A circular room has a floor of diameter 590cm. Estimate the 92.2 perimeter of the room in metres​

Answer: 2/23

Step-by-step explanation: Absolute value is a term which is used to indicate the distance of a point or number from the origin of a number line or coordinate system.

Suppose x is a real number. Then the absolute value of x is defined as follows:

For x = 0 or x > 0, | x | = x

For x < 0, | x | = - x

Now, we have to find the absolute value of the given number  that means we have to find the distance of   from the origin of a number line.

Distance of  from the origin is  . As distance can never be negative.

Therefore, the absolute value of  is 2/23 .

Answer:

Step-by-step explanation:

3x + 2y - z = 8

-3x + 4y + 5z = -14

6y + 4z = -6

3x + 2y - z = 8

-3x + 9y - 12z = 42

11y - 13z = 50

6y + 4z = -6

66y  - 78z = 300

-66y - 44z =  66

-122z = 366

z = -3

3x + 2y + 3 = 8

3x + 2y = 5

-3x + 4y -15 = -14

-3x + 4y = 1

3x + 2y = 5

-3x + 4y = 1

6y = 6

y = 1

3x + 2 + 3 = 8

3x + 5 = 8

3x = 3

x = 1

x=1, y = 1, z = -3

Answer:

The domain = 1, 3, 5, 7 and the range = 5, 15, 25, and 35

Step-by-step explanation:

The given parameters are;

The life expectancy of a monkey = 15 years

The life expectancy of an African elephant = 35 years

The life expectancy of a beaver = 5 years

The life expectancy of a grizzly bear = 25 years

Therefore, if the  life expectancy of a beaver = X, we have;

The life expectancy of a monkey = 3 × The life expectancy of a beaver = 3·X

The  life expectancy of a beaver = X

The life expectancy of an African elephant = 7 × The life expectancy of a beaver = 7·X

The life expectancy of a grizzly bear = 5 × The life expectancy of a beaver = 5·X

Therefore;

The domain = 1, 3, 5, 7 and the range = 5, 15, 25, and 35.

Answer:

Relation = {(Monkey, 15), (African elephant, 35), (Beaver, 5), (Grizzly bear, 25)}

Domain = {Monkey, African elephant, Beaver, Grizzly bear}

Range = {5, 15, 25, 35}

Step-by-step explanation:

Relation is just (x,y).

{(Monkey, 15), (African elephant, 35), (Beaver, 5), (Grizzly bear, 25)}  

I like to put domain as least ---> greatest, but in this case, it's just the names

{Monkey, African elephant, Beaver, Grizzly bear}

The numbers.

{5, 15, 25, 35}

Hope this helped! Please mark brainliest :)

~~ SUMMER ~~

Answer:

Buffalo

Step-by-step explanation:

The number that is father away form 0 is the coldest

Answer:

Buffalo -8

Here’s my explanation

the number line is a weird thing but its under standing here’s a semi graph

the fairest to the left is the coldest and the fairest to the right is the hottest i have out all the possible answers in bold witch on is the farest to the left

-8 -7  -6  -5  -4 -3  -2 -1  (0)  1  2  3  4  5  6  7  8  9  10

Answer:

[tex]x=\frac{-10-z}{y}[/tex]

Step-by-step explanation:

1 Subtract z from both sides.

[tex]-10-z=xy[/tex]

2 Divide both sides by y

[tex]\frac{-10-z}{y} =x[/tex]

3 Switch sides.

[tex]x=\frac{-10-z}{y}[/tex]

2nd question

Answer: [tex]j=-\frac{4}{k-h}[/tex]

Step-by-step explanation:

1 Subtract h from both sides

[tex]-\frac{4}{j} =k-h[/tex]

2 Multiply both sides by j.

[tex]-4=(k-h)j[/tex]

3 Divide both sides by k−h.

[tex]-\frac{4}{k-h}=j[/tex]

4 Switch sides.

[tex]j=-\frac{4}{k-h}[/tex]

Answer:

[tex]\huge \boxed{x= \frac{-10-z}{y} } \\\\\\\\ \huge \boxed{j=\frac{4}{h-k} }[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Solving for x:

