Find the area of the shaded portion.
6
120

Find The Area Of The Shaded Portion.6120

Answers

Answer 1

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

Find The Area Of The Shaded Portion.6120
Answer 2

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


Related Questions

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.50 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.

Answers

Answer; $94.20

Explanation;
Find 20% of $78.50
If 20%=$15.70

Add both values;
$94.20

What are the terms in the expression 4 + 9V +6w?

Answers

Answer:

4, 9v, and 6w

Step-by-step explanation:

I'm pretty sure it's right

To practice for a competition, Christian swam 0.51 kilometer in the pool each day for 4 weeks. How many meters did Christian swim in those 4 weeks?

Answers

Answer:

14.28

Step-by-step explanation:

does anyone know the answer to this? thank you!

Answers

Answer:

[tex] \alpha = \frac{arc \: length}{radius} \\ arc \: length = \alpha \times radius \\ = 50 \times \frac{\pi}{180} \times 7 \\ arc \: length = 350 \times \frac{\pi}{180} \\ = 1.94 \times \pi \\ = 6.1metre \\ thank \: you[/tex]

plss help me with this:((((​

Answers

Step-by-step explanation:

what is a square ? or is a number or term/expression for which the square root creates a clean result without any endless positions after the decimal point or non-integer exponents.

for the first problem a is already the right answer.

14b⁴ is not a square term, although b⁴ itself is one (= b²×b²), because 14 is not a square (its square root is an endless number).

1 is actually a square (= 1×1).

b² and y⁴ are squares (b×b and y²×y²).

16b² and 49 are squares (4b×4b and 7×7).

(b+1)⁴ and 4b⁶ are squares ((b+1)²×(b+1)² and 2b³×2b³).

factors of x² + 5x - 6

you know how generic factor multiplication works ?

(x + a)(x + b) = x² + ax + bx + ab

so by comparing, we see that

ax + bx is 5x

therefore

a + b = 5

and

ab = -6

now we could solve this ultimately quadratic problem or (much simpler) use the answer options and see which one fits.

and the right answer is c :

-1 + 6 = 5 (that fits)

-1×6 = -6 (that fits too, so this answer is correct).

What is a standard form equation of the line through (0,-3) with slope 2/5?

Answers

Answer:

-1 = -1

Step-by-step explanation:

y = mx + b

y=-3  x=0 and m=2/5

-3 = (2/5)0 + b

Since 2/5(0) is 0, b must be -3.

So the equation is y = (2/5)x - 3

Add the slope to the given point and you get (5, -1)

-1 = (2/5) 5 - 3

-1 = 2 - 3

-1 = -1

Can somebody help me with this question, im stuck on it.

Answers

Answer:

180 degrees

Step-by-step explanation:

Transformations don't change the size or angles of a triangle.

We know the angle of T & S. We need to find R.

To do this we will do...

180 - (60+40) =

= 180-100

=80

R is 80 degrees.

Now to find Triangle ABC we will add up 60+40+80 to get 180 degrees.

Also, remember that triangles will ALWAYS add up to 180 degrees.

Hope this helps! Please give this a rating and press the heart button! Thanks!

I’m confused…Find u and v

Answers

Hmm maybe A? We learned this at school a while ago, I could be wrong.

Find x and y. ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Answers

[tex]\\ \sf\longmapsto 2x+11=3x-9[/tex]

[tex]\\ \sf\longmapsto x=11+9[/tex]

[tex]\\ \sf\longmapsto x=20[/tex]

And

[tex]\\ \sf\longmapsto y+10=2y-40[/tex]

[tex]\\ \sf\longmapsto 2y-y=10+40[/tex]

[tex]\\ \sf\longmapsto y=50[/tex]

Step-by-step explanation:

x

2x + 11 = 3x - 9

2x - 3x = -9 - 11

x = -20

[tex] \: [/tex]

y

y + 10 = 2y - 40

y - 2y = -40 - 10

-y = -50

y = 50

someone plz solve it

Answers

Answer:

the volume would be 9

Step-by-step explanation:

Answer:

5.760 or 4 cube root 3

Step-by-step explanation:

I need help solving this

Answers

Answer:

Step-by-step explanation:

(-16x+13)+(-20x+23)=180. I know that the sum of those two angles would equal 180, since they are supp.

x=-4

Then I would sub in -4 where I see a x

-16(-4)+13=77

-20(-4)+23=103

angle LMP = 77

angle NMP = 103

together = 180 so it's correct

Please include an explanation as well. Thank You!

Answers

Solution:

[tex]A = \frac{B r_{1}r_{2}}{ C {x}^{2} } \\ = > A C {x}^{2} = B r_{1}r_{2} \\ = > r_{1} r_{2} = \frac{A C {x} ^{2} }{B} \\ = > r_{1} = \frac{A C {x} ^{2} }{B r_{2}} [/tex]

Answer:

[tex]r_{1} = \frac{A C {x} ^{2} }{B r_{2}} [/tex]

Hope it helps.

Do comment if you have any query.

Can somebody help ????

