find the area of the shaded portion the one who answer first will get brainliest

Find The Area Of The Shaded Portion The One Who Answer First Will Get Brainliest

Answers

Answer 1

Answer:

≈ 77 cm²

Step-by-step explanation:

The area of the shaded portion is calculated as

area of outer sector - area of inner sector

= (πR² - π r²) × [tex]\frac{60}{360}[/tex] ( R is the outer radius, r is the inner radius )

= (π × 14² - π × 7² ) × [tex]\frac{1}{6}[/tex]

= (196π - 49π ) ÷ 6

= 147π ÷ 6

≈ 77 cm² ( nearest whole number )

Answer 2

Answer:

[tex]A_s=76.97\ cm^2[/tex]

Step-by-step explanation:

Circular Sector

It's the portion of a circle enclosed by two radii and an arc. The area of a sector is calculated as follows:

[tex]\displaystyle A=\frac {r^{2}\theta }{2}[/tex]

Where r is the radius and θ is the central angle expressed in radians. The central angle will be converted to radians:

[tex]\theta=60*\frac{\pi}{180}=1.0472\ rad[/tex]

The shaded region in the figure can be obtained by subtracting the smaller sector A2 area from the larger sector area A1:

[tex]A_s=A_1-A_2[/tex]

The larger area is calculated with a radius of r1=14 cm:

[tex]\displaystyle A_1=\frac {14^{2}*1.0472 }{2}[/tex]

[tex]\displaystyle A_1=102.626\ cm^2[/tex]

The smaller area is calculated with r2=7 cm:

[tex]\displaystyle A_2=\frac {7^{2}*1.0472 }{2}[/tex]

[tex]\displaystyle A_2=25.656\ cm^2[/tex]

The shaded area is:

[tex]A_s=102.626\ cm^2-25.656\ cm^2[/tex]

[tex]\boxed{A_s=76.97\ cm^2}[/tex]


Related Questions

A line passes through the point (6,-1) and is perpendicular to the line with equation - 2x + 3y = -6.
Which is the equation of the line?

Answers

Answer: y = − 3/2 x + 8

Step-by-step explanation:

Find the Perpendicular Line

Solve −2x + 3y = −6.

y = −2 + 2x/3

Find the slope when y = −2 + 2x/3 .

m = 2/3  

The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

[tex]m[/tex] perpendicular = [tex]-\frac{1}{\frac{2}{3} }[/tex]

Simplify to find the slope of the perpendicular line.

perpendicular = −3/2

Find the equation of the perpendicular line using the point-slope formula.

y + 1 = − 3/2

⋅ (x − 6)

Write in y = mx + b form.  

y = − 3/2 x + 8

PLSS PLS HELP ITS DUE SOON IM DESPERATE

Answers

Answer:

The answer is A

Step-by-step explanation:

Use the form y = mx + b for your answer.  Since 32 is the starting point, it will represent b.  b represents the y intercept.  Since the temperature decreases every hour, the second part of the equation would -2h.  So, if you put it together, the final equation is y = -2h + 32.

Andre is choosing an outfit from 2 pants, 2 shirts, and 2 pairs of shoes. Pants Shirts Shoes Jeans Polo Sneakers Black pants T-shirt Flip-flops How many possible combinations are there? There are possible combinations.

Answers

Answer:

8 Possible Combinations

Step-by-step explanation:

Trust me my guy

Answer:

8

Step-by-step explanation:

i need help btw i am in middle school

Answers

Answer:

x≤16

Step-by-step explanation:

Answer:

x=16

Step-by-step explanation:

2x-4<28

add 4

2x=<32

divide by 2

32 is greater than or equal to 16

Solve the System of Equations -4x + 9y = 14 12x - 10y = - 8

Answers

Answer:

(1, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-4x + 9y = 14

12x - 10y = -8

Step 2: Rewrite Systems

-4x + 9y = 14

Multiply everything by 3:                    -12x + 27y = 42

Step 3: Redefine Systems

-12x + 27y = 42

12x - 10y = -8

Step 4: Solve for y

Elimination

Combine 2 equations:                    17y = 34Divide 26 on both sides:                y = 2