[tex]-10=xy+z[/tex]

Subtracting z from both sides:

[tex]-10-z=xy[/tex]

Divding both sides by y:

[tex]\displaystyle \frac{-10-z}{y} =x[/tex]

Solving for j:

[tex]\displaystyle h-\frac{4}{j} =k[/tex]

Subtracting h from both sides:

[tex]\displaystyle - \frac{4}{j} =-h+k[/tex]

Multiplying both sides by j,

then dividing both sides by (-h + k):

[tex]\displaystyle - \frac{4}{-h+k} =j[/tex]

Simplifying the equation:

[tex]\displaystyle \frac{4}{-(-h+k)} =j[/tex]

[tex]\displaystyle \frac{4}{h-k} =j[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

9465 people/square mile.

Step-by-step explanation:

If there are  646,449 people in 68.3 square miles for the district of columbia, the unit rate in terms of people per square mile for the District of Columbia will be expressed as shown;

646,449 people = 68.3 square miles

x people = 1 square mile

Cross multiply

646,449 people *  1 square mile = 68.3 square miles * x people

x = 646,449 people *  1 square mile/68.3 square miles

x = 646,449/68.3 square miles

x =  9464.8463 square miles

x ≈ 9465 people/square mile.

Hence the unit rate in terms of people per square mile for the District of Columbia is approximately 9465 people.

Distributive Property.

Answer:

The possible midpoints of AB are 6.5 and 9.5

Step-by-step explanation:

Given that the coordinates of A is 8

The length of AB = 3

When A is the maximum coordinates of the two coordinates, A and B, we have;

The midpoint of AB = Coordinates of A - 1/2 × Length of AB

The midpoint of AB = 8 - 1/2 × 3 = 8 - 1.5 = 6.5

The midpoint of AB = 6.5

When A is the minimum coordinates of the two coordinates, A and B, we have;

The midpoint of AB = Coordinates of A + 1/2 × Length of AB

The midpoint of AB = 8 + 1/2 × 3 = 8 + 1.5 = 9.5

The midpoint of AB = 9.5

Therefore, the possible midpoints of AB are 6.5 and 9.5.

Answer:

1. 3 − 6n

2. Melody: m Fatima: 3m

3. i. Perimeter = y + 10 + 8

   ii. The perimeter is 25 inches when y = 7

Step-by-step explanation:

1. Let the number be represented by n, thus the product of  the number and 6 is 6n.  Since 3 is less than 6n, therefore: 3 - 6n is the appropriate expression.

2. Let Melody's age be represented by m, Fatima is three times Melody's age implies 3m. So that Melody's age is m, while Fatima's age is 3m.

3. Length of the sides of the triangle in inches are 10, 8 and y.

Perimeter = addition of the length of sides of the triangle

                = 10 + 8 + y

When y = 7,

Perimeter = 10 + 8 + 7

                 = 25 inches

Answer:

3-6n

Step-by-step explanation:

Answer:

vertex = (- 3, 5 )

Step-by-step explanation:

The general form of the absolute value function is

y = a | x - h | + k

where (h, k) are the coordinates of the vertex

Given

y = - | x + 3 | + 5 ← in general form, then

vertex = (- 3, 5 )

Answer:

50,000

Step-by-step explanation:

10*5,000=50,000

Answer: 50,000

Step-by-step explanation:

10× 5,000= 50,000

Or

Just add one zero to 5,000 :)

Hope this helps :)

Answer:

Its already a decimal because its no longer a fraction.

Step-by-step explanation:

35000/1 = 35000 or 35000.0

Unless you have:

35000/10 = 3500.0

35000/100 = 350.00

35000/1000 = 35.000

35000/10000 = 3.5000

and so on...

Answer:

It's already a decimal

Step-by-step explanation:

Also there is no "and" signifying the decimal point, so i can't really help, sorry

Answer: 15/143. cannot be simplified

Answer:

15/143

Step-by-step explanation:

5/13 * 3/11

(5*3)/(13*11)

which is equal to 15/143

no factor can go in the two numbers at the same time

therefore it can not be simplified

the final answer is 15/143

Answer:

160

Step-by-step explanation:

because 360 is the total and 50 plus 50 is 100 subtract that by 360 and it's 160

Answer:

f(a+2)=3(a+7)+4/(a+2)

Step-by-step explanation:

To determinef(a+2) you need to substitute a+2 for each occurrence of x in the given function. See below for full explanation.

