
  • What decimal is equivalent to 26.4 %
    12·2 answers
  • Jasmin is adding 29 photographs to her album. How many sheets of the album will she use if each sheet holds 6 photographs? Can s
    15·1 answer
  • X + 8 = -6<br><br> need this asap ty
    7·2 answers
  • 6. Find cos C using the triangle below. Answers may be in decimal OR fraction form.​
    14·1 answer
  • Find the domain of the graphed function​
    8·2 answers
  • I need help. Plz Help Me, PLZZZZZZZZ
    7·1 answer
  • A random number generator generates numbers from 1 to 10. What is the probability that the number generator generates a 3 ?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!