Step 5: Solve for x

Define equation:                    12x - 10y = -8Substitute in y:                       12x - 10(2) = -8Multiply:                                  12x - 20 = -8Isolate x term:                        12x = 12Isolate x:                                 x = 1

Step-by-step explanation:

HERE,

two equation are,

●-4x+9y=14••••••••••••(equation I)

●12x-10y=-8•••••••••••(equation II)

First multiplying 3 in equation I

we get,

[tex]\bold{3×(-4x+9y=14) }[/tex]

=[tex]\bold{ -12x+27y=42 }[/tex]••(equation III)

Then,

we combine the equationii and equation III.

we get that,

[tex]\bold{12x-10y-12x+27y=-8+42 }[/tex]

[tex]\bold{\cancel{12x}-10y\cancel{-12x}+27y=-8+42 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{17y=34 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ y=\dfrac{34}{17} }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\boxed{ y=2 }[/tex]

Then,

put the value of y in equation II.

WE get,

[tex]\rightsquigarrow[/tex] [tex]\bold{12x-10×2=-8 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x-20=-8 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=-8+20 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=12 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ x=\dfrac{12}{12} }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\boxed{ x=1 }[/tex]

So,

solution of the two equation (-4x+9y) and (12x-10y=-8) is (1,2)

Somebody pls pls help me with this I’ll mark u brainliest

Answers

Answer:

Step-by-step explanation:

The angle of a line is 180 degrees. A right angle is 90 degrees, and the given angle is 55 degrees. All you have to do is add 90 and 55, and subtract that sum from 180.

please solve the given equation ​

Answers

Answer:

noooooooooooooo to show and see

Ummmmm no thank youu

help me plz plz will mark branliest

Answers

Step-by-step explanation:

On the first question, you would want to put the equation together. To find x you will put 2x+6=40. Subtract 6 on both sides and you will find your x value.

The difference of two number is 3. Their sum is 13. Write and alive a system of equations to help find the numbers

Answers

The numbers are 8 and 5.
8+5=13
8-5=3

PLEASE I REALLY NEED HELP DONT SAY RANDOM STUFF

Answers

Answer:

c.180

Step-by-step explanation:

45 times 4= 180

Step by step explanation

Answers

Answer: x = 4

Step-by-step explanation:

   x/2=10/5

Multiply both sides of the equation by 2.

2⋅  x/2 = 10 /5 ⋅ 2

Simplify both sides of the equation.

Cancel the common factor of 2.

Rewrite the expression.

x= 2 ⋅ 10/5

Divide 10 by 5.

x= 2 ⋅ 10/5

Multiply 2 by 2.

x = 2 ⋅ 2

x = 4

please give brainiest :)

Yo ill give 40 points to whoever answers this

(2,8)
(4,2,)
(6,-4)
(9,-13)
Find the slope.

Answers

Answer:

-3

Step-by-step explanation:

The slope can be defined as the change in y over the change in x

we can break this down even more by doing the y of the second point minus the y of the first point over x of the second point minus the y of the first point

so [tex]\frac{2-8}{4-2}[/tex] = [tex]\frac{-6}{2}[/tex] = -3 so the slope is -3

we can check this by graphing it and we will see that we get y= -3x+14 for an equation that runs through all the points.

The grocery store is having a deal on two types of
apples. Fuji apples are $6 for 4 apples. Gala apples are
$8 for 5 apples. Find the price per apple for Fuji apples
and Gala apples. Which deal is better?

Answers

Answer:

Fugi=$1.50 per apple, Gala=$1.60 per apple. Fugi are cheaper

Answer:

Fuji apples are better because they only cost $1.50

A number h added to -3 is at most 3.4

Answers

As an expression h+-3=3.4
As an equation 6.4+-3=3.4

There are 13 apples in a basket. 5 of these apples are green. The rest of them are red.


(a) What is the ratio of all apples in the basket to red apples?

(b) What is the ratio of red apples to green apples?

Answers

Answer:

A) 13:8

b) 8:5

Step-by-step explanation:

In this question, we will be making ratios.

