Raphael's Gym has a climbing wall that starts at the gyms basement, 9 feet above the ground level. The wall extends to 21 feet above the ground level. what is the total height of the climbing wall? Represent this situation with a number. Then, explain your answer.

Answer:

Step-by-step explanation:

the percentage error: P

Approximate value=a 1.41

Exact = e(1.41421356 or √2)

p=[(e-a)/e]×100

p=[√2-1.41)/√2]×100

p=0.29794385 ≅0.30 or 30 percent when rounded to the nearest hundredth

b: p=[(π-3.14)/π]×100=0.05069573≅0.05 =5 percent when rounded to the nearest hundredth. in the pi case the percentage of error is small 5 % but in the case of square roots the percentage id higher(30%). in this case it is better to round the answer at the end of calculation( math problem)

c) sometimes when rounding square roots or irrational number like pi it is useful to use decimal approximate, in the case of pi the percentage rate was 5 percent which is very low comparing to the square root which is 30 %.

Answer:

26 coaches and 143 players

Step-by-step explanation:

11/2=5.5

22/4=5.5

143/26=5.5

Answer:

26 coaches and 143 players

Step-by-step explanation:

Answer -rational numbers and irrational numbers

Using number sets, it is found that the set of dense numbers is composed of rational and irrational numbers. Therefore, option C is the correct answer.

From options, we need to check which answer describes the type of numbers that are dense.

Numbers are an integral part of our everyday lives, right from the number of hours we sleep at night to the number of rounds we run around the racing track and much more. In math, numbers can be even and odd numbers, prime and composite numbers, decimals, fractions, rational and irrational numbers, natural numbers, integers, real numbers, rational numbers, irrational numbers, and whole numbers.

Numbers can be classified as:

Whole numbers: All positive numbers and 0, so: {0,1,2,...}

Integer numbers: Positive or negative, not decimal so: {...,-2,-1,0,1,2,....}

Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459 (4459 repeating is the pattern).

Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339, which can be approximated to the rational 0.1.

Real numbers: Rational plus irrational.

A subset is dense of the rational numbers if all numbers can be approximated to rational numbers, and thus, rational and irrational numbers are dense.

Therefore, option C is the correct answer.

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Answer:

The first one is greater in value

Step-by-step explanation:

3 x 2 + x − 2 VS 4 x − 1

Answer:

im lik 999999999

percent sure its 2

Step-by-step explanation:

Answer:

divide r by s and multiply by 3   :3   :8    xD

Step-by-step explanation:

Answer:

Area: 6x+6

Perimiter: 4x+10

Step-by-step explanation: to find the area of something multiply the width times the height. to find the perimeter of something add each side together. use the order of operations (PEMDAS).

Area=3(2x+2)

Area=6x+6

Perimeter=3+3+(2x+2)+(2x+2)

Perimeter=6+4x+4

Perimeter=4x+10

Answer:

Area=length*width

A=3(2x+2)=6x+6 unit squar

Perimeter = 2l+2w

P=2(3)+2(2x+2)

P=6+4x+4

P=10+4x

Answer:

The angle of rotation is 120°

Step-by-step explanation:

The given quadrilateral A can be taken as being upright form, however, by measurement, using a protractor application, the base of the quadrilateral is inclined at an angle of 13° to the horizontal, the positive direction of the x-axis, before rotation while the base of the B which is the image of A after rotation, is found to be at angle of 133° to the positive direction of the horizontal x-axis

Therefore, the angle of rotation = 133° - 13° = 120°

Answer:

384

Step-by-step explanation:

Triangle sides: 12x10/2. Then multiply by four to get all four sides.

Bottom: 12x12.

Add together, get 384.

Answer:

25. No slope

Step-by-step explanation:

25. Y2 - Y1 / X2 - X1

= -8 - (-3) / 9 - 9

= -5 / 0

= no slope; straight line

Use this formula (Y2 - Y1 / X2 - X1) for each ques.

