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
V125BC [204]
3 years ago
5

How do i solve for this?

Mathematics
1 answer:
Firdavs [7]3 years ago
5 0

9514 1404 393

Answer:

  97.42 square units

Step-by-step explanation:

The area of a sector is given by ...

  A = (1/2)r²θ

where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.

  75° = (75°)×(π/180°) radians = (5/12)π radians

Then the area is ...

  A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units

__

Equivalently, you can find the area of the circle in the usual way:

  A = πr² = π(12.2²) ≈ 467.59465

Then, multiply by the fraction of the circle that is shaded (75°/360°)

  sector area = (467.59465)(75/360) = 94.42 . . . square units

You might be interested in
Maggie was doing research for her Ph.D. in physics when a 12 mg sample of radioactive material decayed to 3 mg in 26 minutes. De
netineya [11]

The general way to work this out is to solve the general expression for
the remaining quantity versus half-life, using logarithms.  But that's not
necessary with these numbers.

Look at the numbers:

-- 3 mg is  1/4  of  12 mg.

-- 1/4  is the product of  (1/2) x (1/2).

-- So the  3 mg is what's left of  12 mg after  2  half-lives.
The  26  minutes must be two half-lives.

-- The half-life of that substance is  26/2 = <em>13 minutes</em>.

Go Maggie !

3 0
3 years ago
Trina's teacher asked her to explain the division problem 48 ÷ 12. Which choice gives the correct explanation?
miskamm [114]

B.) 48 has to be broken up into 12 to get 4
6 0
3 years ago
Read 2 more answers
The Fruitz fruit and vegetable shop is selling grapes at a price which is 10% cheaper than the Happy Fruiterer fruit and vegetab
sdas [7]

Answer:

(a) It costs $55 at Happy Fruiterer

(b) It will cost $49.64

(c) It is cheaper at Happy Fruiterer the second week

Step-by-step explanation:

Since Fruitz shop sells as 10% less than Happy Fruiterer at $50

10% more of $50 = 50 × 10/100 + 50

= $5 + $50 = $55

(a) n Kg of grapes will cost $55 at Happy Fruiterer

(b) if Happy Fruits discounts $55 by 5%, we will have

55 × 5/100 = 2.75

that is $55 - $2.75 = $52.25

If it is discounted further at 5% more the following week, we will have

$52.25 × 5/100 = $2.6125

≈ $2.61

Then the new price for the 2nd week is $52.25 - $2.61

= $49.64

(c) at the second wee of discounting, Fruitz shop still sells at $50 will Happy Fruiterer now see at $49.64. Therefore, it is cheaper at Happy Fruiterer

8 0
2 years ago
If the cube shown above is sliced by a plane to create a rectangle that is not a square, which sets of vertices could the plane
Veronika [31]
If I’m sure it should be D or C
3 0
3 years ago
guy wants to add 7,145 and 8,265 and using mental math strategies what steps could guy take to add the number is guy,s answer co
TEA [102]
First add the biggest number like thousand together and the go in to the last numbers
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is 4 divided by 2,658
    15·2 answers
  • I need the Answer.... PLZ PLZ PLZ
    11·1 answer
  • 5km + 3400m +15000cm=
    5·2 answers
  • Which equation shows a linear relationship between the variables stated?
    6·1 answer
  • I need help please ASAP i will mark branlist
    5·1 answer
  • How do I solve this?
    11·2 answers
  • Desmond is 3 inches taller than Niki.
    6·1 answer
  • Need help with this
    14·1 answer
  • PLEASEE HELP!!
    7·1 answer
  • 4
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!