Ratios are represented as a:b whereas "a" and "b" represent the different scenarios.

(a) What is the ratio of all apples in the basket to red apples?

In this question, we need to make ratio with total apples and red apples.

We will write the ratio in respective order, or from left to right in the statement.

We know that our total amount of apples is 13, so that would go on the left side of the ratio.

We need to find the amount of red apples in the basket. We already have 5 green apples, so subtract 5 from 13.

13 - 5 = 8

We have 8 red apples, so that would go on the right side of the ratio.

Your ratio should be:

13:8

(b) What is the ratio of red apples to green apples?

In this question, we have to make a ratio of red apples to green apples.

We know that there are 8 red apples, we also know that there's 5 green apples.

With this information, we can make our ratio:

8:5

The speed limit on a road drops down to 15 miles per hour around a curve. Mr. Gerard slows down by 10 miles per hour as he drives around the curve. He never drives above the speed limit. At what speed (s) was Mr. Gerard driving before the curve? Write and solve an inequality

Answers

Answer Mr. Gerard speed was at most 25 miles per hour before the curve

Step-by-step explanation:

How to solve the speed Mr. Gerard was driving before the curve

Let’s just assume that Gerard went exactly the speed limit 15 miles per hour (mph) after when he slowed down by 10 miles per hour and drove around the curve. The reason why I’m using exactly 15mph is because it’s the max speed he can go. He can go 15 miles per hour and still be safe, but it’s just that he can’t go any faster than that.

Now, you can do 15 + 10 to find the speed he went before he drove around the curve. So, that would be 25mph before he drove around the curve.

You might be asking: What if he went slower than 25mph before he drove around the curve, and what if he went faster than 25mph?

-When he drives exactly 25mph and slows down by 10mph when he makes the turn around the curve, he’s going exactly 15mph which it safe for him because it’s not faster than 15mph.

-It could be possible that he went slower than 25mph before he drove around the curve, but he still will be safe because when he makes the turn around the curve and slows down by 10 miles per hour, now he’ll reach below 15 miles per hour which is even safer for him. Here’s an example for you to understand: Let’s say he drove 23mph before the curve (which is less than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 13mph, which is less than the speed limit 15mph. You can take any number less than 25mph and he’ll still be safe because it will be less than 15mph.

-Now, if he went faster than 25mph, he wouldn’t be safe anymore because after when he slows down by 10mph and goes around the curve, he’ll be above the speed limit of 15mph. Here’s an example for you to understand: Let’s say he drove 27mph before the curve (which is faster than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 17mph, which is faster than the speed limit 15mph.

Answer: Mr. Gerard speed was at most 25 miles per hour before the curve

Graphing it

A way to graph this is to write out a compound inequality. You can write it as:

0 < y ≤ 25  ⇒ Where any speed has to be less than or equal to 25 miles per hour, because 25 miles per hour is the most/biggest speed Mr. Gerard can drive. But it has to be greater than 0 because you can’t go negative miles per hour, or 0 miles per hour

The graph is shown below ↓

I don’t know what graph you want, or how your teacher wants you to graph it. So I put two options for you :)

I hope you understand and that this helps with your question! :)

It took 4 hours to drive 240 miles. At this rate, how long does it take to drive 150 miles?

Answers

Answer:

The correct answer is 11/2.

Answer:2 hours and 30 minutes

Step-by-step explanation:

they drive 60 miles in a hour.

HELP ASAP

1.Which number or symbol is a variable in the following algebraic expression?



5 + 4y x 32



a 5

b 4

c y

d 2

2.Convert the following word phrase to an algebraic expression:

9 less than a number.



a x - 9

b 9 -x

c 9 ÷ x


d x ÷ 9

Answers

Answer: 1.C 2.B

Step-by-step explanation:

If the original quantity is 14 and the new quantity is 22, which of these is the best estimate for the percent of change?
A 25% increase
B 100% increase
C 75% increase
D 50% increase

Answers

d 22-14=8 14-7=7 7 of 14=50% so i think that’s the best estimate

estimate and find the quotion in 281 divided by 9

Answers

300 divided by 10
Answer is 30

Corey bought 2 1/2 liters of paint for$60

Answers

Corey got scammed and should return that paint
He got scammed he need sell dat paint and get his money back

PLZ I NEED HELP!!A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building?
A. 24
B. 21
C. 27
D. 32

Answers

Answer:

D. 32 feet

Step-by-step explanation:

A tree is 12 feet tall and casts a 9-foot shadow.

