12 120° 3 3 Fig. 12.51 Calculate the area of the shaded segment in Fig. 12.51. (Leave your answer in terms of .) [JAMB]​

12 120 3 3 Fig. 12.51 Calculate The Area Of The Shaded Segment In Fig. 12.51. (Leave Your Answer In Terms

Answers

Answer 1

Answer:

[tex]\text {The \ area \ of \ the \ shaded \ segment, A} = 3 \cdot \pi - \dfrac{9}{4} \cdot \sqrt{3}[/tex]

Step-by-step explanation:

The details of the circle that has the shaded segment, and the segment are;

The radius of the circle, r = 3

The angle of the arc of the segment, θ = 120°

The area of a segment, A, is given as follows;

[tex]A = \dfrac{\theta}{360^{\circ}} \times \pi \times r^2 - \dfrac{1}{2} \times r^2 \times sin(\theta)[/tex]

The area of the given segment is therefore;

[tex]A = \dfrac{120^{\circ}}{360^{\circ}} \times \pi \times 3^2 - \dfrac{1}{2} \times 3^2 \times sin(120^{\circ}) = \dfrac{12\cdot \pi-9\cdot \sqrt{3} }{4} = 3\cdot \pi - (9/4)\cdot \sqrt{3}[/tex]


Related Questions

What is the solution for x in the equation?

-4 + 5x − 7 = 10 + 3x − 2x

A.
x=4/13
B.
x=13/4
C.
x=21/4
D.
x=4/21

Answers

Answer:

C. x = 21/4

Step-by-step explanation:

-4 + 5x − 7 = 10 + 3x − 2x

=> 5x + 2x - 3x = 10 + 7 + 4

=> 4x = 21

=> x = 21/4 (Ans)

Answer:

d. x = 4/21

Step-by-step explanation:

-4 + 5x − 7 = 10 + 3x − 2x

5x-11 = x+10

4x = 21

x = 4/21

hope it helps :)

please mark brainliest!

Help ASAP please and thank you

Answers

it x the first one that the cause it going the other way

how many times do 6x-4y=2 and -2y+3x=1

Answers

Answer:

Infinite Solutions

Step-by-step explanation:

If you graph both lines (shown below), you will see that both lines given are overlapping each other. This means that their are an infinite amount of solutions.

Best of Luck!

Jin bought a pair of pants that cost $47.83. The sale tax in her state is 7.43 % what is the total cost of the pants ?

(show your work) ​

Answers

Answer:

$51.38

Step-by-step explanation:

7.43% of 47.83=(rounded to the nearest hundredth) 3.55

7.43/100*x/47.83

x=3.55

because we are solving for x

we can also cross check by taking out the percentage

x/100*3.55/47.83

47.83x=355

x=7.42212000836

which is about 7.43%

47.83+3.55= 51.38

You just decided to open a savings account and went to the bank and made an initial deposit. You decide to save another set amount each month. Without any interest being paid, the equation =20+50





represents the amount of money,
y
, in your savings account after
m
months. Select what the slope and y-intercept represent in this problem.

(Choose 2)

Answers

Answer:

Options (1) and (4)

Step-by-step explanation:

Given equation for the deposit in the saving account is,

y = 20x + 50

Here, y = Amount of money in the account

20 = money added in the account every month

50 = Initial deposit

By comparing this equation with the slope-intercept form of the equation of a line,

y = mx + b

Here, slope m = money added in the account every month

And b = y-intercept

Therefore, Options (1) and (4) will be the answer.

what is angle G and H? please

Answers

Answer:

below

Step-by-step explanation:

that is the procedure above

I need help finding the equation.

Answers

Answer:

[tex]y=2^{x}\ -3[/tex]

Step-by-step explanation:

What is the area of the triangle? A) 6 squared inches B) 7 1/2 square inches. C) 10 square inches. D) 12 square inches

Answers

Answer:

A) 6 square inches.

Step-by-step explanation:

A(Triangle) = 1/2bh

b = base length

h = height length

A(Triangle) = 1/2(4)(3) = 6

Therefore, the area of the triangle is 6 in².

Which of the following represents the factorization of the polynomial below?
x2+13.x+42
A. (x+9)(x+4)
B. (x+5)(x+8)
C. (x+7)(x+6)
D. (x+21)(x + 21)

Answers

Answer:

C. (x+7)(x+6)

Step-by-step explanation:

F: X*X = X^2

O: x * 6 = 6x

I: 7 * x = 7X

L: 7*^ = 42

Did I do this right?

Answers

Answer:

it must be yes!

Step-by-step explanation:

kindly would like help please :,)

Answers

Answer:

B.  57

Step-by-step explanation:

Theorem:

In a triangle, the measure of an exterior angle is equal to the sum of the measures of its remote interior angles.

y + y = 114

2y = 114

y = 57

What single transformation can take you from A (3, 1) to A" (-7, 1) in one move?




