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
Citrus2011 [14]
3 years ago
13

Can someone help me with this question

Mathematics
1 answer:
horsena [70]3 years ago
6 0

Step-by-step explanation:

Given: diameter = 16 in

hence radius, r is 16 ÷ 2 = 8 in

a) notice that the fan blades divide the circle into 3 equal sectors.

Each sector is hence 1/3 of the entire circumference of the circle

Arc Length of each sector (between blades),

=  (1/3) x circumference

= (1/3) x 2πr

= (1/3) x 2 x 3.142 x 8

= 16.76 in (Answer)

b) similarly, the area between the blades

= (1/3) x πr²

= (1/3) x 3.142 x 8²

= 67.03 in² (answer)

c) The angular velocity is the radians per second that the tip moves

It is given that it moves 8π radians in 2 seconds

hence in 1 second, we expect the tip to move,

8π ÷ 2 = 4π rad/s (Answer)

You might be interested in
The number of acres a farmer uses for planting pumpkins will be at least 2 times the number of acres for planting corn. The diff
jeka94

Answer:

Step-by-step explanation:

A) Let x represent acres of pumpkins, and y represent acres of corn. Here are the constraints:

  x ≥ 2y . . . . . pumpkin acres are at least twice corn acres

  x - y ≤ 10 . . . . the difference in acreage will not exceed 10

  12 ≤ x ≤ 18 . . . . pumpkin acres will be between 12 and 18

  0 ≤ y . . . . . the number of corn acres is non-negative

__

B) If we assume the objective is to maximize profit, the profit function we want to maximize is ...

  P = 360x +225y

__

C) see below for a graph

__

D) The profit for an acre of pumpkins is the highest, so the farmer should maximize that acreage. The constraint on the number of acres of pumpkins comes from the requirement that it not exceed 18 acres. Then additional profit is maximized by maximizing acres of corn, which can be at most half the number of acres of pumpkins, hence 9 acres.

So profit is maximized for 18 acres of pumpkins and 9 acres of corn.

Maximum profit is $360·18 +$225·9 = $8505.

7 0
3 years ago
Julie and Jenna are selling bracelets that they made at a craft store. They are hoping to sell 200 bracelets. If Julie can make
raketka [301]
10 since 12+8 is 20 and thats daily 200/20=10
4 0
3 years ago
Read 2 more answers
What is the approximate volume of the cone? use 3.14 for
Natali5045456 [20]

Answer:

157 cm²

Step-by-step explanation:

volume = (1/3) * π * r² * h

volume = (1/3) * π * 5² * 6

volume = (1/3) * π * 25 * 6

volume = (1/3) * π * 150

volume = (1/3) * 471

volume = 157 cm²

8 0
3 years ago
4(x-11)^2=25
netineya [11]
Expand the square: 4(x-11)^ =25
4(x-11)(x-11)=25

Distribute : 4(x-11)(x-11)=25
4(x(x-11)-11(x-11))=25

Distribute: 4(x(x-11)-11(x-11))=25
4(x^-11x-11(x-11))=25

Solution: x=17/2
x=27/2

hope that helps
8 0
3 years ago
Solve for c. 3abc + b = 5
Anastasy [175]

Answer:

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • the perimeter of this rectangle and area, and if the area was 100 what would the value of x be, also if the area is 200, what is
    9·1 answer
  • Which function represents g(x), a reflection of f(x) = 6across the y-axis?
    8·2 answers
  • Mike and nine of his teammates each ate a half of a pizza, how many whole pizzas did they consume all together? A) 5 B) 2 5 C) 5
    12·1 answer
  • Attachment below. Please Help!!
    6·1 answer
  • SHOW YOUR WORK!HELP!ILL GIVE YOU BRAINLIEST!<br> -5/6 + (-2/3)
    15·2 answers
  • Hose bought 1.5 pounds of apples for $3.60 how much would 3/4 of a pound of apples cost
    7·1 answer
  • PLSSS HELPP ASAP
    7·1 answer
  • Linda scored 80% in her French test. If she received 60 marks, find the total number of marks possible for the test
    12·2 answers
  • Find n.
    15·1 answer
  • Please help! math question for college algebra mth 107!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!