What is the value of ? show your work help please.​

Answer:

A = 36√3 - 12π

Step-by-step explanation:

Make 2 identical 30-60-90 triangles out of the "wedge"

For each 30-60-90 triangle:

Since the short leg is 6 the long leg is 6√3

short leg is the base and long leg is the height

a = (1/2)bh

a = (1/2)(6)(6√3)

a = 3(6√3)

a = 18√3

Since there are 2 triangles

a = 36√3

--------------------------------

Then subtract off the area of the 120º sector

a = (120/360)πr^2

a = (1/3)π(6^2)

a  = (1/3)π(36)

a = 12π

Shaded area

a = 36√3 - 12π

Step-by-step explanation:

we have the areas of 2 right-angled triangles minus 1/3 the area of the circle (because the 120 degree segment of the circle is 1/3 of the whole 360 degree circle).

since the answer is asking for a square root, we need to aim for the result of a Pythagoras calculation.

basically, the area of a triangle is

1/2 × b×c × sin(A)

A being the angle between the 2 sides b and c. for any 2 sides of the triangle.

one triangle is from the outmost left point to the center of the circle and up to the 90 degree angle. the other triangle is then down to the second right angle.

we know all angles in such a triangle : 90, 120/2 = 60, 180-90-60 = 30.

remember, the sum of all angles in a triangle is 180 degrees.

so, via the law of sines we can then calculate all sides :

a/sin(A) = b/sin(B) = c/sin(C)

with the angles being opposite of the sides.

6/sin(30) = baseline/sin(90)

6/0.5 = baseline/1

12 = baseline

top side² + 6² = 12²

top side² = 12² - 6² = 144 - 36 = 108

top side = sqrt(108) = sqrt(36×3) = 6×sqrt(3)

we pick then top side and 6 as the 2 sides, so that we can use sin(90)=1 in the formula.

the area of the 2 triangles is then

6×sqrt(3)×6×sin(90) = 36×sqrt(3)

and the circle segment to be deducted is

pi×r²/3 = pi×6²/3 = pi×36/3 = pi×12

so, the complete answer is

A = 36×sqrt(3) - 12×pi

Answer:

14 yd²= 126 ft²

5.4 cm² = 540 mm²​

[tex]2a + 5 = 11 \\ = > 2a = 11 - 5 \\ = > 2a = 6 \\ = > a = \frac{6}{2} \\ = > a = 3[/tex]

a = 3

Hope it helps.

Do comment if you have any query.

Answer:

1) 2n + 1 = 17

2) n - 3 = 12

3) 3n = 2n + 5

4) 2n + 2 = n + 8

Step-by-step explanation:

Use "n" to represent the unknown number.

For question one:

we double the number → 2n

then we increase (add) by one → + 1

is (equal) to seventeen → = 17

For question two:

three less (minus) than a number is (equals) twelve → n - 3 = 12

Question three:

triple (times 3) a number is the same (equal) as double (times 2) the number increased (add) by five → 3n = 2n + 5

Question four:

double (times two) a number increased (add) by two is (equals) the same as the sum (add) of the number and eight → 2n + 2 = n + 8

Answer:

Top right

Step-by-step explanation:

The equation is saying that x is greater than or equal to the number two. That mean our line will be bold and not dotted and the the shaded area will be everywhere past the 2 line

Answer:

7.7 × [tex]10^{6}[/tex]

Step-by-step explanation:

Start off with finding the digits in this case it would be 7,700,000

Now insert a decimal so that it is a number under 10.

That would be 7.7

to figure out what the exponent would be you have to count how many "jumps" the decimal takes to get back to the original number.

It would take 6 "jumps" to end up back to 7,700,000

Now that we have that information we can make the scientific notation

1) Take the number (7.7)

2) Multiply the number by 10 with the exponent of "jumps"

Thus,

7.7 × [tex]10^{6}[/tex]

Answer:

2.5

Step-by-step explanation:

2.5x4=10

10-10=0

Answer:

D

Step-by-step explanation:

Answer:

23/25

Step-by-step explanation:

(25x+20)/25x+3x/25x

20+3/25=23/25

28x+20

Step-by-step explanation:

[tex]2.5(10x + 8) + 3x \\ 25x + 20 + 3x \\ 28x + 20[/tex]

Answer:

-2/9

Step-by-step explanation:

Since the denominators are the same, we can combine like terms

4/9 + (-6/9)

-2/9

[tex] \: \: \: \: \: \: [/tex]

[tex] = - \frac{2}{9} [/tex]

Step-by-step explanation:

[tex] \frac{4}{9} + \frac{ - 6}{9} [/tex]

[tex] \frac{4 - 6}{9} [/tex]

[tex] \frac{ - 2}{9} [/tex]

[tex]use \: \: \frac{ - a}{b } = \frac{a}{b} = - \frac{a}{b} \: \: \: \: to \: \: rewrite \: \: the \: \: fraction[/tex]

[tex] = - \frac{2}{9} \\ \\ or \: \: in \: \: alternate \: form \\ \\ - 0.2[/tex]

[tex] \: \: \: \: \: \: [/tex]

Answer:

There are 8 pieces of string cut

Explanation:

27.2 ÷ 3.4 = 8

Answer:

Answer:

Answer:

15x=-4

Step-by-step explanation:

Answer:

  A, B, C are perfect squares. Their roots are 22, 66, 89.

