If 2.85 is written as an improper fraction, what is
the numerator?

We are given with a equation of Circle and we need to find it's radius and it's equation in standard form . But , let's recall , the standard equation of a circle is [tex]{\bf (x-h)^{2}+(y-k)^{2}=r^{2}}[/tex] where (h,k) is the centre of the circle and radius is r . Proceeding further ;

[tex]{:\implies \quad \sf x^{2}+12y+22x+y^{2}-167=0}[/tex]

Collecting x terms , y terms and transposing the constant to RHS ;

[tex]{:\implies \quad \sf (x^{2}+22x)+(y^{2}+12y)=167}[/tex]

Now , as in standard equation their is a whole square , so we need to develop a whole square in LHS , for which we will use completing the square method , as coefficient of x² and y² is 1 , so adding 121 and 36 to LHS and RHS .

[tex]{:\implies \quad \sf (x^{2}+22x+121)+(y^{2}+12y+36)=167+121+36}[/tex]

[tex]{:\implies \quad \sf (x+11)^{2}+(y+6)^{2}=324\quad \qquad \{\because a^{2}+2ab+b^{2}=(a+b)^{2}\}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{\{x-(-11)\}^{2}+\{y-(-6)\}^{2}=(18)^{2}}}}[/tex]

On comparing this with the standard equation , we got our centre at (-11,-6) and radius is 18 units

Answer:

1. Lucky Buy

2. 3/5

Step-by-step explanation:

1. .96/4=.24

1.32/6=.22

2. take the 3 and put it over time like always x/time=3/5

Answer:

Step-by-step explanation:

Simplify 1/3(9y-3) - 2y as : 3y - 1 - 2y = y - 1

Expression 1 : 3y - 1 - 2y, can be simplified as y-1 => Equivalent
Expression 2 : 3y + 3 - 2y = y + 3 => Not equivalent
Expression 3 : y - 1 => Equivalent
Expression 4 : 1/3(9y) + 1/3(-3) - 2y = 3y - 1 - 2y = y-1 => Equivalent

So, the answer is the second expression.

Answer:2/2/5

Step-by-step explanation:
If 3/4 = 9/5
what about 4/4
You get the answer as 12/5 which is 2/2/5

Hope this helped


a whole is always fraction wise "1", whether is 5/5 or 4/4 or 1,000,000/1,000,000 it'd round up to "1", just 1 whole.

we know how much 3/4 of his land is, so the "whole land" will be in quarters, 4/4 or namely "1".

let's firstly convert the mixed fraction to improper fraction and then proceed.

[tex]\stackrel{mixed}{1\frac{4}{5}}\implies \cfrac{1\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{9}{5}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} acres&whole\\ \cline{1-2} \frac{9}{5}&\frac{3}{4}\\[1em] x&\frac{4}{4} \end{array}\implies \cfrac{~~\frac{9}{5} ~~}{x}=\cfrac{~~ \frac{3}{4}~~}{\frac{4}{4}}\implies \cfrac{~~\frac{9}{5} ~~}{\frac{x}{1}}=\cfrac{~~ \frac{3}{4}~~}{1}\implies \cfrac{9}{5}\cdot \cfrac{1}{x}=\cfrac{3}{4}[/tex]

[tex]\cfrac{9}{5x}=\cfrac{3}{4}\implies 36=15x\implies \cfrac{36}{15}=x\implies \cfrac{12}{5}=x\implies 2\frac{2}{5}=x[/tex]

The statement true about the function is the vertex is a maximum.

A quadratic function has the formula [tex]\rm f(x) = ax^2 + bx+ c[/tex], where a, b, and c are integers with an a that is not equal to zero.

Given

The value of a function in the form [tex]\rm f(x) = ax^2 + bx+ c[/tex] is negative.

As the function is negative then the following is true:

[tex]\rm a < 1[/tex]

When the leading coefficient is less than one then:

Hence, the statement true about the function is the vertex is a maximum.

To know more about parabolas click the link given below.

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Answer:

11. A. [tex]\frac{12}{13}[/tex]

12. D. [tex]\frac{35}{12}[/tex]

Step-by-step explanation:

11: Sin is just the side opposite of the angle divided by the hypotenuse of the triangle

Opposite of A = 36

Hypotenuse of the triangle = 39

36/39 = [tex]\frac{12}{13}[/tex]

12. Tan is the side opposite of the angle divided by the side adjacent to the angle

Opposite of C = 35

Adjacent to C = 12

35/12 = [tex]\frac{35}{12}[/tex]

Hope this helps!

