how many square metres of floor are there in a room of 6 metres

ig something like that

The required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base  is x³-2x²-75 = 0

The formula for calculating the volume of the conical lid's is expressed as

[tex]V = \frac{1}{3} \pi r^2h[/tex] where:

r is the radius

h is the height

v is the volume

Given the following

r = x

If the conical lid’s height is 2 centimeters less than the radius, x, then;

h = x - 2

V = 25π cm³

Substitute the given values into the formula as shown:

[tex]25 \pi = \frac{1}{3} \pi x^2 (x-2)\\3(25) = x^2(x-2)\\Expand\\75=x^3-2x^2\\Swap\\x^3-2x^2 = 75\\Equate \ to \ zero\\x^3-2x^2 - 75 = 0[/tex]

Hence the required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base  is x³-2x²-75 = 0

[tex] \sf\huge\underline\purple{✏question}[/tex]

The lines presented by equations

[tex]2y + 5x = 2 \sf \: and \: y = - \frac{2}{5} + 3 \: are[/tex]

[tex] \sf\huge\underline\pink{✏ANSWER}[/tex]

PeRpEnDeCuLaR

(Perpendicular)

#BrainliestBunch

y = x^2 - 3x - 4

Factored Form: y = (x - 4)(x + 1)

X-Intercepts: (4,0) and (-1,0)

Axis of Symmetry: x = 1.5

Vertex: (1.5, -6.25)

Domain: All real numbers

Range: y > -6.25

Hope this helps!

9514 1404 393

Answer:

Step-by-step explanation:

1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.

If we choose to make our equation ...

  x = x +1

Subtracting x from both sides of the equation gives ...

  0 = 1

There is no value of the variable that will make this be true.

__

2. Something that reduces to x = c will have one solution. One such equation is ...

  0 = x+1

  x = -1 . . . . subtract 1 from both sides

__

3. Something that reduces to x = x will have an infinite number of solutions.

One such equation is ...

  x+1 = x+1

Subtracting 1 from both sides gives ...

  x = x . . . . true for all values of x

Answer:

√7

Step-by-step explanation:

Let :

AC = x

BD = y ; AD = 3 - y

Since, AD = BC

Then BC = 3 - y

Taking △BDC a d applying Pythagoras

Hypotenus² = opposite² + adjacent²

BC² = CD² + BD²

(3 - y)² = (√3)² + y²

9 - 6y + y² = 3 + y²

-6y + y² - y² = 3 - 9

-6y = - 6

y = 1

AD = 3 - y ; AD = 3 - 1 = 2

Taking △ADC

AC² = CD² + AD²

AC² = (√3)² + 2²

AC² = 3 + 4

AC² = 7

AC = √7

The slope is -1.

You have to find the two closest points where the line directly hits a number. For that, we have -3 in the first quadrant and -3 in the third quadrant. With this info, the line goes down 3 times and to the right 3 times,  The ratio would look like this: [tex]\frac{-3}{3}[/tex]. Divide both and you get -1. Hope that helped!

Answer:

2)

3)

4)

5)

6)

Step-by-step explanation:

Answer:

domain is { - 1, 0, 1 }

Step-by-step explanation:

The domain are the values of the input x

Substitute the value from the range y into the equation and solve for x

y = 1

2x + 3 = 1 ( subtract 3 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

-------------------------------

y = 3

2x + 3 = 3 ( subtract 3 from both sides )

2x = 0 , then

x = 0

-------------------------------

y = 5

2x + 3 = 5 ( subtract 3 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Then the domain is { - 1, 0, 1 }

Answer:

Answer is D

Step-by-step explanation:

cuh s

Answer:

2 is the answer........

Answer:

the answer is 38 degrees

Step-by-step explanation:

just took test on ed

Answer:

27 hours

Step-by-step explanation:

Take the amount of dirt and divide by the amount per hour

18 tons ÷ 2/3 ton per hour

Copy dot flip

18 * 3/2

Rewriting

18/2 * 3/1

9*3 = 27

27 hours

Step-by-step explanation:

here's the answer to your question

Answer:

Step-by-step explanation:

Answer:

c) ( x-15)/-8

Step-by-step explanation:

c) (x-15) / -8

Answer:

Solution given:

y = -8x + 15

interchanging role of x and y

we get

x=-8y+15

solve for y

x-15=-8y

divide both side by-8

we get

-8y/-8=(x-15)/-8

y=(x-15)/-8

:.

C. y = (x - 15)/-8 is a required inverse.

5. The constant of proportionality is 1.5

The equation is p = 1.5×s

6. The constant of proportionality is 1.99

The equation is p = 1.99 × a

7. The variables Number of Pens and Cost  are not proportional

Please find attached the required graph

8. The variables Number of minutes and Words Typed are not proportional

Please find attached the required graph

The procedure for finding the answers are as follows;

5. The given data are presented as follows;

[tex]\begin{array}{ccc}Shirts \ (s)&&Profit \ (p)\\5&&7.50\\10&&15.00\\15&&22.50\end{array}[/tex]

Where two variables, s and p are proportional, we get;

p ∝ s

Therefore;

p = C × s

C = p/s

Where;

C = The constant of proportionality

Therefore, the constant of proportionality, C, of the given variables, (number of shirts, s, and profit, p, is found as follows;

C = 7.50/5 = 15.00/10 = 22.50/15 = 1.5

The constant of proportionality, C = 1.5

The equation that relates the two values is p = 1.5×s

6.  For the apples to price relationship, we have;

[tex]\begin{array}{ccc}Apples \ (a)&&Price\ (p)\\4&&7.96\\5&&9.95\\6&&11.94\end{array}[/tex]

