An equilateral triangle is inscribed in a circle of radius 2r. express the area a within the circle but outside the triangle as a function of the length 3x of the side of the triangle.

Answers

Answer 1

The expression for the area within the circle but outside the triangle as a function of the length 3x of the side of the triangle is [tex]\frac{88r^2}{7}-\frac{9\sqrt{3} }{2}x^2[/tex].

It is given that:-

Radius of circle = 2r

Length of side of equilateral triangle = 3x

We have to find the expression for the area within the circle but outside the triangle as a function of the length 3x of the side of the triangle.

We know that,

Area of circle = [tex]\pi R^2[/tex]

Where R is the radius of the circle.

We have R = 2r

Area of an equilateral triangle = [tex]\frac{\sqrt{3} }{2}a^2[/tex]

Where, a is the length of side of equilateral triangle.

a = 3x

Hence,

Expression = [tex]\pi R^2-\frac{\sqrt{3} }{2}a^2[/tex]

Expression = [tex]\frac{22}{7}*(2r)^2-\frac{\sqrt{3} }{2}*(3x)^2 = \frac{88r^2}{7}-\frac{9\sqrt{3} }{2}x^2[/tex].

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Related Questions

Need help!!
√18 is between _____.

4.5 and 4.6
8.9 and 9.1
4.2 and 4.3
3.1 and 3.2


Which of the following is equivalent to √52?
4√13
13√2
2√13
13√4

thank you ! :)

Answers

Answer:

√18 is between 4.2 and 4.3

√52 is equivalent to 2√13

......

want this q's answers according to the absolute value

Answers

Answer:

24; 0

Step-by-step explanation:

Absolute value means number of the value away from zero, either positive or negative.  So the absolute value of -24 (for example) is 24 because it is 24 integers away from zero.

which of the following expressions has a coefficient of 10 and a constact of 5

Answers

Answer:

2

Step-by-step explanation:

The ages of three friends are represented by three consecutive odd integers. If the youngest of
the three is represented by m, express the sum of the ages of the three friends.

Answers

Key IdeasAdding algebraic expressions

Solving the Question

We're given:

m is the smallest age.

This means that the consecutive odd integers will be m + 2 and m + 4.

If we add all their ages, it will look like this:

[tex]m+(m+2)+(m+4)\\= m+m+2+m+4\\= 3m+2+4\\= 3m+6[/tex]

Answer

[tex]3m+6[/tex]

What does the y-coordinate have to be for a point to be on the x-axis?​

Answers

Step-by-step explanation:

If we're talking about something like y coordinate being on the x axis, I'd have to say 0. Because it would be on the y axis no matter the coordinates of it isn't a 0. Ex : (0,0) and (0,9). (0,9) would have the point going upwards on the y axis.

POSSIBLE POINTS. 1
Construction workers are building a marble sidewalk around a park that is shaped like a right triangle. Each marble slab adds 2 feet to the length of the
sidewalk. The workers find that exactly 1071 and 1840 slabs are required to make the sidewalks along the short sides of the sidewalk that runs along the
long side of the park?

Answers

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

where

a and b are the legs

and

c is the hypotenuse

.

the problem gives the "legs" because the LONGEST leg is always the hypotenuse.

a^2 + b^2 = c^2

1071^2 + 1840^2 = c^2

1147041 + 3385600 = c^2

4532641 = c^2

how do you write 4.93 as a percentage

Answers

Answer:

493%

Step-by-step explanation:

To convert a decimal to percentage, muiltiply the decimal by 100.

Evaluate each function.
41) k(t)=t-4; Find (10)

Answers

The value of k(10) is 6.

A function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has precisely one output and the output can be linked to its input.A relationship between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.Each function has a range, co-domain, and domain. The given function is k(t).k(t) = t-4Here, the value of k(t), depends upon the value of 't'. k(t) is the dependent variable whereas 't' is the independent variable. Substitute the value of 't' by 10.k (10) = 10-4k (10) = 6

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(100) points and branlyist PLS HELP


Ryan collects rainwater in a barrel for his garden. The barrel is filled with 18 gallons of water. Ryan used 9.7 gallons to water his garden in June and 3 and one eighth gallons in July. How much water is left in the barrel?

