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3 years ago

What is the area of the sector shown in the picture

Mathematics

1 answer:

tatuchka [14]3 years ago

7 0

Answer:

The area of the sector shown is 4.75 pi

Step-by-step explanation:

First we have to know what fraction of the total circle that part represents

for that we divide 45 by 360

45/360 = 1/8

now we calculate the area of the circle and divide it by 8

a = ( π * 6² ) / 8

a = ( π * 36 ) / 8

a = π * 4.75

a = 4.75 pi

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The school librarian, Mr. Marker, knows the library has 1,400 books but wants to reorganize how the books are displayed on the s

kipiarov [429]

Answer:

200 resource books

800 fiction books

400 nonfiction books

Step-by-step explanation:

Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.

We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.

We just need to find out the value of x.

We know there are 1,400 books in total and there are just 3 types of books. Therefore, if we sum all of them, we get the 1,400.

Written in math language, that is

x + 4x + 2x = 1,400

7x = 1,400

We divide by 7 on both sides and we get

7/7x = 1,400/7

x = 200

Now we replace the x with 200 to know how many books he has of each type:

Resource books = x = 200

Fiction books = 4*x = 4*200 = 800

Nonfiction books = 2*x = 2*200 = 400

Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.

The tape diagram is attached as an image.

8 0

3 years ago

Which of the following are true of F(x)?

Vikentia [17]

True:
1) F(x) is read as "F of x".
3) F is the graph at a particular value of x.
5) y is equal to F(x).

1) F(x) is read as "F of x", then first is true.
2) F(x) is the vertical distance on the graph, then second is false.
3) F is the grap at a particular value of x, then third is true.
4) F(x) can be any real number, then fourth is false.
5) y is equal to F(x), then fifth is true.

4 0

4 years ago

Read 2 more answers

Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute two gloves to each of six s

noname [10]

a) if the two gloves someone receives might both be for the left hand or right hand.

b) if each sister gets one left and one right.

Soln:

a) So i thought about dissectng the problem first into finding the number of ways in which I could make pairs of gloves:

C(12, 2)

then I asked how many ways could the sets of gloves be assigned amongst the 6 sisters:

6!6!

and taking the product of this would give me the amount of ways this could occur:

= C(12,2) * 6!

then for part b)

using this same idea except:

C(6,1) C(6,1) for the left and right glove each .

the C(6,1)*C(6,1)*6!

Right way to think them through?

7 0

4 years ago

33x-21x=-24+12 I need help on this math problem. Thanks

lions [1.4K]

X=3. 33x-21x equals 12x. 24+12=36. 12x divided by 36 equals 3

8 0

4 years ago

Practice: Activating Prior Knowledge

Elena-2011 [213]

Scientific notation is used to write really large numbers, or really small numbers using less digits. For example:

1. Earth's distance from the sun 150,000,000 kilometers. We can rewrite this in scientific notation as 1.5 x $10^{8}$

2. The length of a skin cell is 0.00003 meters. We can rewrite this in scientific notation as 3.0 x $10^{-5}$

3. The world population is about 7,000,000,000. We can rewrite this in scientific notation as 7 x $10^{9}$

4 0

3 years ago