Therefore;

p ∝ a

p = C × a

C = p/a

Plugging in the values gives;

C = 7.96/4 = 9.95/5 = 11.94/6 = 1.99

The constant of proportionality, C = 1.99

Therefore, the equation relating the two values is p = 1.99 × a

7. The given data is presented in a tabular form as follows;

[tex]\begin{array}{ccc}Number \ of \ pens &&Cost\ \\1&&52\\2&&54\\3&&56\\4&&58\end{array}[/tex]

A set of data is proportional or has a proportional relationship if their x, and therefore, y-intercept is (0, 0)

From the graph of the data, created with MS Excel, the y-intercept is 50 which is not equal to zero, therefore, the relationship between the data is not a proportional relationship

8. The given data is presented in a tabular form as follows;

[tex]\begin{array}{ccc}Number \ of \ Minutes&&Words \ Typed\ \\1&&50\\2&&90\\3&&140\\4&&180\end{array}[/tex]

From the graph of the data, we have that the y-intercept of the line of best fir is 5, therefore, the relationship is not a proportional relationship

Learn more about proportional relationships here;

https://brainly.com/question/24289972.

Answer:

x=45°

Does the answer help you?

Answer: The HL Theorem can be used to prove ABR ≅ RCA because both triangles share the same hypotenuse and a leg. The HL theorem states that If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Answer:

Plant B

Step-by-step explanation:

When you compare the number of tomatoes she picks from plant B with plant A, you will notice that plant B has not produced less tomatoes than plant A in any day but it has either produced the same or more number of tomatoes.

Answer:

x = 4, -4, 7i, -7i

Step-by-step explanation:

(x^2 – 16)(x^2 + 49) = 0

x^2 – 16 = 0 or x^2 + 49 = 0

x^2 = 16 or x^2 = -49  

x = ± 4 or x^2 = ±7√-1  =±7i

Angle 3 and Angle 5 are corresponding angles. Corresponding angles lie in the same relative position. As such, they are congruent.

50x - 100 = 25x + 25

25x - 100 = 25

25x = 125

x = 5

Angle 3 = 50(5) - 100 = 250 - 100 = 150

Angle 5 = 25(5) + 25 = 125 + 25 = 150

Hope this helps!

Answer:

Step-by-step explanation:

find the value of a and b if 5+√3/7+2√3=a-b√3

Answer:

x = 19

Step-by-step explanation:

The two angles with measures are supplementary.

6x + 9 + 4x - 19 = 180

10x - 10 = 180

10x = 190

x = 19

Answer:

10x -10

Step-by-step explanation:

this answer is really sure

Answer:

x=4

Step-by-step explanation:

3/4x +4 = 7

3/4x +4-4 = 7-4

3/4x = 3

Multiply each side by 4/3

4/3 * 3/4x = 3 *4/3

x = 4

Answer:

x = 4

Step-by-step explanation:

3/4x + 4 = 7

3/4x = 3

To remove the denominator, we multiply by 4 on both sides

3x = 12

x = 4

Answer:

240

Step-by-step explanation:

We are given a right triangle. Based on the leg rule, the following equation shows how the length of a leg in a right triangle relates with the segments connected to the hypotenuse:

Hypotenuse/leg = leg/part

Where,

Hypo = 400

Leg = x

Part = 144

Substitute

400/x = x/144

Cross multiply

400*144 = x*x

57,600 = x²

√57,600 = x

240 = x

x = 240

Answer: [tex]9\sqrt{2}[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem:

[tex]9^{2} +9^{2} =x^{2}\\x=\sqrt{9^{2} +9^{2}} =\sqrt{2(9)^{2} } =9\sqrt{2}[/tex]

An amount of $ 5272 he will have in the account at the beginning of year 9. Option D is corect.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The expression is;

[tex]\rm A(n) = 4500(1+0.02)^{n-1}[/tex]

At the beginning of 9-year value of n is 9,substitute the value to get he amount;

[tex]\rm A(n) = 4500(1+0.02)^{n-1} \\\\ \rm A(n) = 4500(1+0.02)^{9-1} \\\\ A(n) = \$ 5272[/tex]

Hence, option D is corect.

To learn more, about equations, refer;

https://brainly.com/question/10413253

#SPJ1

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[tex]\sf↦ Product ~of ~numbers = 10000\\\\↦ n × 16n = 10000\\\\↦ 16n² = 10000\\\\↦ n² = \sf \dfrac{10000}{16}\\\\↦ \sf n = \sqrt{\dfrac{10000}{16}}\\\\↦ \sf n = \sqrt{\dfrac{100\:\times\:100}{4\:\times\:4}}\\\\↦ \sf n = {\cancel{\dfrac{100}{4}}}\\\\➦\pmb{\underline{\boxed{\sf{\pink{n = 25}}}}}[/tex]

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Answer:

Step-by-step explanation:

Let the numbers be x and y.

We have:

Substitute y and solve for x:

Then y is:

The numbers are:

Answer:

1.08915145

Step-by-step explanation:

First of all do 39 x 52, which equals 2028. Then to do the second part of the equation we move the two bottom numbers place value up by one giving us 38 x 49 which is 1862. And then we put 2028 divided by 1862 into our calculators and get the answer as 1.08915145.

Answer:

23•1

Step-by-step explanation:

83°/360°×100km=23•1