24.575 gallons
5.175 gallons
3.168 gallons
3.125 gallons

Answers

Answer: 5.175

Step-by-step explanation: 18 - 9.7 - 3 1/8 = 5.175

help i need some answers please

Answers

Answer:

1. -3x^2 +2x -5

a= -3 b= 2 c= -5

4. 2x^2 -2x -6

a= 2 ...

Step-by-step explanation:

Standard form: Ax^2 +bx +c

Subtract numbers from one side of the equation to make it equal to zero.Or distribute until the equation is in standard form.

help
.....................

Answers

1. 4x = 36 x = 9
2. 2x = 8 x = 4
3. -4x = -16 x = 4
4. -7x = -70 x = 10
5. 7x = 7 x = 1
6. 5x = 55 x = 11
7. 6x = -6 x = -1
8. 5x = 0 x = 0
9. -2x = 8 x = -4
10. 6x = 54 x = 9
11. 3x = 30 x = 10
12. 7x = -70 x = -10

Answer:

1. x = 9

2. x = 4

3 x =

4. x = 10

5. x =

6. x = 11

7. x = -1

8.x =

9. x = -4

10. x =

11. x = 10

12.x = -10

Help me please, I don’t understand

Answers

The length of the side in Simple radical form with rational denominator=[tex]\frac{10\sqrt{3} }{3}[/tex]

Equilateral triangle:

An equilateral triangle is a triangle with all three sides of equal length, corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal. An equilateral triangle also has three equal 60 degrees angles.

Given:

the perpendicular of the triangle = 5

Let the side of the equilateral triangle = a

Solution :

Now all the side of the triangle is is equal, so that a=x

The base of an equilateral triangle is divided into 2 equal parts,  due to the perpendicular.  

Now by Pythagoras equation :

[tex]p^{2} +b^{2} =h^{2}[/tex]

[tex]5^{2} +(\frac{x}{2} )^{2} =x^{2}[/tex]

[tex]25=x^{2} -\frac{x^{2} }{4}[/tex]

[tex]25 (4)=4x^{2} -x^{2} \\100=3x^{2}[/tex]

[tex]\frac{100}{3}=x^{2} \\\\\sqrt \frac{100}{3} } =x[/tex]

[tex]\frac{10}{\sqrt{3} } =x[/tex]

Simple radical form with rational denominator :

Radical form: An expression that uses a root, such as a square root, or cube root is known as a radical notation, Therefore, [tex]3^{\frac{3}{2} }[/tex] in radical form is = √27.

Convert [tex]\frac{10}{\sqrt{3} }[/tex] into radical form with rational denominator:

[tex]\frac{10}{\sqrt{3} } =\frac{10}{\sqrt{3} } .\frac{\sqrt{3} }{\sqrt{3} } \\[/tex]

[tex]\frac{10\sqrt{3} }{3}[/tex]

The length of the side in Simple radical form with rational denominator=[tex]\frac{10\sqrt{3} }{3}[/tex]

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Mr jones pays $423.22 for his car payment and $98.30 for his car insurance every month how much is mr jones paying per month for his automotive bills

Answers

The total payment done by Mr. Jones every month as he pays $423.22 for car payment and $98.30 for car insurance every month is equal to $ 521.52.

As given,

Payment done for car every month = $423.22

Payment done for car insurance = $98.30

Total payment done by Mr. Jones every month = $ (423.22 + 98.30)

                                                                          = $521.52

Therefore, the total payment done by Mr. Jones every month as he pays $423.22 for car payments and $98.30 for car insurance every month is equal to $ 521.52.

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Please helpppp!!!!!

A tree casts a shadow that is 28 feet long. A person who is 5 feet tall casts a shadow that is 8 feet long. Using similar triangles and proportions find the height x of the tree. Show all your work.

Answers

Answer:

Step-by-step explanation:

30 feet.

(4y - 15) 7y + x = 180

Answers

4y-15 ×7y+×=180
To find the x-intercept/zero,
substitute y= 0
4×0-15 ×7×0+x=180 0+x= 180 X=180

-(16 - 5x) simplified

Answers

Answer:

5x-16

Step-by-step explanation:

-(16 - 5x)

Use distributive property to open parenthesis.

-(16 - 5x)=

=(-1*16)+(-1*-5x)=

=(-16)+(5x)=

=5x-16

Finding x.

5x-16=0

5x=16

x=3.2

Hope this helps!

Please mark as brainliest if correct!

