Evaluate P(4, 2)
O 24
O 12
06

The area of the entire sector is [tex](\pi)(6^{2}) \left(\frac{60}{360} \right)=6\pi[/tex]

The area of the triangle OAB is [tex]\frac{\sqrt{3}}{4}(6^{2})=9\sqrt{3}[/tex].

So, the area of the segment is [tex]\boxed{6\pi-9\sqrt{3}}[/tex]

[tex] \sqrt{81 \: + \: 18 \sqrt{7} \: + \: 7} [/tex]

[tex] \sqrt{(9 \: + \: \sqrt{7} ) ^{2} } [/tex]

[tex] \boxed{ \bold{9 \: + \: \sqrt{7} }}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Solution:}}}}}}[/tex]

Let us take the width of the paper as base, the cut she made be hypotenuse and the paper's length be perpendicular.

Here,

Hypotenuse (H) = 87 inch

Base (B) = 60 inch

Perpendicular (P) = [To be calculated]

As, we can use Pythagoras theorem to find. So by using Pythagoras theorem :

H² = P² + B²

[tex] {87}^{2} = {P}^{2} + {60}^{2} \\ \\ \implies \: 7569 = {P}^{2} + 3600 \\ \\ \implies \: 7569 - 3600 = {P}^{2} \\ \\ \implies3969 = {P}^{2} \\ \\ \implies \: P = \sqrt{3969} \\ \\ \implies \: P = 63[/tex]

The length of the paper is 63 inches.

[tex] \boxed{ \frak \pink{BrainlyDamurai}}[/tex]

Answer:

6-2w(w+2)

Step-by-step explanation:

6-2w²+4w

6-2w(w+2)

Answer:

$43 + $6l

Step-by-step explanation:

Hello!

She spends $43 and bus several $6 laces.

We don't know how many she buys, but we know that we can represent that number using l.

That means she spends $43 + $6l.

The algebraic expression is $43 + $6l.

We can determine the price if we know the number of laces she buys. We can simply plug in the number of laces she bought, and we can plug it in for l in the equation.

Answer:

43= 6(x)

Explanation:

43 is the total,  and each of them are 6$ each. X is the variable that we don't know.

Answer:

The Archimedes Principle

Step-by-step explanation: He took the 5 kg crown and dipped it in a vessel full of water. He calculated the displaced water.

Then he took 5 kg pure gold bricks and dipped it in a vessel full of water. He then calculated the displaced water and he found that the vessel with pure gold bricks displaced more water than the vessel with the crown. This is the Archimedes principle which states that the body at rest in a fluid is acted upon by a force pushing upward called the buoyant force, which is equal to the weight of the fluid that the body displaces.

Hope it helps you:))))

Have a good day

Answer:

Archimedes Principle

Step-by-step explanation:

Archimedes used the principle of buoyancy, which states that an object immersed in a fluid experiences an upward force equal to the weight of the fluid it displaces. By applying this principle, Archimedes was able to determine the density of an object and distinguish between real gold and fake gold objects.

To solve his problem, Archimedes first measured the weight of the suspect gold object on a scale. He then filled a container with water and recorded the amount of water displaced when the object was submerged. According to the principle of buoyancy, the weight of the water displaced by the object is equal to the weight of the object itself.

Next, Archimedes compared the weight of the object to the weight of an equivalent volume of pure gold. Since the density of gold is known, he could calculate the expected weight of a genuine gold object with the same volume as the suspect object. If the weight of the suspect object matched the expected weight, it was likely made of real gold. However, if the weight was significantly different, it indicated that the object was made of a less dense material, such as a gold alloy or another metal.

By using the principle of buoyancy and comparing the weight of objects to the weight of the water they displaced, Archimedes devised a method to identify fake gold objects and ensure the integrity of the king's treasure. This principle is known as Archimedes' principle and has since become a fundamental concept in physics.

Answer:

y=1/2x+5/2

Step-by-step explanation:

The slope will not change if the line is parallel.

So start with 1/2x and plug in 1.

