answer.
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
Strike441 [17]
1 year ago
9

Henry constructed circle A with a radius of 4 units. He then created a sector as shown in the figure below. Which of the followi

ng expressions would help him find the area of the shaded sector?

Mathematics
1 answer:
puteri [66]1 year ago
8 0
The picture in the attached figure

we know that
area of a sector=(∅*pi/360°)*r²--------> when ∅ is in degree

in this problem
∅=120°
r=4 units
so
area of a sector=(120°*pi/360°)*4²-------> (120°/360°)*(16*pi) units²

The <span>expressions to find the area of the shaded sector is
</span>(120°/360°)*(16*pi) units²

(1/3)*(16*pi)----> (16/3)*pi units²

the area of the shaded sector is  (16/3)*pi units²

You might be interested in
Carly will be going to college in 3 years. She anticipates that she will need $12,000 to pay for the first year. She currently h
kupik [55]
<span>Carly needs to deposit  $350 into the savings account per month over the next 3 years to be able to pay for her first year of college</span>
4 0
2 years ago
A researcher wants to develop a product for families who have small children. He needs to determine if there is a nationwide int
krok68 [10]

Answer:

b

Step-by-step explanation:

3 0
1 year ago
Read 2 more answers
The triangle DEF is shown in the diagram.<br>Find the exact value of x.<br>​
vladimir1956 [14]

Answer:

x = 4

Step-by-step explanation:

Using cosine triangle formula, we know that;

c² = a² + b² - 2ac(cos C)

From our diagram;

a = 2x

b = x + 1

c = 7

C = 60°

Thus;

7² = (2x)² + (x + 1)² - 2(2x)(x + 1)cos 60

49 = 4x² + (x² + 2x + 1) - (4x² + 4x)(0.5)

49 = 5x² + 2x + 1 - 2x² - 2x

3x² + 1 - 49 = 0

3x² - 48 = 0

3x² = 48

x² = 48/3

x² = 16

x = √16

x = 4

8 0
1 year ago
In the SuperLottery, three balls are drawn (at random) from ten white balls numbered from $1$ to $10$, and one SuperBall is draw
Mice21 [21]

Answer:

1/3

Step-by-step explanation:

Lets start with the red ball because it is easier. You have 1/10 chances to pick the same number that is drawn randomly. Thus your base probability is .1

Now going to the white balls, you need atleast 2 numbers picked as the numbers drawn. Let's say we pick numbers 1-3. In order to win, the numbers 1 and 2, 2 and 3, 1 and 3, or 1 2 and 3 must be drawn. You can calculate the probability for each of these cases. In the case only 2 are drawn, the probability for each is 0.075. Since there are three cases that this could happen, you multiply this probability by 3, becoming 1/4. However, there is also the chance that you get all three. The probability of this is 3/10*2/9*1/8.

.225 + .1 + 0.008333  = 33.333...% or 1/3

4 0
2 years ago
Three out of seven students in the cafeteria line are chosen to answer survey questions. How many different combinations of thre
Andreyy89

Answer:

The number of different combinations of three students that are possible is 35.

Step-by-step explanation:

Given that three out of seven students in the cafeteria line are chosen to answer a survey question.

The number of different combinations of three students that are possible is given as:

7C3 (read as 7 Combination 3)

xCy (x Combination y) is defines as

x!/(x-y)!y!

Where x! is read as x - factorial or factorial-x, and is defined as

x(x-1)(x-2)(x-3)...2×1.

Now,

7C3 = 7!/(7 - 3)!3!

= 7!/4!3!

= (7×6×5×4×3×2×1)/(4×3×2×1)(3×2×1)

= (7×6×5)/(3×2×1)

= 7×5

= 35

Therefore, the number of different combinations of three students that are possible is 35.

3 0
1 year ago
Read 2 more answers
Other questions:
  • Use the prefix multipliers to express each measurement without any exponents. (Enter the number in the first blank and the units
    8·1 answer
  • James conducted an experiment with 4 possible outcomes. He determined that the experimental probability of event A happening is
    5·2 answers
  • 43.586 to the nearest tenth, hundredth and one
    6·2 answers
  • A game has a rectangular board with an area of 44in2. There is a square hole near the top of the game board in which you must no
    7·1 answer
  • Riya is applying mulch to her garden. She applies it at a rate of 250,000 cm^3 for every m^2 of garden space
    15·2 answers
  • Simplify the expression ASAP 8p3
    7·1 answer
  • The manager of a bagel shop wants to add some new flavors that will appeal to his customers. Which surveying method is most like
    5·1 answer
  • A factory produces weighted balls to use for exercise, by filling spherical rubber shells of different sizes with a sand-like ma
    9·1 answer
  • The lines below are perpendicular. If the slope of the green line is ą, what is
    10·1 answer
  • Damaris will be working at the local pool over his nine-week summer break. His net pay will be $123.56 each
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!