  D is not a perfect square. The root is about 94.995

Step-by-step explanation:

Your calculator can help. The integer is a perfect square if its square root is an integer.

  A. √484 = 22 . . . . 484 is a perfect square

  B. √4356 = 66 . . . . 4356 is a perfect square

  C. √7921 = 89 . . . . 7921 is a perfect square

  D. √9024 ≈ 94.9947... . . . . not a perfect square

__

Additional comment

When you compute the square root using the "long division" method, the first step is to divide the radicand into groups of 2 digits. The most significant digit of the root will be the root of the largest square less than the leftmost group.

For example, the first step in finding the root of 4356 is to divide it into the groups 43'56'. The most significant digit of the root will be 6, because 36 = 6² is the largest square less than or equal to 43.

If the number is a perfect square, the least-significant digit of the radicand will be the least-significant digit of the square of the least-significant digit of the root. Here, the least digit of 43'56' is 6, which can only be the least-significant digit of 4² = 16 or 6² = 36. No other single digits have a square ending in 6.

So, if the number 4356 is a perfect square, it must be the square of 64 or 66. It is the square of 66. (If you're familiar with powers of 2, you know 64²=4096.)

Answer:

No answer is be 28%

5+9+7+4=25

7/25 + .28 =28%

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is D)130 hope it helps

Answer: b > 16

Step-by-step explanation:

Because a > -25, b must be at least greater than 16, as if a is -25.1, for example, b must be 16.11.  

Answer:

Step-by-step explanation:

Answer:

c > -22 1/2

Step-by-step explanation:

Step 1: Multiply both sides by -5/2 and flip the sign.

Therefore, the answer is c > -22 1/2.

Answer:

-3 -2.5 -1 2 5

Step-by-step explanation:

In order to do this you can look on a number line or you could look at the numbers carefully and the biggest number with a minus is what you start with and end it with a positive number.

Answer:

7/13

Step-by-step explanation:

You would first have to turn the fraction into an improper fraction to find the reciprocal of the fraction!

1 6/7 = 13/7

Reciprocal means reverse, so reverse the improper fraction of 13/7 to get 7/13!

I hope this helps you!

Answer:

5 2/5 ft

Step-by-step explanation:

2 4/5 + 2 3/5 = 4 7/5 = 4 + 5/5 + 2/5 = 4 + 1 + 2/5 = 5 2/5

Answer:

5 2/5 feet of ribbon

Step-by-step explanation:

   2 4/5

+  2 3/5

    5 2/5

plz mark brainliest

Answer:

i would say either F or G

i guess choose F

Answer:

8

Step-by-step explanation:

Answer:  W = 20 1/3, L = 7 2/3 cm

Step-by-step explanation:

Width, W, is 5 cm more than twice the length of the perimeter.

Perimeter = 2W + 2L

W = 2L+5

Perimeter is 56cm:

56 cm = 2W + 2L

Substitute W = 2L + 5 for W:

56 cm = 2W + 2L

56 cm = 2(2L+5) + 2L

56 cm = 4L + 10 + 2L

6L = 46 cm

L = 7 2/3 cm

Since W = 2L + 5

W = 2(7 2/3) + 5

W = 2 (23/3) + 5

W = 46/3 + 5

W = 15 1/3 + 5

W = 20 1/3

2W + 2L = P?

2(20 1/3) + 2(7 2/3) =56 ?

40 2/3 + 15 1/3 = 56?

56 = 56  YES

Answer:

80

Step-by-step explanation:

=》The answer is 3.

Steps are in the attachment.

______

Hope it helps :)) ⚜

Answer:

The answer is 3

Step-by-step explanation:

By using PEMDAS, calculate the parenthesis first.

10-(5-(4-(8-2))

10-(5-(4-6)

10-(5-(-2)

10-7

= 3

Answer:the data shows that the authors cannot make a determination either way with this data

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

on edge

Answer:

x=15

y= 21

Step-by-step explanation:

6x-11+x+5+81=180

6x+x+86-11=180

7x+75=180

-75. -75

7x=105

--- ----

7. 7

x=15

substitute the x value we just got into the following equation to find y

4y-18+y+14+6x-11=180

4y-18+y+14+6(15)-11=180

4y+y+14+79-18=180

5y+75=180

-75 -75

5y=105

---- -----

5. 5

y=21