Whoever helps me I will mark brainlest! :)

Answers

Answer: A reflection (Across the y-axis)

Step-by-step explanation:

Transformation possiblitites:

Translation: After plotting the points you gave I came to the conclusion that a translation could not be the right transformation due to the fact that the point would move away the same units on a graph as the original point.

Rotation: The new point doesn't seem when graphed to have rotated, as it remained across from the orignial point on the graph.

Dilation: The new point if dilated wouldn't be in close proximity with the original point.

what inequalities are shown by this graph?​

Answers

Answer:

the answer is going to be

x>27

Answer:

[tex]\sf{[27,\infty) }[/tex] is the inequality

What is the answer I need help ASAP be truthful

Answers

Answer:

your closest number should be A

Answer:

A.√99

Step-by-step explanation:

10^2 = 100

Or vise versa √100 = 10

The closest number to 100 is 99

So √99 is closest to 10

What is the value of k?

Answers

Answer:

k = 2

Step-by-step explanation:

[tex]\frac{8}{4} =\frac{4}{k}[/tex]

8k = 16

k = 2

Use the number line to show and explain why 4 over 10 divided by 2 and 1 over 2 times 4 over 10 both equal 2 over 10

Answers

Answer:

Please find the graph in the attached file.

Step-by-step explanation:

[tex]\to \frac{\frac{4}{10}}{2} \ and \ \frac{1}{2} \times \frac{4}{10} =\frac{2}{10}\\\\\to \frac{0.4}{2} \ and \ 0.5 \times 0.4 =0.2\\\\\to 0.2 \ and \ 0.2 =0.2\\\\ \to \frac{2}{10} \ and \ \frac{2}{10} = \frac{2}{10}\\\\[/tex]

I just need the answer to this, you don't need to show your work :)

Answers

Answer:   [tex]g(x) = -\frac{4}{x+5}+4[/tex]

===========================================================

Explanation:

We start with y = 1/x

Vertically stretching it by a factor of 4 gets us to y = 4/x. Simply multiply the right hand side by 4.

Then reflecting over the y axis means we replace every x with -x to get y = 4/(-x) but that simplifies to y = -4/x. So we can see that any y axis reflection is identical to an x axis reflection, and vice versa. This is due to the symmetry of hyperbolas like this.

Next, we replace x with (x+5) so that we shift the xy axis 5 units to the right, giving the illusion the curve shifts 5 units to the left.

Lastly, we tack on a +4 to shift the graph up 4 units.

The final result is [tex]g(x) = -\frac{4}{x+5}+4[/tex]

ASAP please help meeeeeeeeeeee

Answers

Answer:

-17/20

Step-by-step explanation:

Answer:

-17/20

Step-by-step explanation:

-1/4 equals -1/4 and +-3/5 equals -3/5

-1/4 -3/5 equals -5/20 -12/20

-17/20 is your answer

I NEED HELP ASAP
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or
negative correlation, describe its meaning in the situation.
Strawberries Picked
100
90
80
70
60
Quarts Picked
so
40
30
20
10
7 8 9
10
Time (hours)

Answers

Answer:

This is a negative correlation

Step-by-step explanation:

The graph tells us that as time passes on, less strawberries/Quarts are picked.

There are 256 players competing in a national chess championship tournament. The players compete until there is 1 winner. How many matches must be scheduled in order to complete the tournament?


A.256 matches


B.255 matches


C.128 matches


D.511 matches


Someone please help and explain to me on how to do this! PLEASE

Answers

Answer:

the correct answer is b

Step-by-step explanation:

there are 256 players so 128 matches will be there first and 128 will reach in second round and again 64 matches and half of them will be eliminated and do it till there will be final 2 then add matches played and u will get254 matches and 1 last match will be final

so ans is 255

Helen determined she walks about 1,800 steps per 5 of a mile. How many steps did she take if she walked 5 miles?​

Answers

Answer: Most likely 6,750 steps

On a map of South Asia, Nepal looks approximately like a rectangle
measuring 8.3 cm by 2.0 cm. The map scale is listed as 1:9,485,000. What is
the approximate real-world area of Nepal in square kilometers?

Answers

Answer:

VK for up ureueusidifdisodaaiwiwu

Four times a number less 7 is equal to 12 more than two times that number

Answers

Answer:

the number you're looking for is 9.5

Step-by-step explanation:

4x-7 = 12+2x

2x-7 = 12

2x = 19

x = 9.5

translate the following in to an expression 45% of a

Answers

Answer:

Your question is incomplete pleasegove the real question.