Answer:

Can you pls give me a brainlies I am new pls.

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Ⲁⲛ⳽ⲱⲉⲅ :

We are given that:

Some assumptions:

Using Formula:

➙ V = l × b × h

➙ V = x × 3x × h

➙ 240 = 3x² × h ‎ㅤ‎ㅤ⸻ ( 1 )

Now, the cost of plastering it's 4 walls is Rs 8000 at the rate of 50 /m². So, we can find the area of the walls of the room by dividing 8000 by 50 i.e:

➙ A = Total cost / cost per m²

➙ 8000 / 50

➙ 800 / 5

➙ 160m²

In a cuboid , there are a pair of two opposite and equal rectangular sides, and area of rectangle is given by :

So, area of 2 walls along length :

➙ 2 × length × height

➙ 2 × 3x × h

➙ 6xh

Area of 2 walls along breadth:

➙ 2 × breadth × height

➙ 2 × x × h

➙ 2xh

Sum of areas of these four walls will be equal to the area of the walls, that we have find earlier;

➙ ( 6xh ) + ( 2xh ) = 160

➙ 8xh = 160

➙ xh = 160 / 8

➙ xh = 20 ‎ㅤ‎ㅤ‎ㅤ⸻ ( 2 )

➙ 240 = 3x²h

➙ x²h = 240 / 3

➙ x × xh = 80

➙ x × 20 = 80 ‎ㅤ‎[ from equation ( 2 ) ]

➙ x = 80 / 20

➙ x = 4

➙ xh = 20

➙ 4 × h = 20

➙ h = 20 / 4

➙ h = 5

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~Hence, the height of the room is 5m.

If the coordimate is reflected over y = -2, hence the resulting coordinate wil be A = (4, -2), B = (2, 3), C = (-6, 2) and D = (2, 2)

Given the coordinate of the quadrilateral shown below

A = (-2, -2)

B = (-1, 3)

C = (3, 2

D = (-1, 2)

Reflecting the coordinates over the y - axis will give:

A = (2, -2)

B = (1, 3)

C = (-3, 2)

D = (1, 2)

If the coordimate is reflected over y = -2, hence the resulting coordinate wil be:

A = (4, -2)

B = (2, 3)

C = (-6, 2)

D = (2, 2)

Learn more on reflection here: https://brainly.com/question/1908648

easy peasy here we go..

so first circumference = 2π R

now it is given that circumference - 30 cm = Diameter;

Diameter = 2πR - 30 = 2 R { diameter = 2 times Radius}

now solving equations:

2πR -2R = 30

πR - R = 15

R ( π - 1 ) = 15

R ( 22/7 - 1) = 15

R ( 15/7 ) = 15

R = 15 x 7 / 15

R = 7 cm

Mark as brainliest

Answer:

7.01 cm

Step-by-step explanation:

Circumference = 2πr

=> d + 30 = 2πr

=> 2r + 30 = 2πr

=> 2r(π - 1) = 30

=> 2.14r = 15

=> r = 15/2.14

=> r = 7.01 cm

Answer:

10.

Step-by-step explanation:

Since 60 is the profit you need to make, you plug in 60 into P(x). So, you get the equation 60=0.3[tex]x^{2}[/tex]+7x-40. The answer to this equation is 10. I think this is the correct answer.

Answer:

80

Step-by-step explanation:

4+1 = 5 This is the total amount of shares

100÷5 = 20 This is how much is in 1 share

So 4 shares, which is how many shares Sangeeta receives, is:

4×20=80

So 80 is the amount Sangeeta gets

[tex]4x+x=100[/tex]

[tex]5x=100[/tex]

[tex]x= \frac{100}{5}[/tex]

[tex]x=20[/tex]

[tex]4×20=80[/tex]

Sangeetha gets 80

Answer:

f(4)=-4

Step-by-step explanation:

hello : this an solution

Answer:

  4.  If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

Step-by-step explanation:

Facts about equiangular/equilateral triangles have little bearing on isosceles triangles.

The one relevant fact from the given list is that larger angles are opposite longer sides. This requires you to conclude that equal angles are opposite equal sides, which is the conclusion of the isosceles triangle theorem.

The inequality that can be used to determine x, the minimum number of sets of forks Grayson should buy is as follows:

761 ≥ 10x + 205

Inequality equations are represented with <, >, ≤, or ≥.

Therefore,

The restaurant needs at least 761 forks . Therefore, the number of forks should be greater than or equals to 761.

He already has 205 forks.

Each sets on sale contains 10 fork.

x = minimum number of sets of forks he should buy.

