Is this right? thank you

Find the area of the shaded region.

Papessa [141]

Answer:

21.46 cm²

Step-by-step explanation:

because the question want only for the SHADED REGION but NOT AREA OF THE SQUARE

(if we just multiply 10x10. you will get the area of a square which is hundered)

To find the shaded region:

1. area of a circle is πr² (we have 4 circle there)

2. Find the area of all circle

# how do we know the radius?

- half of 10 is 5

- 5 is the diameter of each circle

- the radius is half of 5 which is 2.5

- π(2.5)² = 25/4π (area of 1 circle)

3. since we have 4 circle then, 25/4π x 4 = 25π

4. the area of the square is 100cm²

5. we want the shaded region so we have to minus the area of the circle

6. 100 - 25π (use your calculator to find the answer)

answer should be 21.46 cm²

(hope this helps)

8 0

4 years ago

Given sin x =-4/5 and x is in quadrent 3, what is the value of tan x/2

4vir4ik [10]

Answer:

We can write sin x in terms of tan x/2 using the formula:

⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))

Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.

⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))

Now, if we replace tan (x/2) by y, we get a quadratic equation:

⇒ 0.8y2 + 2y + 0.8 = 0

⇒ 2y2 + 5y + 2 = 0

By using the quadratic formula, we get y = -0.5, -2

Hence, the value of tan (x/2) = -0.5, -2

Now, we have two solutions of tan (x/2).

Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).

For tan (x/2) = -0.5:

⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3

It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.

Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.

Now let's check for tan (x/2) = -2.

⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3

Here, we get tan x = 4/3 which is positive.

Hence, we can say that tan (x/2) = -2 is a correct solution.

5 0

3 years ago

A certain region of a country houses 1/178 of the total number of libraries in the country. If there are about 10680 libraries i

expeople1 [14]

Answer:

poop

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Please help!!! And please be accurate!!! Thank you!!

dem82 [27]

Answer:

BCDA is equivalent to FGHE

A is equivalent to angle E

B is equivalent to angle F

C is equivalent to angle G

D is equivalent to angle H

Step-by-step explanation:

1st step is just figuring out which sides corresponds with which.

A is equivalent to angle E

B is equivalent to angle F

C is equivalent to angle G

D is equivalent to angle H

On the last one I am confused by what it is asking, but here is what I think:

The scale factor from the big figure to the small figure is 1.5 because of 15/10=1.5

12/8=1.5 and so on.

3 0

1 year ago

Barney's Book Store currently has 2000 books in stock. There are 3 times as many non-fiction books as fiction books. Determine t

xxMikexx [17]

Answer:

There are 1500 non fiction books and 500 fiction books currently in the store.

Step-by-step explanation:

Given:

Total Number of books = 2000

Let the number of fiction books be 'x'.

Now given:

There are 3 times as many non-fiction books as fiction books.

Number of non fiction books = $3x$

We need to find the number of non-fiction and fiction books.

Solution:

Now we know that;

Total Number of books is equal to sum of the number of non-fiction and fiction books.

framing in equation form we get;

$x+3x=2000\\\\4x=2000$

Dividing both side by 4 we get;

$\frac{4x}{4}=\frac{2000}{4}\\\\x= 500\ books$

Number of fiction books = 500

Number of non fiction books = $3x=3\times 500 =1500$

Hence There are 1500 non fiction books and 500 fiction books currently in the store.

8 0

3 years ago