Answer:

shift to the right 1 unit, shift down 2 units

Step-by-step explanation:

because x+1 which mean shift to the right 1 unit as +1 is positive

down 2 because y is -2 as well as shift down 2 units

[tex]-7x-9y=-8[/tex]

[tex]5x+6y=4[/tex]

[tex]-35x-45y=-40[/tex]

[tex]35x+42y=28[/tex]

[tex]-3y=-12[/tex]

[tex]y=4[/tex]

[tex]5x+6(4)=4[/tex]

[tex]5x+24=4[/tex]

[tex]5x=-20[/tex]

[tex]x=-4[/tex]

[tex](-4,4)[/tex]

Hope this helps.

頑張って!

Answer:

V=[tex]\pi[/tex]5^2*6

Step-by-step explanation:

If this makes it a little easier to read:

V = [tex]\pi[/tex] * 5^2 * 6

This is the answer when you solve it btw:

471.24

Also, who buys a swimming pool in the shape of a cylinder?

The volume of the cylinder is 471 square feet.

Given,

Nela is filling her circular backyard swimming pool.

The radius of the pool is 5 feet and the height is 6 feet.

We need to find the volume of the cylinder.

It is given by:

V =  [tex]\pi[/tex] r² h.

Find the volume of the cylinder

V =  [tex]\pi[/tex] r² h

We have,

h = 6 feet and r = 5 feet

V = 3.14 x 5² x 6

V = 3.14 x 25 x 6

V = 471 square feet.

Thus the volume of the cylinder is 471 square feet.

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Answer:

[tex] \huge{ \fbox{ \sf{x = 5}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf \: - 8 = 12 - 4x}[/tex]

[tex] \text{Step \: 1 \: : Swap \: the \: sides \: of \: the \: equation}: [/tex]

[tex] \mapsto{ \sf{12 - 4x = - 8}}[/tex]

[tex] \text{Step \: 2 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}[/tex]

[tex] \mapsto{ \sf{ - 4x = - 8 - 12}}[/tex]

[tex] \text{Step \: 3 \: : Calculate}[/tex]

[tex] \text{ \underline{Remember ! }} : \sf{ \: The \: negative \: integers \: are \: always \: added \: but \: posses \: the \: negative \: ( - ) \: sign.}[/tex]

[tex] \mapsto{ \sf{ - 4x = - 20}}[/tex]

[tex] \text{Step \: 4 \: : Divide \: \: both \: sides \: by \: 4}[/tex]

[tex] \mapsto{ \sf{ \frac{ - 4x}{ - 4} = \frac{ - 20}{ - 4}}} [/tex]

[tex] \text{Step \: 5 \: : Calculate}[/tex]

[tex] \mapsto{ \sf{x = 5}}[/tex]

Hope I helped!

Best regards! :D

~[tex] \sf{TheAnimeGirl}[/tex]

Answer:

Barry's kart is faster as he goes 21 Mph while Alan only goes 19.89 Mph.

Step-by-step explanation:

First to get this answer we need to convert feet per minute to miles per hour. So we multiple 1750 feet per minute by 60 to get a hour. This gets up 105000 total feet in a hour. Now we need to divide this by 5280, which is how long a mile is, to get 19.89 miles which is how many miles he travels in a hour making him travel 19.89 mph which is less than 21 making Barry faster.

Answer:

4x + 15

Step-by-step explanation:

Let the age of Khairul's uncle y.

From the question given above, the following were obtained:

Khairul's age = x years

In 5 years time:

Khairul's age = x + 5

Khairul's uncle age = y + 5

But from the question given above,

Khairul`s uncle will be 4 times as old as what khairul will be in 5 years. This can be written as follow:

y + 5 = 4(x + 5)

Clear bracket

y + 5 = 4x + 20

Subtract 5 from both side

y + 5 – 5 = 4x + 20 – 5

y = 4x + 15

Therefore, Khairul's uncle present age is 4x + 15

Answer:

Step-by-step explanation:

This problem tests our ability to express word problem using equation

Given data

Khairul age = x years

let the uncle's age be y

in five years time, Khairul will be = x+5

in five years time, the uncle will be = y+5

hence Khairul uncle's age  is  

y= 4(x+5)

y=4(x+5)

y=4x+20

hence the uncles current age is

y+5=4x+20

y= 4x+20-5

y= 4x+15

Answer:

We factor the number 16 into prime numbers to get their factors.