You will get 1/2 and you need to get a total of 6/2 to get a y of 3.

since you already have 1/2 the remanding value needed is 5/2 and once you add the two you will get 6/2 which equals a y of 3.

Comparing the two data sets shown below

Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.

Both the mean and the median can be used to describe where the “center” of a dataset is located.

So, the mean of data in 2022 is more than mean of data in 2018.

It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers.

As the variance of 2022 more than in variance in 2018.

A high variance indicates that the data points are very spread out from the mean, and from one another.

As the standard deviation of 2022 more than in standard deviation in 2018.

The high standard deviation indicates data are more spread out.

The bigger the range, the more spread out the data.

Learn more about standard deviation, variance here:

https://brainly.com/question/17084031

#SPJ1

Answer:

4/7 or 57 percent rounded up

Step-by-step explanation:

initially, you put 8/14 as a fraction then divide both the top and bottom by 2 to get 4/7 as that's the lowest you can get the number reduced.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The number of years for which James took the loan is 5.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

Amount after T years = P + SI

SI = PRT

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

James paid off the loan on his motorboat in the year 2006. He originally borrowed $6500 to buy the boat, but with simple annual interest, he discovered that he paid a total of $8775 over the life of the loan. Also, the annual interest rate is 7%. Therefore,

A = P + (PRT)

8775 = 6500 + (6500×0.07×T)

2275 = 6500×0.07×T

T = 5

Hence, the number of years for which James took the loan is 5.

Learn more about Simple Interest:

https://brainly.com/question/2793278

#SPJ1

Answer:  2001

Step-by-step explanation:

Answer:

firstly the inner brackets are simplified followed by the outer brackets, and finally the value we got from simplifying brackets is multiplied with 9

Answer:

Its C or D, I would say C tho

Step-by-step explanation:

I took the test and both A and B are wrong

Answer:

w = 10

Step-by-step explanation:

First we take the two values for the breadth of the rectangle

So:

5x - 9 = 3x + 7

now we solve this equation as follows:

5x - 3x = 9 + 7

2x = 16

x = 8

now that we have found the value for x, we can substitute it in the equation, 5x - 9,or in the equation, 3x + 7.

when we substitute x in any of these equations, we get

5(8) - 9 = 31

3(8) + 7 = 31

now that we have the value for the breadth we can form the following equation:

31 × w = 310

31w = 310

w = 310/31 = 10

Answer:

10

Step-by-step explanation:

Firstly, we find the value of X

since 5X-9 and 3X+7 are lenghts

5X-9= 3X+7

5X-3X= 7+9

2X = 16

dividing bothsides by 2

2X/2= 16/2

X = 8

Hence,

5X-9= 5(8)-9= 40-9 = 31

3X+7=3(8)+7= 24+7= 31

To find the width

Area= lenght×width

310= 31×w

31w= 310

w= 310/31

W= 10

Surface area is all the area of all sides while volume is the amount of space (a substance) occupies in a solid.

For example:

A cube has a length,breadth and height of 5cm,find:

a) surface area of the cube;

b) and the volume of the cube.

a) area of one side of the cube = 5 x 5

                                                    = 25cm²

Total surface area = 25cm x 6 (a cube has 6 sides)

                               = 150cm²

b) volume of cube = length x breadth x height

                              = 5 x 5 x 5

                              = 125cm³

Hope this helps you :]

p.s. can you mark me as the brainliest? <3

Answer:

8 + 4i

Step-by-step explanation:

according to the bi form, the solution to the expression √4+ √−4+√36 + √−4 would be 8 + 4i

The distance in metres between the towns in real life is 1600000 meters

The scale ratio is given as:

Scale = 1 cm : 200000 m

The map distance of 8cm implies that:

8 cm : Real = 1 cm: 200000 m

Express as fraction

Real/8 = 200000 m/1

Multiply both sides by 8

Real = 1600000 m

Hence, the distance in metres between the towns in real life is 1600000 meters

Read more about scale ratios at:

https://brainly.com/question/12416132

#SPJ1

Answer:

[tex]4x^3+7x^2+5x+2[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=4x^2+5x-3[/tex]

[tex]g(x)=4x^3+3x^2+5[/tex]

[tex]\begin{aligned}\implies (f+g)(x)=f(x)+g(x) & = (4x^2+5x-3) + (4x^3+3x^2+5) \\& = 4x^2+5x-3+4x^3+3x^2+5 \\& = 4x^3+4x^2+3x^2+5x-3+5 \\& = 4x^3+7x^2+5x+2 \\\end{aligned}[/tex]

Decomposition in factors of 50: 2 · 5².

[tex]\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0 ,\:b\ge 0[/tex]

[tex]\sqrt{2\cdot \:5^2}=\sqrt{2}\sqrt{5^2}[/tex]

[tex]\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{a^2}=a,\:\quad \:a\ge 0[/tex]

[tex]\sqrt{5^2}=5[/tex]

[tex]=\sqrt{2}\cdot \:5[/tex]

[tex]\bf{=5\sqrt{2} \ === > \ Answer }[/tex]

Option C

↓

[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{MyHeritage} \end{gathered}$}}}[/tex]

To solve this problem, let's simply find the difference in the distance between the two locations.

To express this integer, we need to define the locations with variables and then calculate the difference.

The difference between the two location can be written as

[tex]Pilot - Nashville = B - A = 39000 - 595 = 38405ft[/tex]

The two integers that represent this scenario are 595 and 39000 respectively.

Learn more on integers here;

https://brainly.com/question/14453211

#SPJ1

Answer:

x = 3

Step-by-step explanation:

Setup a proportion

[tex]\frac{CB}{CA} =\frac{DB}{DA} \\\frac{4}{3} =\frac{x}{2.25} \\3x=9\\\frac{3x}{3} =\frac{9}{3} \\x=3[/tex]

By evaluating the piecewise function, we get:

g(-2) = 0.

g(4) = 4.

A piecewise function is a function that behaves differently in different parts of its domain.

Here, we first want to get g(-2). x = -2 belongs to the second domain, then we use that part:

g(-2) = 0.

For x = 4, it belongs to the third domain, then we have:

g(4) = 4.

If you want to learn more about piecewise functions:

https://brainly.com/question/3628123

#SPJ1

The original price of the car before 4 years will be $23,032.

Consider the function:

y = P (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, P = original amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %

A Naomi's car exponentially depreciates at a rate of 8% per year.

If Nina bought the car when it was 4 years old for $16,500.

Then the original price will be

16500 = P(0.92)⁴

16500 = 0.716P

       P = $ 23,032

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ1

The probability that a student who does not have a dog has a cat is 7/10.

Probability determines the chances that a random event would happen. The odds that the random event would happen lies between 0 and 1.

The probability that a student who does not have a dog has a cat = number of students that do not have a dog but has a cat / total number of students that do not own a dog

=  7/10.

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

The scale factor of the dilation of line segment BA is 1/5.

An equation is an expression that shows the relationship between two or more numbers and variables.

Dilation is the increase or decrease in the size of a figure.

From the diagram:

scale factor of BA = AC / CA' = 4 / (4 + 16) = 1/5

The scale factor of the dilation of line segment BA is 1/5.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

B

Step-by-step explanation:

I do believe

The value of cos 45 in a right angle triangle is 1/√2.

The trigonometry ratios are ratios that can be used to determine the side and angles of a triangle depending on the known parameter. The basic trigonometry ratios are denoted by the acronym: SOH CAH TOA

i.e.

From the given diagram, we are to find the Cos 45°

i.e.

θ = 45°

Let's recall the angle 45 45 90 theorem that states that right angles have the following values for the sides:

Since

Cos θ = adj/hyp

Cos 45 = 1/√2

Learn more about trigonometry functions here:

https://brainly.com/question/24349828

#SPJ1

Answer:

3.678 Kilograms

Answer:

3678/1000

=3.678kg

the answer is 3.678kg