Answers

Answer:

Answer is 4, explained answer in the comments because I didn't see the answer button, but now I do.

Which point is in the graphed solution set of this system of inequalities?
4x-3y<12
6x+3y>5

A. (2,2) B. (0,-6) C. (2,-1) D. (-2,0)

Answers

Answer:

01110100 01101000 01100101 00100000 01101101 01100001 01110100 01110010 01101001 01111000

Step-by-step explanation:

A string of length if meter is cut into 6 equal pieces. What is the
total length of 2 of the pieces? You need to simplify.

Answers

Answer:

1/3

Step-by-step explanation:

2/6=1/3

Write an equation of the line in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

Y=1/2x+3

The casino will pay you $20 for every dollar you bet if your number comes up. How much profit is the casino making on the bet

Answers

Answer:

The casino is making 47 cents profit on your $1 bet

Step-by-step explanation:

19(1/38) + (-1)(37/38) = -0.4736

The quotient of k and 9 is greater than 1/3

Answers

k/9 > 1/3
i believe this is how it is represented.

- 3/4(12x+16)<9-5x Show your work

Answers

Answer:

x > -5.25

Step-by-step explanation:

Mr Denmark has 28 students in his class he wants to see them in seven equal rows how many students will be nitro

Answers

4 people would be in each row of there were 7 rows

help help help help pls

Answers

Answer:

hope this helps

Step-by-step explanation:

a. 1/4 as a power of 2 = root 4 v/2

b.

Radium-226 mass decays to 1/4 of it mass every 6400 years

64gr ( 1/4) = 16gr ----→after 6400 years its mass is 16gr

now its current mass is 16gr

16gr (1/4) = 4gr -----> after another 6400 years its mass is 4gr

again, its current mass after 12800 years is 4gr

4gr (1/4) = 1gr ------> after another 6400 years its mass is 1gr

why 4600 3 times? = 4600+4600+4600 = 19200 years

the remaining mass after 19200 years is 1gr

An online store charges $5 to ship one box and $10 to ship two boxes. Write an explicit formula for an arithmetic sequence to represent the amount the online store pays to ship n boxes. Use the explicit formula to determine how much the online store charges when shipping 11 items.

Answers

Write an explicit formula for an arithmetic sequence to represent the amount the online store pays to ship n boxes.

From what we know so far,

y = 5n

Use the explicit formula to determine how much the online store charges when shipping 11 items.

y = 5(11)

y = 55 dollars

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

$55

Step-by-step explanation:

Since we are not given much information in this problem, we know this must be a pretty simple sequence. If we make a sequence of Natural Numbers and match it up to the prices we've been given, we get

1,2,3,4...

5,10,15...

The price is increasing by five dollars for every "n", so our sequence is just 5n. Extrapolating this out gives us $55 for n=11

2.67 is best classified as a ______________ number.

Fill the blank
Y

Answers

Answer:

rational

Hope this helps!

lmk if it does

The first term of a geometric sequence is -2 and the common ratio is 3, What is the sixth term of the sequence?

Also, Write the Recursive Rule fo the seqeunce from above ^

Answers

Answer:

a₆ = - 486

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = 3 , then

a₆ = - 2 [tex](3)^{5}[/tex] = - 2 × 243 = - 486

The recursive rule allows a term in the sequence to be found by multiplying the previous term by the common ratio, that is

[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] with a₁ = - 2

the solution a+b>-9 is a >-15. What is the value of b
PLEASEEEEE HELP PLEASEEE

Answers

Answer:

b>6

Step-by-step explanation:

what is the output when in the input is 7

Answers

Answer:

If the input is 7 then output is:-Tiny Small. Explaination: - 7 is smaller than 10 so output is tiny.

Given

a= ∅

b=B

c= then A ∪ B=B

d= A

e = then A ∩ B=B

1. If A ⊂ B

2. If B ⊂ A

3. A ∪ ∅

4. A ∩ ∅

5. B ∪ ∅

Answers

Answer:

Step-by-step explanation:

A ∪ B 2.A ∪ C 3.A ∩ B 4.A ∩ C 5.B ∩ C. 4 - {1,3,5} 5 - null, or empty set ... a = ∅ b = B c = then A ∪ B = B d = A e = then A ∩ B = B. 1. If A ⊂ B ...

-5(2x -3) + 4x = - 3x + 6

Answers

We have -5(2x-3) + 4x = -3x + 6
<=> -10x + 15 + 4x = -3x + 6
<=> -10x + 4x + 3x = 6 - 15
<=> -3x = -9
<=> x = 3

Ok done. Thank to me:>

Find the missing side of the right
triangle.
7
4
Х
x= [?]
Enter the number that belongs in the green box,

Answers

Step-by-step explanation:

using Pythagoras theorem,

(hypotenuse)² = (perpendicular)² + (base)²

given that, hypotenuse =x, perpendicular =7, base =4

(x)² = 7² + 4²

(x)² = 49 + 16

x = √65

I need a answer please help me with this
Geometry

Answers

Answer:

where are answer can u say

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