We do the same with any given number. Only if it has the same factor as 16 that numberwill be divisible by 16

Both numbers proposed (144&256) are divisible by 16

Step-by-step explanation:

To prove it we need to factor the number 16 to get their expression in prime numbers:

16     2

 8    2

 4    2

 2    2

 1

16 is equal to [tex]2^{4}[/tex]

We have to factor a number and if their factor include [tex]2^{4}[/tex] or a higher power

then, they are divisible by 16

144        2

 72       2

 36       2

 18        2

   9       3

   3       3

   1

144 is queal to:  [tex]2^4 . 3^2[/tex] as it does have [tex]2^4[/tex] It is divisible by 16

256         2

128          2

  64        2

  32        2

   16        2

    8        2

    4        2

    2        2

    1

256 is equal to [tex]2^8[/tex] This contains [tex]2^4[/tex] as [tex]2^8 = 2^4 . 2^4[/tex]

therefore it is divisible by 16

Answer:

See below

Step-by-step explanation:

Evaluate the expressions if x = 10, y = 5, and z = 1.

Answer:

see below

Step-by-step explanation:

⇒  -7y - (-12y) = -7y + 12y =  5y

⇒  15xy - (-6xy) = 15xy + 6xy = 21xy

⇒  -53va - 32va =    - 85av

⇒  64 / 0.8 -5.6 / 7

   = 448 - 7.48

          5*6

    = 79.2

⇒    -(x -3) + 6

   = -x + 3 + 6

   = -x + 9

⇒  6 + 3 (9)

   = 6 + 27

   = 33

Evaluate the expressions if x = 10, y = 5, and z = 1.

⇒  x/y = 10 / 5 = 2

⇒  xy + z = 10*5 + 1 = 51

⇒  5 (z - x) = 5(1 - 10) = 5 - 50 = 45

Answer/Step-by-step explanation:

Line segment AB consists of segment AC and segment CB.

AC = 7 cm

CB = 21 cm

The entire segment, AB = 21 + 7 = 28cm

The ratio of the segments partitions can be stated as follows:

Ratio of AC to CB = AC:CB = 7:21 = 1:3 = [tex] \frac{1}{3} [/tex]

AC is ¼ of AB [tex] (\frac{1}{1 + 3} = \frac{1}{4}) [/tex]

CB is ¾ of AB [tex] (\frac{3}{1 + 3} = \frac{3}{4}) [/tex]

Answer:

3 a (a + 2) + 2 b^2 or a (3 a + 6) + 2 b^2 or 3 (a + 1)^2 + 2 b^2 - 3

Step-by-step explanation:

Answer:

The base length of the triangle is 34.5 mm.

34.5×2+5=74.

Step-by-step explanation:

Subtract 5 from 74 then divide 2 from 69 and you will get 34.5.

Answer:

The first answer is 74=2b+5

And the second answer is 34.5

Step-by-step explanation:

Answer:C

Step-by-step explanation:

Answer:

h,  negative,  negative

Step-by-step explanation:

Answer:

2<x>16

Step-by-step explanation:

Answer:

  A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin

Step-by-step explanation:

The figure is obviously rotated 180°. If the rotation is first, the image would be in the 4th quadrant, where it would stay after translation downward.

If the translation is downward first, it would be in the 3rd quadrant, moving to the first quadrant after rotation by 180°. This is the apparent sequence of transformations:

  translation down 5, rotation 180°

Answer:

translation down 5, rotation 180°

Step-by-step explanation:

Answer:

5.4 * 10^6 in.

Step-by-step explanation:

3000 * 1800 in. = 5,400,000 in. = 5.4 * 10^6 in.

Answer:

Step-by-step explanation:

Answer:

The false statement is ∠1 ≅ ∠2.