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because 4+8=12 and 1+8=9 is kareem correct? explain how you know.

Answers

No, Kareem is not correct because the ratio of 4:1 can never be equal to the ratio of 12:9.

Here,

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.

Because 4+8=12 and 1+8=9.

We have to find that Kareem is correct or not.

What is a ratio?

Ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

Now,

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.

Calculate the ratio as;

12 / 9 = ( 3 x 4 ) / ( 3 x 3 ) = 4/3

So,

12 / 9 = 4 / 3

Hence, Kareem is incorrect because the ratio of 4:1 can never be equal to the ratio of 12:9.

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Isabella needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 4.25 hours and charged her $144
for parts. The total was $547.75. Which equation or tape diagram could be used to
represent the context if a represents the cost of labor per hour?

Answers

The equation is 547.75 = 4.25a + 144 so the tape diagram in option D is the correct answer.

What is an equation?

A mathematical equation that represents the relationship of two expressions on either side of the sign.

It has one or more variables and equal to symbol.

Example: 3x – 5 = 5

We have,

Time spent fixing the computer = 4.25 hours

Cost of parts = $144

Total cost = $547.75

Cost of labor per hour = a

Since the cost of labor per hour is 'a' cost of labor for 4.25 hours is:

= 4.25 x a

= 4.25a

We can write an equation as:

547.75 = 4.25a + 144

Thus the tape diagram in option D is the correct answer.

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4/24 = 1/? denominator=​

Answers

the denominator equals 6

8 children have to share two thirds of a watermelon equally what part of the whole watermelon would each child get

Answers

Each child would get 1/12 th part of the whole watermelon.

For given question,

8 children have to share two thirds of a watermelon equally .

This means we need to equally distribute 2/3 of whole watermelon to 8 children.

To divide 2/3 part of of a watermelon equally into 8 parts, we need to divide 2/3 by 8.

(2/3) ÷ 8

= [tex]\frac{(\frac{2}{3} )}{8}[/tex]

We know that in 8 = 8/1

So, we rewrite the denominator of above fraction as,

[tex]\frac{(\frac{2}{3} )}{8} \\\\= \frac{(\frac{2}{3} )}{(\frac{8}{1} )} \\\\=\frac{2}{3} \times \frac{1}{8} \\\\=\frac{1}{12}[/tex]

This means, each child will get 1/12 part of the whole watermelon.

Therefore, each child would get 1/12 part of the whole watermelon.

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does someone mind helping me with this? Thank you!

Answers

Answer:

[tex]{ \tt{ \angle4 + \angle3 = 180}} \\ { \boxed{ \tt{ \angle3 \equiv \angle7}}} \\ { \tt{\angle4 + 114 = 180}} \\ { \tt{\angle4 = 180 - 114}} \\ { \underline{ \tt{ \: \angle4 \: = 66 \: }}}[/tex]

help needed on this question! with show work

Answers

Answer: 5 cm

Step-by-step explanation:

We know that 3x + 2x makes up one side of the square. Recall that the formula for a square's perimeter is P = 4a. Thus:

(3x + 2x) * 4 = 100

5x * 4 = 100

20x = 100 (divide by 20)

x = 5 (cm)

Check out the attached photo

Which of the following is equivalent to −4(2x + 3y) − 6(3q + 7p)?

−8x + 12y − 18q + 42p
−8x − 12y − 18q − 42p
−8x + 3y − 18q + 7p
−24(2x + 3y − 3q + 7p)

Answers

Answer:

−8x − 12y − 18q − 42p

Step-by-step explanation:

-4 x 3y = -12y and only number 2 is correct

The solution is Option B.

The value of the equation is A = -8x - 12y - 18q - 42p

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

A = -4 ( 2x + 3y ) - 6 ( 3q + 7p )

Now , on simplifying the equation , we get

A = -4 ( 2x ) - 4 ( 3y ) - 6 ( 3q ) - 6 ( 7p )

The  value of A = -8x - 12y - 18q - 42p

Therefore , the value of A is -8x - 12y - 18q - 42p

Hence , The value of the equation is A = -8x - 12y - 18q - 42p

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guys please help me i need your help nonsense report with solution please ​

Answers

Answer:

2.1/5

3.7/5

4.7/20

Step-by-step explanation:

2.1/5

3.7/5

4.7/20

Greetings from Brasil...