Therefore, the inequality to represent the situation is as follows:

learn more on inequality here: https://brainly.com/question/24900162

Answer:

#565 is the best answer I can give you

Answer:

Option B: √117

Step-by-step explanation:

The hypotenuse of a right triangle is the longest side. In this case, since the longest side is √117 cm, then c=√117.

Answer: B) √117

The correct answer is B) √117

Step-by-step explanation:

As seen, the figure is a right triangle. The hypotenuse is the longest side of the triangle, so the correct option is B) √117. Since the longest side is √117cm, the this means that c = √117cm

Hope this helps =)

You leave a 15% tip -> The cost = 115% the actual cost without the tip.

So, the bill was $6.12 x 115% = $7.038

Answer: IT DEPENDS ON HOW MANY PEOPLE ARE SPLITTING BY BUT IF IT IS JUST 1 PERSON THEN THE TIP WOULD BE 0.92 BUT IF U WANT IT IN HOLE DOLLARS THEN YOUR TIP WOULD BE 1 DOLLAR AND 78 CENTS

Step-by-step explanation: I HOPE THIS HELPS YOU :D

By using the arc length formula, we will see that the length of the curve is L = 1.48

Here we have the curve:

y = 2 - x^2   with 0 ≤ x ≤ 1

And we want to find the length of the curve.

The arc length formula for a curve y in the interval [x₁, x₂] is given by:

[tex]L =\int\limits^{x_2}_{x_1} {\sqrt{1 + \frac{dy}{dx}^2} } } \, dx[/tex]

For our curve, we have:

dy/dx = -2x

And the interval is [0, 1]

Replacing that we get:

[tex]L =\int\limits^{1}_{0} {\sqrt{1 + (-2x)^2} } } \, dx\\\\L \int\limits^{1}_{0} {\sqrt{1 + 4x^2} } } \, dx\\[/tex]

This integral is not trivial, using a table you can see that this is equal to:

[tex]L = (\frac{Arsinh(2x)}{4} + \frac{x*\sqrt{4x^2 + 1} }{2})[/tex]

evaluated from x = 1 to x = 0, when we do that, we will get:

[tex]L = \frac{Arsinh(2) + 2*\sqrt{5} }{4} = 1.48[/tex]

That is the length of the curve.

If you want to learn more about curve length, you can read:

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Answer:

38%

Step-by-step explanation:

We know that this circle kind of look like circle that divide into 3 part

But since it a bit more we can infer that it A. 38%

We also know that 48% is about half and 62% or 68% is all the way over half.

Hence, A.38% is the best answer.

[RevyBreeze]

Answer:

a 38%

Step-by-step explanation:

Answer:

$230

Step-by-step explanation:

Hes paid 200 for his wages but if he works overtime by 12 hours he gets half of the 5 dollars he earns per hour which is 2.5 which then is 2.5 times 12 which is then 30 plus the 200 he earned for the 40 hours.

Answer:

first calculate the lenght of a triangle with the distance formula

The extraneous solution of the logarithmic problem [tex]\rm log_3(18x^3)-log_3(2x) = log_3 144[/tex] is -4.

A log function is a way to find how much a number must be raised in order to get the desired number.

[tex]a^c =b[/tex]

can be written as

[tex]\rm{log_ab=c[/tex]

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Solving the function using the basic logarithmic value, we get,

[tex]\rm log_3(18x^3)-log_3(2x) = log_3 144\\\\ log_3\dfrac{(18x^3)}{(2x)} = log_3 144\\\\ log_3(9x^2)= log_3 144\\\\\text{Taking antilog}\\9x^2 = 144\\x = \sqrt{\dfrac{144}{9}}[/tex]

If we solve further we will get that the value of x can be either -4 or 4, if take the value of x as -4, in the beginning then you will get log₃(18(-4)³) as the log of negative value which is impossible.

Hence, x=-4 is an extraneous solution.

Learn more about Logarithms:

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Answer:

x = negative 4

Step-by-step explanation:

The comment and answer above is correct.

Answer:

Step-by-step explanation:

a) To find the length of diagonal XT, we can use the distance formula to get [tex]\sqrt{(-3-5)^{2}+(4-(-2))^{2}}=10[/tex]

Since this is a rectangle, XT=YW, meaning YW=10 as well.

b) The area of a rectangle is given by length times width. The length is |-3-5|=8, and the width is |-2-4|=6. So the area is (8)(6)=48.

c) The perimeter is just 2(8+6)=28.

24*3=72

72*3=216

3*2=6

216+6=222

the answer is 222