Explanation:

If

f(x)=3(x+5)+4/x

Then  

f(a+2)=3(a+2+5)+4/a+2

Simplifying gives:

f(a+2)=3(a+7)+4/(a+2)

Answer:

7 x 60 = 420

420 x 60 = 25,200

25,200 feet per hour

Step-by-step explanation:

pls make me as brainleist

Answer:

Step-by-step explanation:

Since ∆LMM is a triangle all it's interior angles sum up to 180°

To find M add up all the angles and N and equate it to 180° to find N

That's

L + M + N = 180

33 + N + 79 = 180

N + 112 = 180

N = 180 - 112

We have the final answer as

Hope this helps you

Answer:

  3π

Step-by-step explanation:

Arc length is given in terms of central angle θ in radians as ...

  s = rθ

For r = 27 and θ = (20/180)π, the arc length is ...

  s = (27)(20/180)π = 3π

The arc length is 3π units.

Answer:

cge

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

To find the slope, pick two points on the line, and use the slope formula

( 1,9) and  (5,7)

m = (7-9 )/(5-1)

   -2/4

  -1/2

Answer:

slope = -1/2

Step-by-step explanation:

Find two points on the line that are easy to read. The easiest points to read are points that lie on grid intersections.

For example, use point (1, 9) and point (3, 8).

slope = rise/run

Rise is the vertical distance between points. Up is positive. Down is negative.

Run is the horizontal distance between points. Right is positive. Left is negative.

You need to go from one point to the other points and note the rise and run.

Start at (1, 9).

Go 1 unit down. That is a rise of -1 since you went down 1 unit.

Now go 2 units right. That is a run of +2 since you went 2 units to the right.

slope = rise/run = -1/2

Answer: slope = -1/2

Answer:

Step-by-step explanation:

(5[tex]x^{2}[/tex]+4x)-(5x+4)

then we factorise the similar factors

x(5x+4)+1(5x+4)

thus factors will be:

(x+1) and (5x+4)

Answer:

Amplitude is 0.3; period is 6π

Step-by-step explanation:

The amplitude is |-0.3| = 0.3.

The period and frequency are related through

                   2π

period  =  ----------

                     b

where b is the coefficient of the independent variable; here that coefficient is 1/3.

Thus, the period here is found using b = 1/3:

period = 2π/b, or 2π/(1/3), or 6π

Based on the figure, the statements that are true are

That is, the first, second and fifth statements.

From the image, we will determine the statements that are true based on the figure.

For the first statement -  SV is perpendicular to TP

From the figure,

SV is a line intersecting plane A at point P, at right angle. That is, SV is perpendicular to point P. Then, SV is perpendicular to plane A since point P lies on the plane.

Also, P lies on the plane (plane A); then we can infer that TP is parallel to plane A since point T also lie on the plane (plane A).

Since, SV is perpendicular to the plane, then SV is also perpendicular to TP.

∴ The statement (SV is perpendicular to TP) is true

For the second statement - SV is perpendicular to plane A

As stated above, SV is perpendicular to point P. Since point P lies on the plane (plane A), then SV is perpendicular to plane A.

∴ The statement (SV is perpendicular to plane A) is true

For the third statement - points S, P and Q are collinear

Collinear points are points that lie on the same line.

Points S, P and Q are not collinear because, a single line cannot pass through the three points, that is, the points (S, P, and Q) do not lie on a single line.

∴ The statement (points S, P and Q are collinear) is NOT true

(From the image, an example of points that are collinear are points S, P, and V)

For the fourth statement - points R, T, and U are collinear

As explained above, points R, T, and U are not collinear because, a single line cannot pass through the three points, that is, the points (R, T, and U) do not lie on a single line.

∴ The statement (points R, T and U are collinear) is NOT true

NOTE: (The points only lie in the same plane (plane A), that is, they are coplanar)

For the fifth statement - point P lies on SV and in plane A

Since line SV intersects plane A at point P, that means point P lies in plane A. Also point P lies on line SV since it is on the line as shown in the image.