A - fraction addition/subtraction with equal denominators = keep the denominator and add/subtract only the numerators

B - fraction addition/subtraction with different denominators = we have to use LCM

2)

(10/15) - (7/15) - case A

(10 - 7)/15 = 3/15

3)

(8/10) + (3/5) - we can simplify the first fraction

(8/10) + (3/5) = (4/5) + (3/5) = (4 + 3)/5 = 7/5

4)

(3/4) - (2/5) - case B

LCM 4 and 5 = 20

(3/4) - (2/5) = 7/20

[tex]\sqrt[3]{x} = 3[/tex]

Answers

Answer:

x = 27

Step-by-step explanation:

You need to cube each side.

[tex]\sqrt[3]{x} ^{3}[/tex] = [tex]3^{3}[/tex]

x = 27

Melissa bought a new dishwasher for$1,200. The manufacturer is offering a 15% rebate. How much will the dishwasher cost after the rebate?

Answers

Answer:

$1020.00

Step-by-step explanation:

15% means 15/100 divide by 100 and you get .15

.15 x 1200 gives us the rebate.  The rebate is 180.  We subtract that from 1200. 1200 -180 = 1020

Another way to think about this, is that we are taking 15% off we are leaving on 85%

.85 x 1200 = 1020

Use the two examples that you provided in question 5 to describe how those trace elements have been introduced into our diets and/or personal hygiene habits.

Answers

Peaches, beans, spinach, and pistachios are dietary sources of iron. We get iodine via seaweed, shrimp, eggs, salt, and dairy products in our diet.

What do dietary trace elements do?

Minerals known as trace elements or trace metals are minor levels of which are found in living tissues. Some of them are known to be nutritionally necessary, some might be (but the evidence is merely speculative or sparse), and the rest are regarded as nonessential.

What are trace elements give two examples?

Essential trace elements of the human body include zinc (Zn), copper (Cu), selenium (Se), chromium (Cr), cobalt (Co), iodine (I), manga- nese (Mn), and molybdenum (Mo).

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help!! struggling with geometry and work is due tmrw

Answers

Answer:

SK: 32

Step-by-step explanation:

Subtract SY - KY to find SK

45 - 13 = 32

A pet shop sold 20 rabbits for $192. some of the rabbits sold for $7 each and the rest for $11 each. how many rabbits were sold at each price?

Answers

There are 7 rabbits sold for $7 and 13 rabbits sold for $11.

Substitution method:

In the substitution method, we must substitute the value of one given variable in terms of the other given variable and find the solution.

Given,

A pet shop sold 20 rabbits for $192.

Some of the rabbits sold for $7 each and the rest for $11 each.

Here we need to find the number of rabbits sold in each case.

Let us consider x be the number of rabbits sold for $7 and y be the number of rabbits sold for $11.

We know that, the total number of rabbits sold = 20.

So, it can be written as,

=> x + y = 20

Here we have to rewritten this equation as,

=> x = 20 - y ----------------------(1)

We know that, total amount for sold rabbits = 192

So, it can be written as,

=> 7x + 11y = 192 -----------------------(2)

Apply the value of x to equation (2),

Then we get,

=> 7(20 - y) + 11y = 192

=> 140 - 7y + 11y = 192

=> 4y + 140 = 192

=> 4y = 192 - 140

=> 4y = 52

=> y = 52/4

=> y = 13.

Apply the value of y on the equation (1),

Then we get,

=> x = 20 - y

=> x = 20 - 13

=> x = 7

Therefore, there are 7 $7 rabbits and 13 $11 rabbits are sold.

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When milgram conducted his first series of experiments with a sample of 20- to 50-year-old men, he found that over 60 percent of them:____.

Answers

When Milgram conducted his first series of experiments with a sample of 20- to 50-year-old men, he found that over 60 percent of them: went all the way to 450 volts.

What is the Milgram experiment?

Milgram's experiment examined if authority affected submission. Stanley Milgram, a Yale University psychologist, carried out several obedience tests in the 1960s that produced some providing more opportunities.

Milgram discovered that more than 60% of the men in his sample of 20 to 50-year-olds who participated in his initial series of trials reached 450 volts.

As a result, when Milgram conducted his first series of experiments with a sample of 20- to 50-year-old men, he found that over 60 percent of them: went all the way to 450 volts.

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