The shadow is 3/4 the length of the tree (9/12 = 3/4).

We know the shadow of a nearby building is 24 feet long.

That would be 3/4 of the height of the building.

So, fidn the reciprocal of 3/4 (4/3) and multiply by 24.

24/1 * 4/3

Cross-cancellation

8/1 * 4/1

8 * 4

The building is 32 feet tall, which is D.

What fraction goes in the box to make it correct?
4/11×_=1​

Answers

Step-by-step explanation:

[tex] \frac{11}{4} [/tex]

[tex] \frac{4}{11} \times \frac{11}{4} = \frac{44}{44} = 1[/tex]

if it's helpful ❤❤❤

THANK YOU.

Question 2
5x + 2y = 4
9x + 2y = 12

Answers

Answer:

x-intercept(s):  ( 4 3 , 0 ) y-intercept(s):  ( 0 , 6 )

Step-by-step explanation:

Step-by-step explanation:

5x+2y =4

5x= 4-2y

x= 4-2y/5

Describe the possible lengths of the third side of the triangle if the lengths of the other two sides are 11 feet and 18 feet.

Answers

Answer: [tex]6ft < x < 30ft[/tex]

6ft is less then x and x is less then 30ft

Step-by-step explanation:

The possible length of the third side is 7 < x < 29.

What is a Triangle?

Polygon which has three sides and three vertices are called a triangle.

The sum of all the angles of the triangle is 180°.

Given:

The lengths of the other two sides of a triangle are 11 feet and 18 feet.

Let the third side's length is x feet.

The sum of the two sides of the triangle is always greater than the length of the third side of the triangle.

That means,

18 + 11 > x.

And 11 + x > 18.

So, we have a possible choice,

11 + 18 < x

Simplifying,

29 < x.

Arranging in better terms,

x > 29.

Another possible choice,

18 -11 < x

7 < x

Combining both inequalities,

we get,

7 < x < 29.

Therefore, 7 < x < 29.

To learn more about the triangle;

https://brainly.com/question/2773823

#SPJ2

8g+7+3g+12 can be written as?​

Answers

Answer:

11g + 19

Hope this helps

Step-by-step explanation:

Answer:

It can be also written as  11g+19.

Step-by-step explanation:

First, you would add the numbers with the 'g'

11g+7+12

then you would add the regular numbers.

11g+19

Write the function for the graph.

Answers

Answer:

the answer is B

Step-by-step explanation:

Jason makes a fruit salad using only strawberries and blue berries. The ratio of strawberries to blueberries in Jason's fruit salad is 4 cups to 5 cups

Answers

Complete question :

Jason makes a fruit salad using only strawberries and blueberries. The ratio of strawberries to blueberries in Jason's fruit salad is 4 cups to 5 cups.

Options is in the attached picture

Which statement describes the contents of Jason's fruit salad?

Answer:

Blueberry makes up 5/9 of the fruit salad

Step-by-step explanation:

Ratio of strawberries to blue berries is 4cups to 5 cups

Hence, in a fruit salad makeup ;

We can say we have 4 cups of strawberry for every 5 cups of blue berry

Fraction of strawberry and blueberries :

Total ratio = (4 + 5) = 9

Fraction of strawberry = 4/ 9

Fraction of blueberry = 5/9

Hence, from the option  , the statement ;

Blueberry makes up 5/9 of the fruit salad is true since both are the only ingredients used

PLZ HELP

What is the inverse of the function f(x) = x +3?

O h(x)=1/3x+3

O h(x)=1/3x-3

O h(x)=x-3

O h(x)=x+3

Answers

The correct answer is the third one: h(x)=x-3

The distance between Dallas, TX and Houston, TX is 384 kilometers. There are approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between these two cities?

Answers

238.6 miles between dallas and houston
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