∴ The statement (point P lies on SV and in plane A) is true

For the sixth statement - points U, S, V, and Q are coplanar

Points or lines are said to be coplanar if they lie in the same plane.

Of the given points, only point U lies in plane A. Points S, V, and Q do not lie in the same plane and as well do not lie in the same plane as point U.

∴ The statement (points U, S, V, and Q are coplanar) is NOT true.

(From the image, an example of points that are coplanar are points U,P,R, and T because they lie on the same plane).

Hence, based on the figure, the statements that are true are the first, second and fifth statements. that is

Learn more here: https://brainly.com/question/17534787

Answer:

Length = 42 feet

Width = 21 feet

Step-by-step explanation:

Let the length and width be represented by L and W

L = 2W

Perimeter (P) = 126 feet

2(L + W) = 126

L + W = 126/2 = 63

2W + W = 63

3W = 63

W = 63/3 = 21 feet

L = 2W = 2 × 21 feet = 42 feet

Answer:

Solution: Option C

Step-by-step explanation:

Our goal here is to factor the expression such that it is converted into the circle equation (x - a)² + (y - b)² = r² where r = radius centered at point (a,b).

[tex]x^2\:+\:y^2\:+8x\:-\:12y\:+\:43\:=\:0[/tex] (Factor the expression "x² + 8x")

[tex]x^2+8x = x\left(x+8\right)[/tex] (Factor the expression "y² - 12y")

[tex]\:y^2-12y =y\left(y-12\right)[/tex]

That leaves us with the expression [tex]\left(x-\left(-4\right)\right)^2+\left(y-6\right)^2=3^2[/tex], or in other words [tex](x+4)^2 +(y-6)^2 = 9[/tex]. As you can see our solution is option c.

Answer:3x • (2x2 - 3)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  3 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 ((3•(x3))+(4•(x2)))+(((3•(x3))-22x2)-9x)

STEP  

2

:

Equation at the end of step

2

:

 ((3•(x3))+(4•(x2)))+((3x3-22x2)-9x)

STEP  

3

:

Equation at the end of step

3

:

 ((3 • (x3)) +  22x2) +  (3x3 - 4x2 - 9x)

STEP  

4

:

Equation at the end of step

4

:

 (3x3 +  22x2) +  (3x3 - 4x2 - 9x)

STEP

5

:

STEP

6

:

Pulling out like terms

6.1     Pull out like factors :

  6x3 - 9x  =   3x • (2x2 - 3)  

Trying to factor as a Difference of Squares:

6.2      Factoring:  2x2 - 3  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  2  is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Final result :

 3x • (2x2 - 3)

Answer:

Step-by-step explanation:

2/5 m  and -3/5 are like terms

[tex]\frac{2}{5}m-\frac{4}{5}-\frac{3}{5}m= \frac{2}{5}m-\frac{3}{5}m-\frac{4}{5}\\\\\\=\frac{(2-3)}{5}m-\frac{4}{5}\\\\\\=-\frac{1}{5}m-\frac{4}{5}[/tex]

Answer:

w⁴ + 3w³ + 11w² + 6w + 18

Step-by-step explanation:

Rectanle area = height * width

area = (w²+3w+9)(w² + 2)

        = w²*w² + w²*2 + 3w*w² + 3w*2 + 9*w² + 9*2

        = w⁴ + 2w² + 3w³ + 6w + 9w² + 18

        = w⁴+ 3w³ + (9w²+2w²) + 6w + 18

        = w⁴ + 3w³ + 11w² + 6w + 18

Answer:

w^4 + 3w^3 + 11w^2 + 6w + 18.

Step-by-step explanation:

Area = height * width

= (w^2 + 2)(w^2 + 3w + 9)

= w^2(w^2 + 3w + 9) + 2(w^2 + 3w + 9)

= w^4 + 3w^3 + 9w^2 + 2w^2 + 6w + 18

= w^4 + 3w^3 + 11w^2 + 6w + 18.

Answer:

Theorem is a statement that can be proven .

Hope it helps.