Step-by-step explanation:

the area of right angled triangle with its legs are 6cm and 8cm is equal to​

Answers

Answer:

A = 24 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 (6)*8

A = 24 cm^2

Which constant number would be an to both sides of the equation rn order to complete the square for the quadratic function 1=x^2-6x

Answers

Answer:

k = 9

Step-by-step explanation:

Given

[tex]1= x^2 - 6x[/tex]

Required

The perfect number

The coefficient c of x in the above equation is:

[tex]c = -6[/tex]

Divide by 2

[tex]c/2 = -3[/tex]

Square both sides

[tex](c/2)^2 = 9[/tex]

Hence, the constant to add is:

[tex]k = 9[/tex]

Can you answer this math homework? Please!

Answers

Answer:

1. (2.2, -1.35) and (2.2, -1.4)

2. y = 8x - 7

3. infinite number of solutions

4. (2.2,-1.4) (2.2,-1.35)

5. 6

6. (1.33,1)

Step-by-step explanation:

2x8-3^2+2? I know the answer but I don’t know how I got to it

Answers

Answer:

9 or 27

Step-by-step explanation:

2x8 -3 ^2 + 2

2x8  -9 + 2

16 - 9 + 2

= 9

or

2 x 8 - 3^2 + 2

2 x 8 + 9  + 2

16 + 9 + 2

= 27

Answer:

9 is the answer of your question

Step-by-step explanation:

2×8 -3²+216-9+218-99

Hope it is helpful to you

What are the domain and range of the function represented by the set of ordered pairs?{(–17, 18), (–10, –15), (0, 0), (3, –1)}

Answers

Answer:

See below.

Step-by-step explanation:

Here's an easy way to remember:  Domain and Range are in alphabetical order,  x and y are in alphabetical order.

The domain is the set of all x coordinates (the first number in each pair).

The range is the set of all y coordinates (the second number in each pair).

Domain:  {-17, -10, 0, 3}

Range: {18, -15, 0, -1}

A cube of side length s sits inside a sphere of radius r so that the vertices of the cube sit on the sphere. Find the ratio r : s

Answers

Answer:

r : s is √3 : 2

Step-by-step explanation:

The given parameter are;

A cube is inscribed in a sphere

The side length of the cube = s

The radius of the sphere = r

The ratio r : e = Required

It is noted that for a cube inscribed in a sphere, we have;

The diameter of the sphere = The diagonal of the cube

The diameter of the sphere, D = 2 × The radius = 2·r

The square of the diagonal of the cube, d² = s² + s² + s² = 3·s²

∴ The diagonal of the cube, d = (√3)·s

From the relationship between the cube and the sphere in which it is inscribed, (The diameter of the sphere = The diagonal of the cube), we have;

2·r = (√3)·s

∴ r/s = (√3)/2

r : s = √3 : 2.

Other Questions
what is 5(2x - 2y) - (4x + 3y) Please help!!!!!!!!!! Ashish is 175 cm tall his sister Annu is 8% shorter than him what is Annu's heightpls help Jason can peel 15 potatoes in 25 minutes. Janette can peel 8 potatoes in 1/10 hour. If they start peeling at the same time how manyminutes will it take them to peel 406 potatoes? Find the length of the arc.A. 21/4 inB. 18 inC. 45/8 inD. 1890 in Can you answer Chemistry means in wide? PLZ ANSWER QUESTION IN PICTURE On a recent math test. Samantha scored 3 points for each of the 18 multiple choice que non seanswered correctly and 5 points for each of the 6 short response questions she answered correctlyShe scored an additional 4 points for the bonus question. Write an expression for her total score onthe test and then find her score. From a chemical view, how is an amino acid is being recognized by its specific aminoacyl tRNA synthetase? A number added by 7 is the same as thatnumber times four minus eleven.Translate into an equation What are the strongest three arguments that support Kaepernicks decision to kneel during the national anthem? A 63 kg kg person starts traveling from rest down a waterslide 6.0 mm above the ground. At the bottom of the waterslide, it then curves upwards by 1.0 mm above the ground such that the person is consequently launched into the air. Ignoring friction, how fast is the person moving upon leaving the waterslide In the figure, find the measure of TU A simple random sample of 400 individuals provides 112 Yes responses. (a) What is the point estimate of the proportion of the population that would provide Yes responses what charge does an atom that has gained electrons have? You are the IT Administrator for the CorpNet.local domain. You are in the process of implementing a group strategy for your network. You have decided to create global groups as shadow groups for specific departments in your organization. Each global group will contain all users in the corresponding department. In this lab, your task is to: Create the following global security groups on the CorpDC server in their corresponding OUs: OU Creation Location New Group Name Accounting Accounting Research-Dev Research-Dev Sales Sales A local cinema reduced its ticket prices by 15% which means a ticket now costs 10.88. how much was a ticket before the reduction? An object moving with a constantacceleration changes its velocity from10ms' to 20 ms' in five seconds. What is thedistance travelled in five seconds Given h(x) = -x + 1, find h(0).Answer: Mention the ways to maintain social harmony?